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Ratio-Based Money Distribution Problems

The document contains a series of mathematical problems related to the distribution of money among individuals, focusing on ratios and shares. Each problem presents a different scenario involving amounts of money and requires calculations to determine the shares of individuals based on given conditions. The problems are structured as multiple-choice questions with various options for answers.

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0% found this document useful (0 votes)
58 views8 pages

Ratio-Based Money Distribution Problems

The document contains a series of mathematical problems related to the distribution of money among individuals, focusing on ratios and shares. Each problem presents a different scenario involving amounts of money and requires calculations to determine the shares of individuals based on given conditions. The problems are structured as multiple-choice questions with various options for answers.

Uploaded by

adityasingh9215
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Salary

No. of Question: 25 Time : 10 Min.

1. Rs. 1980 are divided among A, B and C so that half B’s share is th of A’s; C’s share is th of B’s and
of A’s part, one-third of B’s part and one-sixth of D has as much as B and C together. Find A’s
C’s part are equal. Then, B’s part is: share.
1980 :i;s dks A, B vkSj C ds e/; esa ckWVksa ;fn A dk A, B,CvkSj D ds chp 1220 :- dks bl izdkj ckaVk
1
vk/kk fgLlk] B dk ,d&frgkbZ rFkk C dk fgLlk tkrk gS fd B dk fgLlk, A ds fgLls dk gS, C dk
6
cjkcj gks rks] B dk fgLlk crkb;s\ fgLlk B ds fgLls dk gS rFkk D dk fgLlk B o C ds
fgLls dk gSA A dk fgLlk Kkr djksA
(a) Rs. 660 (b) Rs. 360

(c) Rs. 1080 (d) Rs. 540 (a) Rs. 540 (b) Rs. 802

(c) Rs. 100 (d) Rs. 650

2. Rs. 1360 have been divided among A, B, C such


2 1 5. Rs. 1104 is divided between 3 men, 4 women and
that A gets of what B gets and B gets of what
3 4 6 boys, so that the share of a man, a woman and a
C gets. Then, B’s share is boy are in the proportion of 3:2:1. How much does
1360 :i;s dks A, B, C esa bl rjg ckWVk x;k gS fd A each boy get?

dks B dk 2 3 rFkk B dks C dk 1 4 izkIr gksrk gS] rks 1104 :- dks 3 vknfe;ksa 4 vkSjrks o 6 yMdks esa bl
izdkj ckaVk tkrk gS fd ,d vkneh ,d vkSjr o ,d
B dk fgLlk Kkr dhft,\
cPps ds fgLls dk vuqikr 3:2:1 gS rks izR;sd yMds dks
(a) Rs. 120 (b) Rs. 160 fdruk izkIr gksxk ?
(c) Rs. 240 (d) Rs. 320 (a) Rs. 48 (b) Rs. 64

(c) Rs. 96 (d) Cannot be determined


3. Rs. 960 were distributed among A, B, C and D in
such a way that C and D together gets half of what
6. Rs. 3650 is divided among 4 engineers, 3 MBAs
A and B together gets and C gets one-third amount
and 5 CAs such that 3 CAs get as much as 2 MBAs
of B. Also D gets times as much as C. what is the
and 3 Engineers as much as 2 CAs. Find the share
amount of A? of an MBA.
960 :i;s dks A, B, C vkSj D ds e/; bl izdkj ckaVk 4 vfHk;arkvksa 3 MBA o 5 CA ds chp 3650 :- dks bl
tkrk gS fd C vkSj D dk fgLlk A vkSj B ds fgLls dk çdkj ckaVk tkrk gS fd 3 CA dks 2 MBA ds cjkcj rFkk
1 3 vfHk;arkvksa dks 2 CA ds cjkcj feyrk gSA ,d MBA
vk/kk gS vkSj C, B dh jkf'k izkIr djrk gS lkFk gh D
3 dk fgLlk Kkr djksA
5
dks C dk xq.kk feyrk gS rks A dh jkf'k D;k gS\ (a)300 (b) 450
3
(c)475 (d) None of these
(a) Rs. 240 (b) Rs. 280

(c) Rs. 320 (d) Data insufficient


7. Rs. 2250 is divided among three friends A, B and C
4. Rs. 1220 is divided among A, B, C and D such that
in such a way that 1/6th of A's share, 1/4th of B’s (c) Rs. 800 (d) Rs. 1200
share and 2/5th of C's share are equal. Find A's
share.
11. The income of James and Bond is in the ratio 4:5.
2250 :- rhu nksLr A, B rFkk C esa bl izdkj ckaVs tkrs Bond spend Rs.3000 and is able to save an amount
gS fd A dk 1/6 Hkkx B dk 1/4 Hkkx] rFkk C dk 2/5 Hkkx equal to 40% of his income. What is the income of
cjkcj gS rks A dk fgLlk Kkr djks James?
(a) Rs. 720 (b) Rs. 1080 tsEl o ckW.M dh vk; dk vuqikr 4 : 5 gSA ckW.M 3000
(c) Rs. 450 (d) Rs. 1240 :- [kpZ djrk gSA rFkk viuh vk; dk cpk ikrk
gSA tsEl dh vk; fdruh gS \
(a) Rs.4000 (b) Rs.3000
8. Divide Rs. 500 among A,B,C and D so that A and B
together get thrice as much as C and D together, B (c) Rs.4500 (d) Rs.5000
gets four times of what C gets and C gets 1.5 times
as much as D. Now the value of what B gets is
12. X men and Y women work together for n days. The
500 :- A, B, C rFkk D esa bl izdkj ckaVs tkrs gS dh A wages per day of a man and woman is in the ratio
rFkk B dks C rFkk D dk rhu xquk feyrk gS vkSj B dks C 5: 4.If the total wages of all the men for n days to
dk 4 xquk rFkk C dks D dk 1.5 xquk feyrk gS rks B dks the ratio of the total wages of all the women for n
fdruk izkIr gqvk days is 40 : 32, then find the ratio of X and Y.
(a) 300 (b) 75 x iq:"k vkSj y efgyk;sa feydj fdlh dke dks n fnu
(c) 125 (d) 150 dke djrs gSaA ,d vkneh o ,d vkSjr dh çfrfnu
etnwjh dk vuqikr 5 : 4 gSA ;fn lHkh vknfe;ksa dh n
fnu dh etnwjh dk efgykvksa dh fnu dh dqy
9. Divide Rs. 1870 into three parts in such a way that etnwjh ds lkFk vuqikr 40 : 32 gS] rc dk
half of the first part, one-third of the second part vuqikr Kkr djksA
and one-sixth of the third part are equal.
(a) 25 : 16 (b) 5 : 4
1870 :- dks rhu Hkkxksa esa bl rjg foHkkftr djks dh
igys dk 1/2 Hkkx] nwljs dk 1/3 Hkkx rFkk rhljs dk (c) 1 : 1 (d) None of these

1/6 Hkkx cjkcj gS

(a) 241, 343, 245 13. The monthly earnings of James and Bond are in
(b) 400, 800, 670 the ratio of 2: 1. Their expenditure and savings are

(c) 470, 640, 1160 in the ratio of 5 : 3 and 4 : 1 respectively , in the


given order. If the total money savings of James
(d) None of these
and Bond together is Rs. 5,000, what is the
monthly earning of each?
10. Rs. 3000 is distributed among A,B and C such that
A gets 2/3rd of what B and C together get and C tsEl vkSj ckW.M dh ekfld vk;ksa dk vuqikr 2 % 1 gSA
gets 1/2 of what A and B together get. Find C's
muds [kpZ rFkk cpr dk vuqikr Øe’k% 5 % 3 rFkk 4%1
share.
3000 : dks A, B rFkk C esa bl izdkj ckaVk tkrk gS A, B gSA ;fn tsEl vkSj ckW.M dh ,d lkFk dqy cpr 5]000
rFkk C dk 2/3 Hkkx izkIr djrk gS rFkk C, A rFkk B dk #i;s gS rks izR;sd dh ekfld vk; Kkr djksA
1/2 Hkkx izkIr djrk gS rks C dk fgLlk Kkr djks
(a) Rs. 12,000 and Rs. 6,000
(a) Rs. 750 (b) Rs. 1000
(b) Rs. 15,000 and Rs. 4,500 ,sfyl rFkk ekWyh dh vk; dk vuqikr 1 % 2 rFkk muds
[kpZ dk vuqikr 1 % 5 gS rks dkSu vf/kd cpr djrk gS
(c) Rs. 14,000 and Rs. 7,000
(a) Alice (b) Mouly
(d) Rs. 13,000 and Rs. 8,000
(c) Cannot be determined

(d) None of these


14. The ratio of incomes of A and B is 3 : 5 and the
ratio of their savings is 5 : 3. Whose saving is
more? 18. Monthly incomes of two persons are in the ratio5 :
4 and their monthly expenditure are in the ratio. 9
Ao B dh vk; dk vuqikr 3 % 5 gS rFkk mudh cprks
dk vuqikr 5 % 3 gS rks fdldh cpr vf/kd gSA : 7. If each person saves Rs. 500 per month , then
what are their monthly incomes ?
(a) A's (b) B's
nks O;fDr;ks dh ekfld vk; dk vuqikr 5 % 4 gS rFkk
(c) They have equal savings
muds ekfld [kpZ dk vuqikr 9 % 7 gSA ;fn os izR;sd
(d) Cannot be determined 500 #i;s izfr ekg cpkrs gS rks mudh ekfld vk; gSA
(a) Rs. 8000 and Rs. 10,000

(b) Rs. 3750 and Rs. 3000


15. The ratio of incomes of James and Bond is 3 : 5
and the ratio of their expenditures is 5 : 1 . Who (c) Rs. 4500 and Rs. 3500

saves more ? (d) Rs.5000 and Rs. 4000

tsEl o ckW.M dh vk;ks dk vuqikr 3 % 5 gS rFkk muds


[kpZ dk vuqikr 5 % 1 gS rks fdldh cpr vf/kd gSA
19. The incomes of A and B are in the ratio of 3 : 2 and
(a) James (b) Bond
their expenditures are in the ratio 5 :3 . If each
(c) Cannot be determined
saves Rs. 1000, their incomes are _____
(d) None of these
Ao B dh vk; dk vuqikr 3 % 2 rFkk muds [kpZ dk
vuqikr 5 % 3 gSA ;fn izR;sd 1000 #i;s dh cpr
djrk gS rks mudh vk; gksxhA
16. The ratio of incomes of Alice and Mouly is 3 : 5 (a) Rs. 6000, 4000
and ratio of their expenditures is 2 : 3. Who saves (b) Rs. 12,000, 8000
more?
(c) Rs. 15,000, 10,000
,sfyl vkSj ekWyh dh vk; dk vuqikr 3 % 5 rFkk muds
[kpZ dk vuqikr 2 % 3 gS rks dkSu vf/kd cpr djrk (d) None of these
gS\
(a) Alice (b) Mouly
20. An oculist charges $40.00 for an eye examination,
(c) Cannot be determined
Frame, and glass lenses but $ 52.00 for an eye
(d) None of these examination, Frame, and plastic lenses. If the
plastic lenses cost four times as much as the glass
17. The ratio of incomes of Alice and Mouly is 1 : 2
lenses, how much do the glass lenses cost?
and ratio of their expenditures is 1 : 5. Who saves
more?
,d us= jksx fo’ks"kK us= tkap] Ýse rFkk Xykl ysl
a ks ds 24. Ratio between the monthly incomes of A and B is
fy;s $40-000 #i;s olwyrk gS ysfdu us= tkap] Ýse 9:8 and the ratio between their expenditures is 8 :
rFkk IykfLVd yalks ds fy;s $ 52-00 #i;s ysrk gSA ;fn 7. If they save Rs. 500 each, find A’s monthly
IykfLVd ysla dh dher Xykl ysal ls pkj xquk gS rks
income.
Xykl ysla dh dher D;k gSA
(a) $3 (b) $4 A vkSj B dhvk; dk vuqikr 9%8 gS vkSj muds [kpZ dk
vuqikr 8%7 gS ;fn izR;sd dh cpr 500 gS rks A dh
(c) $5 (d) $6 vk; gS\
(a) Rs. 3500 (b) Rs. 4000

21. A man spends a part of his monthly income and (c) Rs. 4500 (d) Rs. 5000
saves a part of it. The ratio of his expenditure to
his saving is 26:3. if his monthly income is 7250,
what is the amount of his monthly savings? 25. The ratio of weekly income of A and B is 9 : 7 and
the ratio of their expenditures is 4 : 3. if each saves
,d O;fDr viuh ekfld vk; dk dqN Hkkx [kpZ djrk 200 per week, then the sum of their weekly
gS vkSj dqN Hkkx cpr djrk gS mlds [kpZ vkSj cpr income is
dk vuqikr 26%3 gS ;fn mldh ekfld vk; 7250 gS rks
A vkSj B dh lkIrkfgd vk; dk vuqikr 9 % 7 gS rFkk
cpr gksxh\
muds [kpZ dk vuqikr 4%3 gS ;fn izR;sd dh cpr 200
(a)Rs. 350 (b) Rs. 290 gS rks nksuks dh lkIrkfgd vk; dk ;ksx gksxk\
(c)Rs. 750 (d) Rs. 780 (a) Rs. 3600 (b) Rs. 3200

(c) Rs. 4800 (d) Rs. 5600


22. The monthly salaries of A, B and C are in the ratio
2:3:5. If C’s monthly salary is Rs. 12,000 more than Answer Key
that of A, then B’s annual salary is 1 d 2 c 3 b 4 a 5 a
6 b 7 b 8 a 9 d 10 b
A, B vkSj c dh
ekfld vk; dk vuqikr 2%3%5 gS ;fn C 11 a 12 c 13 c 14 a 15 b
dh ekfld vk; A ls 12000 vf/kd gS rks B dh okf"kZd 16 b 17 a 18 d 19 a 20 b
21 c 22 b 23 a 24 c 25 b
vk; gS\
(a) Rs. 120000 (b) Rs. 144000

(c) Rs. 180000 (d) Rs. 240000


Solutions
1. (d)

23. The ratio of the incomes of A and B as well as of B According to question,


and C is 3:2. If one third of A’s income exceeds one 1 1 1
A = B× = c×
fourth of C’s income by Rs. 1000, what is B’s 2 3 6
income in Rs.?
A 2 B 3 1
A vkSj B ds lkFk&lkFk B vkSj C dh vk; dk vuqikr Hkh  , and  
B 3 C 6 2
3%2 gS ;fn A dh 1@3 vk; C 1@4 vk; ls 1000
So, A : B : C = 2 : 3 : 6
T;knk gS rks B dh vk; gS\
3
(a) Rs. 3000 (b) Rs. 2500 B’s part is = ×1980 = Rs. 540
11
(c) Rs. 3500 (d) Rs. 4000

2. (c)
According to question Now,(3 x)+ (4 x)+ (6 x)=1104

2 A 2 ⟹ 23x =1104 ⟹ x =48


A= ×B ⇒ 
3 B 3
∴ Each boy gets Rs. 48
and

1 B 1 6. (b)
B= ×C ⇒ 
4 C 4
4E + 3M + 5C = 3650
So, A : B : C = 2 : 3 : 12
Also, 3C= 2M ,that is, M = 1. 5C
3
B’s part = ×1360 = Rs. 240 And 3E = 2C that is, E =0. 66C
17
Thus, 4 0. 66C + 3 1. 5C +5C = 3650

C = 3650/12. 166
3. (b)
That is, C = 300
AB 2

CD 1 Hence, M =1. 5 C= 450

B:C

3:1 7. (b)

C:D According to the question

3:5 A B 2C
 
6 4 5
B:C:D
A 6 3
9:3:5  
B 4 2
Value of A = 2 (3 + 5) - 9 = 7
B 8

960 C 5
Amount of A = × 7 = Rs. 280
24
Ratio of A, B and C share = 12 : 8 : 5

12
4. (a) share of A = × 2250 = Rs.1080
25

If A’s share is 1,B ‘s share =

8. (a)
C’s share = ;
AB 3
 ... (1)
D’s share = ( ) CD 1

∴ A: B: C: D = 1: = 54:30:21:17 B 4 C 3
 
C 1 D 2
∴ A‘s share = Rs. 540 B:C:D

Ratio → 12 : 3 : 2

5. (a) Value of B, C and D put in eq. (i)

Let each boy gets x, so the women gets 2x and a A  12 3



man gets 3x. 5 1
A=3 40% of his income. Therefore,

So, A: B: C : D 5x – 3000 = 2x

3: 12: 3 : 2 3x = 3000 ⟹ x =1000

12 Income of James = Rs.4000


Share of B = × 500 = 300 Rs.
20

12. (c)
9. (d) Given that:
Let three parts are A, B and C
According to the question ⟹
A B C
  1:1
2 3 6
A 2 A 3 1
  
B 3 C 6 2
A: B: C 13. (c)
2: 3: 6 James Bond
2
Share of A = × 1870 = 340
11 Expenditure: 5 3
3
Share of B = × 1870 = 510 Savings: 4 1
11
6 Let their total monthly savings be Rs. 4y and Rs. y
Share of C= × 1870 = 1020
11 respectively.

10. (b) 4y + y = 5, 000


2
A= × (B + C) y = Rs. 1,000
3
A 2 Monthly earning = Expenditure + Savings
⇒  ... (i)
BC 3
Let their monthly expenditure be Rs. 5x and Rs. 3x
1
C = (A + B) respectively.
2
C 1 Monthly earning of James = 5x + 4,000
 ... (ii)
AB 2
eq. (i) × 3 and eq. (ii) × 5 then we get Monthly earning of Bond = 3x + 1, 000
A: B: C Total ( )
⇒( = ⇒ 6x + 2,000 = 5x + 4,000
6: 4 5 = 15 )

↓ × 200 ↓ × 200
x = 2,000
1000 3000
Share of C = Rs.1000 Thus, the monthly earning of James and Bond be
Rs, 14,000 and Rs.7,000 respectively.
11. (a)
Alternate method :
Let the salaries of James and Bond be 4x and 5x,
Earning ratio = 2 : 1 or 14 : 7
respectively. Bond spends Rs.3000 and is able to
save Expenditure ratio = 5 : 3 or 10 : 6
So saving ratio will be 14 - 10 : 7 - 6 ⇒ 4 : 1 18. (d)

Total savings is Rs. 5,000 Let income and expenditure of the first person be
5x and 9y respectively.
Savings of James and Bond is Rs.4,000, Rs. 1,000
respectively Then income and expenditure of the second
person are 4x and 7y respectively.
thus, income (14 : 7) will be Rs. 14,000 Rs. 7,000.
5x - 9y = 4x - 7y = 500

x = 2y.
14. (a)
Therefore, y = 500 ; and x = 1000
Ratio of savings of A and B is 5 : 3 so it is obvious
that A's savings is 66 % more than that of B. Incomes are Rs. 5000 and Rs . 4000 respectively.

OR,

By checking the options you will find that only for


15. (b)
choice (d) is the ratio of incomes 5 : 4.
Here Bond earns more but spends less so
Alternate method :
definitely his savings will be more that of James.
In the given options , the options (a)and (c)are not
in the ratio 5 : 4. ? Now we can subtract Rs. 500
16. (b)
from incomes and check the ratio of expenditures
The ratio of incomes of Alice and Mouly is 3 : 5. in choice (b). Ratio of expenditures
Ratio of their expenditures is 2 : 3 i.e. 3 : 4.5. Had
= (3750 - 500) : (3000 - 500)
the ratio of expenditures been 3 : 5 Ratio of
= 3250 : 2500
savings also would have been 3 : 5 but since ratio
of their expenditures is 3 : 4.5 only so obviously = 13 : 10
savings of Mouly will be something more than rd Hence, the solution is (d).
of savings of Alice and thus Mouly will save more.
Please note that we need not calculate the ratio of
expenditures in (d).

17. (a)

The ratio of incomes of Alice and Mouly is 1 : 2. 19. (a)


Ratio of their expenditures is 1 : 5 Had the ratio of
Let the incomes are 3x and 2x and the
expenditures been 1 : 2 ,their savings would have
expenditures are 5y and 3y.
been same, but since ratio of their expenditures is
1 : 5. 5 only so obviously savings of Alice will be So, 3x - 5y = 1000 and 2x - 3y = 1000

more than savings of Mouly and thus Alice will After solving above 2 equations, y = 1000, x =
save more. 2000. Therefore, incomes are 6000, 4000
20. (b) One third A’s income exceeds one fourth of c’s
income
Plastic lenses are 4 times costlier than glass
lenses. 1 1
9× =3 and 4× =1
3 4
∴ If cost of glass lenses = x, cost of plastic lenses
(3-1) unit = 1000 ⇒ 1 unit = 500
= 4x. So, B’s income = (500×6) = Rs. 3000
Cost of eye examination and James = y

∴ y +x = 40 and y + 4x = 52 24. (c)

⇒ 3x = 12 ⇒ x = $4 Given,

Income Ratio of A and B = 9 :8

21. (c) Ratio between their expenditure = 8 : 7

Given, So,

Ratio of man expenditure to his saving is 26:3 Ratio between their Savings = 1 : 1

Monthly income = Rs. 7250 Now,

Now, 1 unit = 500

7250 A’s monthly income = (9×500) = Rs. 4500


Monthly savings = ×3 = Rs. 750
29

25. (b)
22. (b) The ratio of weekly income of A and B = 9:7
Given, Ratio of their expenditure = 4:3
The monthly salaries Ratio of A, B and C = 2:3:5 According to question
Now, 9x  200 4

According to question 7x  200 3

(2-5) unit = 12000 27x-600 = 28x-800

1 unit = 4000 x = 200

B’s annual salary = 3×4000×12 = Rs. 144000 Sum of their weekly income

= (9×200)+(7×200) = Rs. 3200

23. (a)

Given,

A 3 B 3
 and 
B 2 C 2

So, A : B : C = 9 : 6 : 4

Now,

According to question

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