Q1. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is:
a) 20%
b) 16 4/6%
c) 18%
d) 82 2/6%
Correct Option is: a) 20%
Explanation:
CP of 36 books = SP of 30 books
So, SP of 1 book = 36 / 30 = Rs.1.2
CP of 1 book = Rs.1
Profit = 0.2
Profit % = (0.2 / 1) × 100 = 20%
Q2. If 3 toys are sold at the cost price of 4 toys of the same kind, the profit will be:
a) 25%
b) 33 1/3%
c) 66 2/3%
d) 50%
Correct Option is: c) 66 2/3%
Explanation:
CP of 4 toys = SP of 3 toys = Rs.4
SP of 1 toy = 4 / 3
Profit per toy = (4/3 – 1) = 1/3
% Profit = (1/3) × 100 = 33.33% per toy
But over 3 toys, gain is 1 toy ⇒ 1 / 1.5 × 100 = 66.67%
Q3. The ratio of cost price and selling price is 5:4, the loss percent is:
a) 20%
b) 25%
c) 40%
d) 50%
Correct Option is: a) 20%
Explanation:
Loss % = (5 – 4)/5 × 100 = 20%
Q4. If selling price of an article is 8/5 times its cost price, the profit percent on it is:
a) 120%
b) 160%
c) 40%
d) 60%
Correct Option is: d) 60%
Explanation:
SP = 8/5 × CP
Profit = 3/5 CP
% Profit = (3/5) × 100 = 60%
Q5. In selling an article for Rs.76, there is a profit of 52%, if it is sold for Rs.75, the profit percent will be:
a) 44%
b) 46%
c) 48%
d) 50%
Correct Option is: d) 50%
Explanation:
SP = 76, Profit = 52%
⇒ CP = 76 / 1.52 = Rs.50
New SP = Rs.75 ⇒ Profit = 25
% Profit = (25 / 50) × 100 = 50%
Q6. A shopkeeper purchases two items for Rs.520. One sold at 16% gain, the other at 10% loss. No profit or loss overall. What is SP of item sold at loss?
a) Rs.288
b) Rs.232
c) Rs.320
d) Rs.200
Correct Option is: a) Rs.288
Explanation:
Let CP1 = x ⇒ CP2 = 520 – x
SP1 = 1.16x, SP2 = 0.9(520 – x)
Total SP = CP
1.16x + 0.9(520 – x) = 520
x = 200 ⇒ CP2 = 320
SP2 = 0.9 × 320 = Rs.288
Q7. CP : SP = a : b, and b = 200% of a. Find profit %:
a) 75%
b) 125%
c) 100%
d) 200%
Correct Option is: c) 100%
Explanation:
SP = 2a, CP = a
⇒ Profit = a
% Profit = (a / a) × 100 = 100%
Q8. Price of refrigerator and TV set are in the ratio 5:3. Refrigerator costs Rs.5500 more. Find its price:
a) Rs.27500
b) Rs.8250
c) Rs.13750
d) Rs.16500
Correct Option is: c) Rs.13750
Explanation:
Let ratio = 5x : 3x
⇒ 2x = 5500
⇒ x = 2750
Refrigerator = 5x = 13750
Q9. Books bought at Rs.150–300 sold at Rs.250–350. Max profit on 15 books?
a) Cannot be determined
b) Rs.750
c) Rs.4250
d) Rs.3000
Correct Option is: d) Rs.3000
Explanation:
Max profit = Buy at 150,
Sell at 350 ⇒ 200 per book
200 × 15 = Rs.3000
Q10. A person sells two machines at Rs.396 each. One gains 10%, other loses 10%. Overall?
a) No gain no loss
b) 1% loss
c) 1% profit
d) 8% profit
Correct Option is: b) 1% loss
Explanation:
Net % Loss = (10² / 100) = 1%
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