TOPIC RATIO & PROPORTION - 2

RATIO & PROPORTION - 2

QUANT

By Prabal Sir www.oliveboard.in

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TOPIC RATIO & PROPORTION - 2

The ratio of the incomes of A and B is 6:5

and the ratio of the expenditures is 11:5. If
each of them saves Rs.2500, what is the
difference between the income of A and the
expenditure of B?
A.Rs.3200
B.Rs.3100
C.Rs.2900
D.Rs.3000
E.None of these

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TOPIC RATIO & PROPORTION - 2

Monthly salaries of A and B are in the ratio 8:

9 respectively. Monthly expenditure of A is
140% more than the monthly savings of B.
Monthly expenditure of B is Rs. 2000 more
than the monthly expenditure of A. Find the
difference in the yearly salaries of A and B if
the monthly savings of A and B are in the
ratio 4: 5 respectively.
A. Rs. 4000
B. Rs. 18000
C. Rs. 36000
D. Rs. 45000
E. None of these

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TOPIC RATIO & PROPORTION - 2

The number of students in school A, B and C

are in a ratio of 5 : 4 : 8 respectively. If the
number of students is increased by 40%,
75% and 25% respectively in next year and
the total students after increment is 1200,
what was the total number of students
initially?
A. 900
B. 800
C. 850
D. 750
E. None of these

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TOPIC RATIO & PROPORTION - 2

A certain sum of money was divided among

P, Q and R in a certain way. Q received one
third of what P and R together did and P got
one fourth of what Q and R together did. Find
the ratio of shares of P, Q and R respectively.
A. 5 : 4 : 11
B. 4 : 5 : 11
C. 5 : 11 : 4
D. 11 : 4 : 5
E. None of these

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TOPIC RATIO & PROPORTION - 2

The ratio of the number of male population in

villages A and B is 10:9 and the ratio of the
number of male to female population in A is
4:5. If the number of female population in B
is 1100 more than the number of female
population in A and the difference between
the number of male population in A and B is
200, then find the number of female
population in B?
A.3200
B.3600
C.3400
D.3500
E.3300

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TOPIC RATIO & PROPORTION - 2

Incomes and Raji and Moni are in the ratio of

5 : 6 and their expenditures are in the ratio of
10 : 13. If Raji saves Rs.5000 and Moni saves
Rs. 4000, then find the expenditure of Raji?
A.Rs. 16000
B.Rs. 18000
C.Rs. 24000
D.Rs. 20000
E.None of these

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TOPIC RATIO & PROPORTION - 2
There were 1500 students in a department of
University. Number of Girls in department was
2/3rd of number of Boys. Ratio of no. of female
professors to no. of girls in department was 1 : 3.
Find out the number of female professors in
department.
विश्वविद्यालय के एक विभाग में 1500 छात्र थे। विभाग में लड़
वकयों की सख्ं या लड़कों की सख्
ं या में 2/3 थी। विभाग में लड़
A) 250 वकयों की सख् ं या के वलए मविला प्रोफे सोों की सख्
ं या का अनु
B) 200 पात 1:3 था। विभाग में मविला प्रोफे सोों की सख्
ं या ज्ञात कीवि
C) 300 ए।
D) 350
E) NOT
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TOPIC RATIO & PROPORTION - 2
The ratio of the two numbers P and Q is 5 : 7,
when 22 is added in the P and 35 is added in Q,
the ratio becomes 7 : 10. 48% of Q is what
percentage of 60% of P?
दो संख्याओ ं P औो Q का अनुपात 5 :
7 िै, िब 22 को P में औो 35 को Q में िोड़ा िाता िै, तो
यि अनपु ात 7 : 10 िो िाता िै। तो Q का 48%,
A) 120% P के 60% का वकतना प्रवतशत िै?
B) 115%
C) 112%
D) 130%
E) NOT
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TOPIC RATIO & PROPORTION - 2
A bag contains one-rupee, 50 paise and 25 paise
coins in the ratio 5 : 6 : 8. If the total amount of
money in the bag is Rs. 420, find the difference
of number of coins of one rupee and 50 paise
coin?
एक बैग में 5 : 6 : 8. के अनुपात में एक रुपये,
50 पैसे औो 25 पैसे के वसक्के िैं। यवद बैग में कुल ोावश 42
0 रूपये िै, तो एक रुपये के वसक्के औो 50 पैसे के वसक्के
A) 30 का अंतो ज्ञात कीविये?
B) 40
C) 36
D) 42
E) NOT
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TOPIC RATIO & PROPORTION - 2
The ratio of income of A and B is 9 : 10 and
ratio of their expenditure is 4 : 5
respectively. If each of them saves Rs 10000,
then what is the income of B?
A औो B की आय का अनुपात क्रमशः 9 : 10 िै औो
उनके व्यय का अनुपात क्रमशः 4 : 5 िै। यवद उनमें से
प्रत्येक 10000 रुपये बचाता िै, तो B की आय क्या
A) 25000 िै?
B) 20000
C) 15000
D) 18000
E) NOT
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TOPIC RATIO & PROPORTION - 2
On teacher’s day, goodies were to be equally
distributed amongst 1080 children. But on
that particular day, 270 children remained
absent & hence each child got 4 extra
goodies. How many goodies were each child
originally supposed to get?
वशक्षक वदिस पो 1080 बच्‍चों में बोाबो वमठाई बांटी
A) 20 िानी थी। लेवकन उस वदन 270 बच्‍चे अनुपव‍‍थत िो
B) 20 गए विससे प्रत्‍येक बच्‍चे को 4 अवतरोक्‍त वमठाई
C) 15 वमलीं। प्रत्‍येक बच्‍चे को मूल रूप से वकतनी वमठाई
D) 12 वमलनी चाविए?
E) NOT
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TOPIC RATIO & PROPORTION - 2
Ratio of the number of boy students to girl students
in a school is 4:3 and the ratio of the number of
female to male teachers in the same school is 3:2. If
the number of male teachers is equal to the number
of boy students in the school and the total number of
teachers and students in the school is 170, find the
difference between the number of girl students and
female teachers in the school?
A.30
B.40
C.20
D.Cannot be determined
E.None of these
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TOPIC RATIO & PROPORTION - 2
An engineering college has two courses B. Tech and M. Tech. In a
particular year, the total number of students in M. Tech course was
40% less than the total number of students in B. Tech course. In
B.Tech course, if 55% of the total number of students are girls and in
M.Tech course, 11/20th of the total number of students are boys, then
find the ratio of the number of boys enrolled in the B.Tech course
and the number of girls enrolled in the M.Tech. course.
एक इि ं ीवनयरोंग कॉलेि में दो पाठ्यक्रम B. Tech औो M. Tech िैं। एक विशेष
A) 6:5 िषष में, M. Tech पाठ्यक्रम में कुल छात्रों की सख्
ं या, B. Tech पाठ्यक्रम में कुल
B) 5:7 छात्रों की सख्ं या की तल
ु ना में 40% कम थी। B. Tech पाठ्यक्रम में, कुल छात्रों
की सख्ं या का 55% छात्र लड़की िैं औो M. Tech पाठ्यक्रम में, कुल छात्रों की
C) 5:3 सख्
ं या का 11/20 िााँ भाग छात्र लड़के िैं, तो B. Tech पाठ्यक्रम में लड़कों की
D) 4:5 सख्ं या औो M. Tech पाठ्यक्रम में लड़वकयों की सख् ं या का अनपु ात ज्ञात कोें।
E) NOT
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TOPIC RATIO & PROPORTION - 2
6. By mistake, instead of dividing Rs. 1170 among A, B
𝟏 𝟏 𝟏
and C in the ratio 𝟐 : 𝟑 : 𝟒, it was divided in the ratio of
2 : 3 : 4. Who gains the most and by how much?
गलती से A, B और C के बीच 1170 रुपये को 1/2: 1/3: 1/4 के
बीच विभाजित करने के बिाय, इसे 2: 3: 4 के अनप ु ात में
विभाजित कर दिया गया था। ककसको सबसे अधिक और ककतने
अधिक रुपये ममले?
A. A by Rs. 250
B. B by Rs. 240
C. B by Rs. 300
D. C by Rs. 250
Ans. D
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TOPIC RATIO & PROPORTION - 2
If the ratio of the number of balls in box
A and box B is 4:5 and the ratio of the
balls in box C to D is 3: 4. If the number
of balls in box D is 4 less than the
number of balls in B and the average
number of balls in all the boxes together
is 87, then what is the number of balls in
box A?
A.100
B.60
C.40
D.80
E.None of these

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TOPIC RATIO & PROPORTION - 2
The ratio of the number of male to
female in Chennai and Bangalore is 3:2
and 7:3 respectively. If 20% of the male
from Chennai are undergraduate and
60% female from Bangalore are
postgraduate. If the postgraduate males
from Chennai and postgraduate female
from Bangalore is 3300 and the total
number of people in Chennai and
Bangalore is equal, then what is the total
male population in Chennai and Female
population in Bangalore?
A.4500
B.4200
C.4000
D.4800
E.None of these
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TOPIC RATIO & PROPORTION - 2
Ratio of the employees in company A to
B is 6: 5 and the number of employees in
C to A is 13: 10. If the ratio of the
number of male to female employees in
A, B and C is 7: 5, 2: 3 and 7: 6
respectively, then the number of female
employees in all the companies together
is approximately what percent of the
total number of employees in all the
companies together?
A.42%
B.45%
C.48%
D.51%
E.54%

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TOPIC RATIO & PROPORTION - 2

Ratio of the income of Vivek and Vinesh is 5:

3 and the ratio of the expenditure of Vivek
and Vinesh is 3: 2. If the savings of Vivek and
Vinesh is Rs.3200 and Rs.1800 respectively,
then what is the difference between the
income Vivek and Vinesh?
A.Rs.500
B.Rs.1000
C.Rs.1500
D.Rs.2000
E.None of these

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TOPIC RATIO & PROPORTION - 2

Incomes and Raji and Moni are in the ratio of

5 : 6 and their expenditures are in the ratio of
10 : 13. If Raji saves Rs.5000 and Moni saves
Rs. 4000, then find the expenditure of Raji?
A.Rs. 16000
B.Rs. 18000
C.Rs. 24000
D.Rs. 20000
E.None of these

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TOPIC RATIO & PROPORTION - 2
If the ratio of the number of balls in box
A and box B is 4:5 and the ratio of the
balls in box C to D is 3: 4. If the number
of balls in box D is 4 less than the
number of balls in B and the average
number of balls in all the boxes together
is 87, then what is the number of balls in
box A?
A.100
B.60
C.40
D.80
E.None of these

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TOPIC RATIO & PROPORTION - 2
The ratio of the number of male to
female in Chennai and Bangalore is 3:2
and 7:3 respectively. If 20% of the male
from Chennai are undergraduate and
60% female from Bangalore are
postgraduate. If the postgraduate males
from Chennai and postgraduate female
from Bangalore is 3300 and the total
number of people in Chennai and
Bangalore is equal, then what is the total
male population in Chennai and Female
population in Bangalore?
A.4500
B.4200
C.4000
D.4800
E.None of these
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TOPIC RATIO & PROPORTION - 2
Ratio of the employees in company A to
B is 6: 5 and the number of employees in
C to A is 13: 10. If the ratio of the
number of male to female employees in
A, B and C is 7: 5, 2: 3 and 7: 6
respectively, then the number of female
employees in all the companies together
is approximately what percent of the
total number of employees in all the
companies together?
A.42%
B.45%
C.48%
D.51%
E.54%

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TOPIC RATIO & PROPORTION - 2
Atul divides some money among his
three children A, B and C. The ratio of
amount received by A and C together to
the amount received by B is 5:2. C
received 150% of the amount received by
A. If the amount received by C is Rs.
1500. Find the sum of amount received
by A and B together.
A.Rs. 1500
B.Rs. 1000
C.Rs. 2000
D.Rs. 2500
E.Rs. 3000

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TOPIC RATIO & PROPORTION - 2
In the income statement of Asha and
Ravenna, the ratio of their income in the
year 2017 was 5 : 4. The ratio of Asha’s
income in the year 2018 to that in 2017
is 3 : 5 and the ratio of Ravenna’s income
in the year 2018 to that in 2017 is 3 : 2. If
Rs. 10242 is the sum of the income of
Asha and Ravenna in the year 2018, then
find the income of Ravenna in the year
2017?
A. Rs. 1024
B. Rs. 1138
C. Rs. 2776
D. Rs. 2420
E. Rs. 4552

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TOPIC RATIO & PROPORTION - 2

The number of students in school A, B and C

are in a ratio of 5 : 4 : 8 respectively. If the
number of students is increased by 40%,
75% and 25% respectively in next year and
the total students after increment is 1200,
what was the total number of students
initially?
A. 900
B. 800
C. 850
D. 750
E. None of these

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TOPIC RATIO & PROPORTION - 2

Monthly salaries of A and B are in the ratio 8:

9 respectively. Monthly expenditure of A is
140% more than the monthly savings of B.
Monthly expenditure of B is Rs. 2000 more
than the monthly expenditure of A. Find the
difference in the yearly salaries of A and B if
the monthly savings of A and B are in the
ratio 4: 5 respectively.
A. Rs. 4000
B. Rs. 18000
C. Rs. 36000
D. Rs. 45000
E. None of these

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TOPIC RATIO & PROPORTION - 2

The ratio of the expenditure to savings of

Rajesh is 2:1 and 25% of the income of Nallu
is equal to 40% of his income of Rajesh. If
the expenditure of Nallu is double the
expenditure of Rajesh, then the savings of
Nallu is what percentage of the savings of
Rajesh?
A.70%
B.30%
C.80%
D.50%
E.None of these

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TOPIC RATIO & PROPORTION - 2
A sum of Rs.x was distributed to five persons A, B,
C, D and E. The ratio of the amount received by B to
C is 6: 5 and the ratio of the amount received by C
to E is 4: 5 and D received 70% of the total amount
received by E. If E received the amount is Rs.1000
more than that of A and A received Rs.2500, then
find the value of x?
A. 14610
B. 15210
C. 14820
D. 15810
E.None of these

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TOPIC RATIO & PROPORTION - 2

Three persons P, Q, R spend

75%, 70%, 80% of their
income. Their saving ratio is 20
: 9 : 8. Find the total amount of
their income is 45,000 then find
their incomes. तीन व्यवि P, Q,
R अपनी आय का 75%, 70%,
80% खचष कोते िैं। उनका बचत
अनुपात 20:9:8 िै। ज्ञात कीविए वक
उनकी आय की कुल ोावश 45,000 िै
तो उनकी आय ज्ञात कीविए।

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TOPIC RATIO & PROPORTION - 2
Ratio of the number of boy students to girl students
in a school is 4:3 and the ratio of the number of
female to male teachers in the same school is 3:2. If
the number of male teachers is equal to the number
of boy students in the school and the total number of
teachers and students in the school is 170, find the
difference between the number of girl students and
female teachers in the school?
A.30
B.40
C.20
D.Cannot be determined
E.None of these
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TOPIC RATIO & PROPORTION - 2
Ratio of the number of shirts and T-shirts in the bag is
5:4. If the number of shirts in the bag is increased by
60% and the number of T-shirts in the bag is increased
by 40, then the ratio of the number of shirts and t-
shirts in the bag becomes 2:3. Find the initial number
of T-shirts in the bag?
A.16
B.20
C.24
D.28
E.32

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TOPIC RATIO & PROPORTION - 2

x% of 36% of 83.333% of 800 = 3 * y. The

income of Renu is Rs.300x and the
expenditure of Renu is Rs.225y. The savings
of Renu is what percent of the income of
Renu?
A.20%
B.30%
C.50%
D.40%
E.None of these

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TOPIC RATIO & PROPORTION - 2

The ratio between a two digit and the number

formed by reversing the digits is 4:7
respectively. If the difference between the
digits is 4, find the original number.
A.84
B.48
C.24
D.36
E.Can’t be determined

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TOPIC RATIO & PROPORTION - 2

Ratio of the income of Vivek and Vinesh is 5:

3 and the ratio of the expenditure of Vivek
and Vinesh is 3: 2. If the savings of Vivek and
Vinesh is Rs.3200 and Rs.1800 respectively,
then what is the difference between the
income Vivek and Vinesh?
A.Rs.500
B.Rs.1000
C.Rs.1500
D.Rs.2000
E.None of these

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TOPIC RATIO & PROPORTION - 2

The ratio of the incomes of A and B is 6:5

and the ratio of the expenditures is 11:5. If
each of them saves Rs.2500, what is the
difference between the income of A and the
expenditure of B?
A.Rs.3200
B.Rs.3100
C.Rs.2900
D.Rs.3000
E.None of these

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TOPIC RATIO & PROPORTION - 2

Ratio of the weight of Arun and Varun is 9:11

respectively. If the difference between the
weight of Arun and Tharun is 15 kg and the
weight of Tharun is 5 kg more than that of
Varun, then find the weight of Arun?
A.27 kg
B.36 kg
C.54 kg
D.45 kg
E.None of these

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TOPIC RATIO & PROPORTION - 2
The salaries of P, Q and R are in the ratio of 5: 4: 3.
If the increments of 5%, 15% and 25% are allowed
respectively in their salaries, then what will be the
new ratio of their salaries?
A.92: 75: 105
B.105: 92: 75
C.75: 92: 105
D.75: 105: 92
E.None of these

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TOPIC RATIO & PROPORTION - 2
P, Q, R and S are four partners in a business. P
invested 1/4th of the total amount of investment, Q
invested 1/5th of the total amount of investment, R
invested 1/3rd of the total amount of investment and
the remaining amount was invested by S, then find
the ratio of the investments of S, P, R and Q.
A.13:20:12:15
B.13:20:15:12
C.13:15:20:12
D.13:15:12:20
E.13:12:15:20

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TOPIC RATIO & PROPORTION - 2

Gowri distributed some amount to his three

children A, B and C.16.67% of the amount
given to A, 40% of the remaining amount
given to B and the remaining amount given
to C. If the total amount received by C is
Rs.6450, then find the total amount
distributed by Gowri to his children?
A.Rs.15000
B.Rs.9300
C.Rs.12900
D.Rs.7260
E.None of these

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TOPIC RATIO & PROPORTION - 2

The number of students in school A, B and C

are in a ratio of 5 : 4 : 8 respectively. If the
number of students is increased by 40%,
75% and 25% respectively in next year and
the total students after increment is 1200,
what was the total number of students
initially?
A. 900
B. 800
C. 850
D. 750
E. None of these

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TOPIC RATIO & PROPORTION - 2

A certain sum of money was divided among

P, Q and R in a certain way. Q received one
third of what P and R together did and P got
one fourth of what Q and R together did. Find
the ratio of shares of P, Q and R respectively.
A. 5 : 4 : 11
B. 4 : 5 : 11
C. 5 : 11 : 4
D. 11 : 4 : 5
E. None of these

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TOPIC RATIO & PROPORTION - 2

The ratio of the number of male population in

villages A and B is 10:9 and the ratio of the
number of male to female population in A is
4:5. If the number of female population in B
is 1100 more than the number of female
population in A and the difference between
the number of male population in A and B is
200, then find the number of female
population in B?
A.3200
B.3600
C.3400
D.3500
E.3300

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TOPIC RATIO & PROPORTION - 2

In an examination of bank, the number of

passed candidates was five times the
number of failed candidates. If there had
been 40 less candidates appeared and 20
more candidates had failed, then the ratio of
passed to failed candidates becomes 3: 1.
Then find the total number of candidates
failed initially.
A.70
B.60
C.50
D.300
E.None of these

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TOPIC RATIO & PROPORTION - 2

The ratio of the expenditure to savings of

Rajesh is 2:1 and 25% of the income of Nallu
is equal to 40% of his income of Rajesh. If
the expenditure of Nallu is double the
expenditure of Rajesh, then the savings of
Nallu is what percentage of the savings of
Rajesh?
A.70%
B.30%
C.80%
D.50%
E.None of these

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TOPIC RATIO & PROPORTION - 2
If the ratio of the number of balls in box
A and box B is 4:5 and the ratio of the
balls in box C to D is 3: 4. If the number
of balls in box D is 4 less than the
number of balls in B and the average
number of balls in all the boxes together
is 87, then what is the number of balls in
box A?
A.100
B.60
C.40
D.80
E.None of these

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TOPIC RATIO & PROPORTION - 2
The ratio of the number of male to
female in Chennai and Bangalore is 3:2
and 7:3 respectively. If 20% of the male
from Chennai are undergraduate and
60% female from Bangalore are
postgraduate. If the postgraduate males
from Chennai and postgraduate female
from Bangalore is 3300 and the total
number of people in Chennai and
Bangalore is equal, then what is the total
male population in Chennai and Female
population in Bangalore?
A.4500
B.4200
C.4000
D.4800
E.None of these
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TOPIC RATIO & PROPORTION - 2
Ratio of the employees in company A to
B is 6: 5 and the number of employees in
C to A is 13: 10. If the ratio of the
number of male to female employees in
A, B and C is 7: 5, 2: 3 and 7: 6
respectively, then the number of female
employees in all the companies together
is approximately what percent of the
total number of employees in all the
companies together?
A.42%
B.45%
C.48%
D.51%
E.54%

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TOPIC RATIO & PROPORTION - 2
Atul divides some money among his
three children A, B and C. The ratio of
amount received by A and C together to
the amount received by B is 5:2. C
received 150% of the amount received by
A. If the amount received by C is Rs.
1500. Find the sum of amount received
by A and B together.
A.Rs. 1500
B.Rs. 1000
C.Rs. 2000
D.Rs. 2500
E.Rs. 3000

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TOPIC RATIO & PROPORTION - 2
In the income statement of Asha and
Ravenna, the ratio of their income in the
year 2017 was 5 : 4. The ratio of Asha’s
income in the year 2018 to that in 2017
is 3 : 5 and the ratio of Ravenna’s income
in the year 2018 to that in 2017 is 3 : 2. If
Rs. 10242 is the sum of the income of
Asha and Ravenna in the year 2018, then
find the income of Ravenna in the year
2017?
A. Rs. 1024
B. Rs. 1138
C. Rs. 2776
D. Rs. 2420
E. Rs. 4552

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TOPIC RATIO & PROPORTION - 2

Monthly salaries of A and B are in the ratio 8:

9 respectively. Monthly expenditure of A is
140% more than the monthly savings of B.
Monthly expenditure of B is Rs. 2000 more
than the monthly expenditure of A. Find the
difference in the yearly salaries of A and B if
the monthly savings of A and B are in the
ratio 4: 5 respectively.
A. Rs. 4000
B. Rs. 18000
C. Rs. 36000
D. Rs. 45000
E. None of these

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TOPIC RATIO & PROPORTION - 2

A father distributed some chocolates among

his four children and kept some with him.
The eldest three children got chocolates in
the ratio 3 : 11 : 7. The total number of
chocolates with father and youngest child is
three times the total chocolates with the
three eldest children. The ratio of chocolates
with father and that with all the children is 3 :
4. Find the total number of chocolates if the
youngest child has 81 chocolates with him?
A. 273
B. 252
C. 276
D. 303
E. None of these

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