How is IB in JIMS Rohini

QA # 02 (test)

QA TEST # 2

Topics: PERCENTAGES, PROFIT, LOSS & DISCOUNT

Number of questions = 15 Time Limit = 25 minutes

1. Jinni bought some cordless phones. He sold half the phones at 5% profit and the remaining at Rs.5400
each. If he lost 2.5% on the whole, what was the cost price of a cordless phone?
A] Rs.5800 B] Rs.7200 C] Rs.6000 D] Rs.6400

2. A generous shopkeeper plans to give a discount, on a particular item, equal to the profit he gets on that
article. If he gets a 40% profit, what approximately is the percentage of discount he gives on the article?
A] 25% B] 40% C] 22.22% D] 26.7%

3. If I lose 15% of my stock of goods due to bad weather, what profit percentage should I earn on the
remaining stock to earn an overall profit of 10%?
A] 29.4% B] 27.7% C] 25% D] 22.6%

4. A product is sold for Rs.2520, resulting in a profit of 50%. If the shopkeeper wants to sell the product at a
profit of 30% even after giving a discount of 20%, find the price at which the shopkeeper should mark the
product.
A] Rs.3000 B] Rs.2480 C] Rs.2650 D] Rs.2730

5. If 25% of a = 30% of b = 12.5% ​​of c = 20% of d, which of them is the smallest?


A] a B] b C] c D] d

6. On a particular day, a vendor sells 60 percent of apples and throws away 15 percent of the remaining
apples. Next day he sells 50 percent of the apples remaining from the first day and throws away the rest.
What percent of the apples does the vendor throw away?
A] 20% B] 23% C] 25% D] 30%

7. In a village, 18% of the population are children and 10% of children are female. If the number of female
children is 90, what is the population?
A] 500 B] 5,000 C] 600 D] 6,000

8. If two numbers are respectively 19% and 70% more than a third number, what percentage is the first of the
second?
A] 70% B] 30% C] 143% D] 43%

9. A fruit has 99% water (by weight). Some of the water evaporates leaving the fruit with 98% water (by
weight). What percentage of water gets evaporated?
A] 50.5% B] 49.5% C] 51% D] 48%

10. An insurance company received 10,000 claims in 2001, which was a 300 percent increase over the number
of claims received in 1999. How many claims did the company receive in 1999?
A] 2500 B] 3330 C] 2000 D] 1250

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11. A reduction of 10% in the price of tea enables a dealer to purchase 25 kg more for Rs 22500. What is the
original price per kg of tea?
A] Rs.90 B] Rs.100 C] Rs.1000 D] None of these

12. Two merchants sell an article for Rs.1000 each. Merchant A computes his profit on the cost price while
Merchant B, by mistake, computes his profit with selling price as the base. Each of them makes a profit
of 25%. By how much is the profit made by Merchant B greater than that of Merchant A?
A] Rs. 100 B] Rs. 75 C] Rs. 50 D] Rs. 0

13. Atul offers a cash discount of 25% on the articles sold, and also offers 3 articles to a dozen. What should be
his mark-up percent so that he still gains 50%?
A] 50% B] 150% C] 100% D] 60%

14. The price of a pair of shoes is reduced by 20% during a sale. If the new selling price for the pair of shoes is
Rs.600, what was the original price of a pair of shoes?
A] Rs.720 B] Rs.650 C] Rs.750 D] Rs.450

15. By selling toffees @ 15 for a rupee, a man lost 20%. In order to gain 20%, how many toffees for a rupee
should he sell?
A] 10 B] 12 C] 8 D] 18

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Solutions

1. [C] Let the number of phones be n and CP of a Let the mark price be y.
phone be x SP after discount = y 20% of y
Total CP = nx 4y 4y
=. Now, = 1680 + 30% of 1680
39nx 5 5
Total SP = nx 2.5% of nx =
40 4y 2184 5
Now, n / 2 phones are sold at 5% profit. = 2184 y = Rs.2730
5 4
nx nx
SP of n / 2 phones = 5% of
2 2 5. [B] More% of b equals less% of everyone else
21nx b is the smallest. Less% of equals more
=
40% of everyone else c is the largest.
n
SP of remaining phones = 5400
2 6. [B] Let the total number of apples with the
= 2700 n vendor be 100. Then, base of 60% is 100.
21nx 39nx On the first day he sells 60% apples i.e.60
Total SP = + 2700 n = apples. He throws 15% of the remaining i.e.
40 40
15% of 40 = 6 (Note that base of 15% is not
x = 6000.
100, but the number of apples remaining
2. [C] Let the CP be x. after 60% of apples are sold) The number
of apples with the vendor at the end of first
7x
SP = x + 40% of x = day = 40 6 = 34.
5
The next day he throws 50% of the
2x
Profit = Discount = remaining 34 apples i.e. 50% of 34 = 17
5
The number of apples the vendor throws
7 x 2x
Marked price = SP + Discount = + away = 6 17 23
5 5
9x The percentage of apples the vendor
= 23
5 throws away = 100 23%
2x 100
2
Discount% = 5 100 = 100 = 22.22
9x 9 7. [B] Number of female children = 10% of 18% of
5 population. Let population be P. Then,
90
3. [A] Let the total quantity of stock be x. 0.1 0.18 P = 90 or P = =
0.1 0.18
15x 17 x
Remaining goods = x 5,000.
100 20
Overall profit percentage = 10% 8. [A] Assume the value of the 3rd number as 100.
SP of
17 x
goods should be equal to that of Therefore, first number = 1.19 100 = 119
20 and second number = 1.70 100 = 170.
11x 17 x
119
100 70% .
11x Required percentage =
. Profit percentage = 10 20 100
170
10 17 x
20
9. [A] Let initial weight of fruit = 100 kg. Amount
= 29.4
of water in it = 99% of 100 = 99 kg. So,
amount of fruit pulp = 1 kg. nach
4. [D] SP = Rs.2520, Profit = 50%
evaporation of water, the remaining fruit has
Let the CP be x.
98% water or 2% pulp. Amount of pulp will
x + 50% of x = 2520
remain constant. If the weight of the fruit is left
3x
= 2520 x = Rs.1680 x, then 2% of x = 1 kg or x = 50 kg.
2

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The weight loss is 100 50 = 50 kg, which 14. [C] Let x be the original price. Then
is due to water only. Since initially, there 20
x x 600 0.8x = 600 x =
was 99 kg of water, percent of water which 100
50 Rs.750.
gets evaporated = 100 50.5%.
99
1
15. [A] S.P. of 1 toffee = of a rupee C.P. of 1
10. [A] If number of claims in 1999 is x, then 15
300 1 / 15
x 1 = 10000 x (1 + 3) = 10000 toffee = of a rupee. To gain 20%, SP
100 0.8
x = 2500.120 1 1
= CP (1.2) = of a rupee =
of a
80 15 10
11. [B] Amount of reduction = 10% of Rs.22500 = rupee the man must sell toffees at 10 for a
Rs.2250, with which we can buy 25 kg and rupee.
hence reduced price per kg = Rs.90. So,
90
original price = = Rs.100.
10
1
100

12. [C] Merchant B computes his profit as a


percentage of selling price. He makes a
profit of 25% on selling price of Rs.1000
Bs profit = 25% of 1000 = Rs.250
Merchant A computes his profit as a
percentage of cost price. Let cost price be x.
Then,
25 1000
x 1 1000 x = Rs.800.
100 1.25
Merchant A makes a profit of Rs. (1000
800) = Rs.200
Merchant B makes Rs.50 more profit
than Merchant A does.

13. [B] Offering 3 articles to a dozen means that if


somebody buys 12 articles, he will be given
3 articles free and so he gets 15 articles but
pays only for 12. So, discount% in this case
3
= 100 20%. So, this is a case of two
15
successive discounts of 25% followed by
20%. So, overall discount% = 25 20 +
(25)(20)
= 40%.
100
If CP = 100, then SP = 1.5 (100) = 150,
which is 40% less than MP or which is 60%
of MP. Therefore, (0.6) MP = 150 or MP =
1500/6 = 250 and so mark-up% =
250 100
100 = 150%.
100

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