Q1: The quantity of rice sold by two hawkers is in the ratio 3:5.

If the first hawker sold 60 kilograms of

Q2: At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 13. When 12
more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 16. How
many cooks does the restaurant have?
A. 4
B. 9
C. 6
D. 12

Q3: At the start of the week a bookshop had science and art books in the ratio 2 : 5. By the end of the
week, 20% of each type of books were sold and 2240 books of both types were unsold. How many science
books were there at the start of the week?
A. 640
B. 800
C. 1600
D. 2000

Q4: At the start of the month a shop had 32-inches and 40-inches television sets in the ratio 4:5. By the
end of the month, 200 32-inches and 500 40-inches televisions were sold and the ratio of 32-inches to
40-inches television sets becames 1:1. How many television sets of each type were there at the start of the
month
A. 32-inches: 1500 and 40-inches:: 1200
B. 32-inches: 1200 and 40-inches:: 1100
C. 32-inches: 2500 and 40-inches:: 3000
D. 32-inches: 1200 and 40-inches:: 1500

Q5: A person A is two years older than another person B. The person B is twice as old as a third person
C. The sum of the total ages of the three people is 27 years, then how old is B?
A. 10
B. 15
C. 16
D. 12

Q6: An article is purchased for $450 and sold for $500. Find the gain percent?
A. 5%
B. 10%
C. 15%
D. 11.1%

Q7: A man bought some toys at the rate of 10 toys for $40 and sold them at 8 toys for $36. Find his gain
or loss percent?
A. gain 12.5%
B. loss 12.5%
C. gain 40%
D. loss 20%

Q8: The cost price of 10 pens is the same as the selling price of n pens. If there is a loss of 50%,
approximately what is the value of n?
A. 16
B. 17
C. 19
D. 20
Q9: 25% of a number is 36. Find the number:
A. 144
B. 145
C. 165
D. 154

Q10: Ron has a cycle worth $ 1800 and he wants to sell it at a profit of $ 220. What should cycles selling
price be?
A. 2500
B. 2021
C. 2002
D. 2020

Q11: A dishonest merchant sells his groceries using weights 15% less than the true weights and makes a
profit of 20%.Find his total gain percentage?
A. 47.17%
B. 41.17%
C. 14.7%
D. 71.4%

Q12: Jenna borrowed $5,000 for 3 years and had to pay $1,350 simple interest at the end of that time.
What rate of interest did she pay?
A. 6%
B. 7%
C. 8%
D. 9%

Q13: Simon borrowed $1,000 for 2 years at 5% compound interest rate. How much did he owe after 2
years?
A.$1,150
B.$1,155
C.$1,157.63
D.$1,102.5

Q14: Sarina borrowed $5,800 at a simple interest rate of 7½% per year.After a certain number of years
she had paid $1,305 in interest altogether. How many years was that?
A. 3 years
B. 3½ years
C. 4 years
D. 5 years

Q15: Find the interest on Rs.500 for 2 years if the interest is compounded quaterly at a rate of 5% per
annum.
A. Rs.51,25
B. Rs.52.24
C. Rs.53.25
D. Rs 50

Q16: A sum of $.25000 becomes $.27,250 at the end of 3 years when calculated at simple interest. Find the
rate of interest?
A. 3.2%
B. 2.3%
C. 3%
D. 5%

Q17: Jamie goes on holiday to Florida.The exchange rate is £1 = 1.70 dollars. He changes £900 into
dollars. How many dollars should he get?
 A. $ 1,530
B. $ 1,305
C. $ 1,350
D. $ 1,053

Q18: Khan’s father says to Khan, “Son! I was as old as you are at the present at the time of your birth”. If
Khan’s father’s age is 38 years now, then the son’s age five years back was:
A. 19 years
B. 14 years
C. 13 years
D. 38 years

Q19: A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago the age of
the father was five times the age of the son. Six years from now the son’s age will be:
A. 23 years
B. 19 years
C. 20 years
D. 22 years

Q20: The cost of manufacture of a tape recorder is $ 1,500. The manufacturer fixes the marked price
20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. Find the
discount amount?
A. 1,620
B. $162
C. $1,800
D. $180

Q21: The marked price of an article is 50% above cost price. When marked price is increased by 20%
and selling price is increased by 20%, the profit doubles. If original marked price is $ 300, then original
selling price is:
A. $ 200
B. $ 250
C. $ 240
D. $ 275

Q22: A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he
gains $ 56 on one item, his advertised price of the item, (in $) is:
A. $ 820
B. $ 780
C. $ 790
D. $ 800

Q23: The cost price of an article is $ 800. After allowing a discount of 10%, a gain of 12.5% was made.
Then the marked price of the article is:
A. $ 1,000
B. $ 1,100
C. $ 1,200
D. $ 1,300

Q24: A sum of Rs. 25000 becomes Rs. 27250 at the end of 3 years when calculated at simple interest. Find
the rate of interest.
A. 2%
B. 2.5 %
C. 3 %
D. 3.5 %

Q25: Find the compound interest on Rs. 3000 at 5% for 2 years, compounded annually.
A. Rs. 307.5
 B. Rs. 3307.5
C. Rs. 3306.5
D. Rs. 7033

Q26: The difference between SI and CI compounded annually on a certain sum of money for 2 years at
8% per annum is Rs. 12.80. Find the principal.
A. Rs. 12.80
B. Rs. 2,000
C. Rs. 1,280
D. Rs. 2,810

Q27: The ratio of the age of a person A and another person B is 1:3. If the person A is 6 years younger
than the person B, then what are their ages?
A.9 and 3 years respectively
B.2.5 and 7.5 years respectively
C.three and nine years respectively
​ D.Seven and a half and two years respectively

Q28: Khan and Shoaib decide to take a ratio of their ages. It comes out to be 5:4 respectively. Three years
from now, the ratio of their ages will be 11 : 9 respectively. What is Shoaib’s present age in years?
A. 23 years
B. 27 years
C. 26 years
D. 24 years

Q29: Today the ratio of the ages of Desai and Shinde is 3:4. Six years hence, Desai’s age will be 24 years.
How old is Shinde today?
A. 20 years
B. 15 years
C. 12 years
D. 24 years

Q30: Ten years ago, the age of a person’s mother was three times the age of her son. Ten years hence, the
mother’s age will be two times the age of her son. The ratio of their present ages will be:
A. 10:19
B 9: 5
C 7: 4
D 7: 3

Q31: The difference in the age of two people is 20 years. If 5 years ago, the elder one of the two was 5
times as old as the younger one, then their present ages are equal to:
A. 20 and 30 years respectively
B. 30 and 10 years respectively
C.15 and 35 years respectively
D. 32 and 22 years respectively

Q32: Khan’s father says to Khan, “Son! I was as old as you are at the present at the time of your birth”. If
Khan’s father’s age is 38 years now, then the son’s age now is:
A. 19 years
B 14 years
D. 38 years
C. 13 years

Q33: Jack bought a pairs of shirt for $ 125 and sold them for $ 108. Find his loss or gain percent.
A. 25%
B. 13,6%
C. 16.3%
D. 15%
Q34: Mr. Smith bought a book for $ 85 and sold it for $ 115. Find his profit or loss percent.
A. 35,29%
B. 32,59%
C. 35%
D. 23%

Q35: Ron has a cycle worth $ 1800 and he wants to sell it at a profit of $ 220. What should cycles selling
price be?
A. 2500
B. 2021
C. $ 2002
D. $ 2020

Q36: Maria sold a bicycle for $ 24900 at a profit of $ 600. Find the price at which she bought it. *
A. $ 23400
B. $ 24300
C. $ 32400
D. $43200

Q37: A trader marks his good at 40% above the cost price and allows a discount of 25%. What is his gain
percent?
A. 10%
B. 15%
C. 5%
D. 3%

Q38: A dealer purchased a washing machine for $ 8000. He allows a discount of 20% on its marked price
and still gains 10%. Find the marked price of the machine.
A. $ 11000
B. $ 1100
C. $ 10000
D. $ 9575

Q39: Find the single discount equivalent to two successive discounts of 20% and 10%.
A. 20%
B. 8%
C. 28%
D. 72%

Q40: Ryan buys a clock for $ 75 and sells it for $ 125. His gain percent is…
A. 25 %
B.66¹/₂ %
C. 66.67 %
D. 37¹/₂ %

Q41: At what percentage above the cost price must an article be marked so as to gain 33% after allowing
a customer a discount of 5%?
A. 35%
B. 38%
C. 40%
D. 42%

Q42: The age of a man is 24 years more than his son. In two years, the father’s age will be twice that of his
son. Then the present age of his son is:
A. 18 years
B. 21 years
C. 22 years
 D. 24 years

Q43: Yasir is fifteen years elder than Mujtaba. Five years ago, Yasir was three times as old as Mujtaba.
Then Yasir’s present age will be:
A. 27,5 years
​ B. 30 years
C. 31 years
D. 32 years

Q44: A tradesman sold an article at a loss of 20%. Had he sold it for $ 100 more, he should have gained
5%. The cost price of the article was ……………
A. $360
B. $400
C. $325
D. $450

Q45: Ron bought an almirah for $ 6250 and spent $ 375 on its repairs. Then, he sold it for $ 6890. Find
his gain or loss per cent.
A. neither gain nor loss
B. 1 % gain
C. 4 % gain
​ D. 5 % gain

Q46: A person A is two years older than another person B. The person B is three as old as a third person
C. The sum of the total ages of the three people is 23 years, then how old is A?
A. 10 years
B. 12 years
C. 25 years
D. 11 years

Q47: By selling a Jeans for $ 432, John loses 4%. For how much should John sell it to gain 6%?
A. $ 470
B. $744
C. $450
D. $477

Q48: On selling of fan for $ 810, Sam gains 8%. For how much did he purchase it?
A. $ 752
B. $ 750
C. $ 759
D. $ 751

Q49: On selling a bat for $ 371, a man gains 6%. For how much should he sell it to gain 8%?
C. $ 400
B. $ 378
D. $ 387
A. $ 350

Q50: .When a sum of money was equally distributed among 49 children, each child received Rs. 20. If the
same amount is equally distributed among children, such that each child gets Rs. 3.5, find the number of
children.
A. 280
B. 246
C. 245
D. 240
Q1:​ B
Q2:​ D
Q3:​ B
Q4:​ D
Q5:​ A
Q6:​ D
gain% = {(S.P - C.P)/C.P}.100 = 11.1%
Q7:​ A
Q8:​ D
The price of each pen be 1​
C.P of n pens = n​
S.P of n pens = 10​
loss% = ((C.P - S.P)/C.P).100​
0.5 = ((n-10)/n).100​
n= 20​
Q9:​ A
Q10:​ D
Q11:​ B
Let us consider 1 kg of grocery bag. Its actual weight is 85% of 1000 gm = 850 gm.
Let the cost price of each gram be Re. 1. Then the CP of each bag = Rs. 850.
SP of 1 kg of bag = 120% of the true CP
Therefore, SP = 120/100 * 1000 = Rs. 1200
Gain = 1200 – 850 = 350
Hence Gain % = 350/850 * 100 = 41.17%
Q12:​ D
Use I = Prt
I = Interest = $1,350
P = Principal = $5,000
r = interest rate
t = time = 3 years
Solve: r = 0.09 = 9%
Q13:​ D
A= P × (1 + r)^n.t
P = $1,000, r = 5% = 0.05 , n = 1 and t=2
A = $1,000 × (1 + 0.05)^2 = $1,000 × (1.05)^2 = $1,102.5
Q14:​ A
Q15:​ B
P = Rs.500
r = 5% = 0.05
t=2
n=4
A = P.( 1 + r/n)^n.t
A = 500.( 1 + 0.05/4)^(4x2)
A = 552.24
I= A - P = 552.24 - 500 = 52.24
Q16:​ C
A = P.( 1 + r.t)
27,250 = 25,000.(1 + r.3)
r = 3%
Q17:​ A
Q18:​ B
Q19:​ C
Q20:​ D
Q21:​ B
Q22:​ D
Q23:​ A
Q24:​ C
Simple interest = 27250 – 25000 = 2250
Time = 3 years.
I = P*t*r / 100 → r = I * 100 /( P*T)
r = 2250 * 100 / 25000 * 3 → r = 3%.
Q25:​ A
Amount with CI = 3000 (1+ 5/100)^2 = Rs. 3307.5
Therefore, CI = 3307.5 – 3000 = Rs. 307.5
Q26:​ B
Let the principal amount be x.
SI = x * 2 * 8 / 100 = 4x/25
CI = x[1+ 8/100]^2 – x → 104x/625
Therefore, 104x/625 – 4x/25 = 12.80
Solving which gives x, Principal = Rs. 2000.
Q27:​ C
Let the age of A is x.
Age of B is 3x.
If A is 6 years younger than B, then, by the condition: 3x - x = 6 x = 3
So age of A is 3 years.
Age of B is 3 x 2.5 = 9 years.
Q28:​ D
Q29:​ D
Q30:​ D
Q31:​ B
Q32:​ A
Q33:​ B
Cost Price (CP) = $ 125, Selling Price (SP) = $ 108
Since SP < CP, Therefore, Jack suffers a loss.
Loss = Cost Price (CP) – Selling Price (SP) = 125 – 108 = $ 17
Therefore, loss % = (Loss/CP) × 100 = (17/125) × 100 = 13.6 %
Q34:​ A
Cost Price (CP) = $ 85; Selling Price (SP) = $ 115 Since SP > CP, Therefore, Mr. Smith makes a profit.
Profit = Selling Price (SP) – Cost Price (CP) = 115 – 85 = $ 30
Therefore, profit % = (Profit/Cost Price) × 100 = (30/85) x 100 = 35.29 %
Q35:​ D
Q36:​ B
Q37:​ C
Let cp = 100
Marked price = 100+40
MP=140 25%
discount on MP
SP =75% of (140)
SP = 75/100 * 140 SP = 105
Gain = 105–100
Gain % = 5%
Q38:​ A
CP = $ 8000
SP = $ 8000 + 10% of 8000 = 8000 + 800 = $8800
now, his discount on MP is 20 %
Let the MP be x
MP - discount = SP
⇒ x - 20% of x = $ 8800
⇒ 0.8x = 8800
⇒ x = $ 11000 so MP is $ 11000
Q39:​ C
Let A = First Discount
B =Second Discount.
Equivalent Discount = (A + B) - (AB/100)
Equivalent Discount = (20 + 10) - (20*10)/100
Equivalent Discount = 30 - 2 = 28%.
Q40:​ C
Q41:​ C
Let CP = 100
MP = 100x
Discount = 5% of MP = 5x
SP = MP - Disc = 95x
Profit = SP - CP = 33% of CP
=> 95x - 100 = 33
=> x = 133/95
=> MP = 13300/95 = 140
=> CP must be marked up by 40%
Q42:​ C
Q43:​ A
Q44:​ B
Let the C.P of the article is 100x.
At 20% loss S.P would be 80x.
After increasing selling price by 100, S.P=80x+100
Gain is 5%, So S.P=105x. 80x+100=105x.
x=4.
C.P=100x=100*4=400
Q45:​ C
CP of the almirah = $ 6250,
Overheads = $ 375.
Total cost price = $ (6250 + 375) = $ 6625.
Selling price = $ 6890.
Since, (SP) > (CP), Ron gains.
Gain% = $ (6890 - 6625) = $ 265.
Gain% = [(gain / total CP) × 100] % = [(265 / 6625) × 100] % = 4 %
Q46:​ D
Q47:​ D
SP of the shirt = $ 432.
Loss = 4%
Therefore, CP of the shirt = {100/(100 - loss %) × SP} = $ {100 /(100 - 4) × 432} = $ {(100/96) × 432} = $ 450
Now, CP = $ 450, desired gain % = 6%.
Desired SP = [{(100 + gain %)/100} × CP] = $ [{(100 + 6)/100} × 450] = $ {(106/100) × 450} = $ 477.
Q48:​ B
sp=$810
gain=8%
cost price=cp=?
cp=(sp×100)/(100+g) =(810×100)/(100+8) =(810×100)/108
after cancellation =$750 cost price of the fan =$750
Q49:​ B
SP= 371
CP= 100/100+gain% * sp
100/106 * 371
CP = 350
desired gain = 8%
SP = 100+gain%/100 * cp =108/100 * 350 => SP should be 378
Q50:​ A
Let N is amount
N/49 = 20 -> N = Rs.980
Let x is the number of children
N/ x = 3.5
980/ x = 3.5
x = 280