Practice Questions for Arithmetic - Percentage

1. PE 2 - Percentage | Arithmetic - Percentage

Mr. Manoj saves 30% of his salary every month. But in April, his expenses increase by 20% of his original expenses and he saves $280 less than the amount he saves normally. What is his salary?

A.
$2000
B.
$1500
C.
$2400
D.
$3000
E.
$1550

2. PE 2 - Percentage | Arithmetic - Percentage

In every box of 120 bulbs, 5% are defective. If a company needs 4,000 non-defective bulbs, what is the minimum number of boxes that it has to purchase?

A.
32
B.
34
C.
35
D.
36
E.
None of these

3. PE 2 - Percentage | Arithmetic - Percentage

Gurmeet purchased a box of chocolates. She ate 20% of them and gave 25% of the remaining chocolates to her friends. Of the remaining chocolates, she ate 20% of it and gave 25% of the remaining chocolates to her friends. Then, she gave 20 chocolates to a guest. Finally, she is left with 35% of the chocolates that she initially had. How many chocolates did Gurmeet eat?

A.
320
B.
500
C.
640
D.
1250

4. PE 2 - Percentage | Arithmetic - Percentage

It is given that k = x² - 2x. If x is doubled, what is the percentage change in k?

A.
100%
B.
200%
C.
121%
D.
0%
E.
Cannot be determined

5. PE 2 - Percentage | Arithmetic - Percentage

The cost of an air ticket is Rs. 2,000 plus tax. If a discount of 50% is allowed on the cost price of the air ticket (not tax), the cost of the ticket decreases by 40%. What is the amount of tax charged on the purchase of a ticket?

A.
Rs. 400
B.
Rs. 1000
C.
Rs. 500
D.
Rs. 800
E.
Cannot be determined

6. PE 2 - Percentage | Arithmetic - Percentage

Hitesh said to Rohit, if you give me 10% of your pocket money, I will have 100% more than what you will be left with. By how much percent is Hitesh's pocket money more than Rohit's?

A.
80%
B.
40%
C.
50%
D.
70%
E.
60%

Answer: Option D

Explanation :

Let the pocket money of Hitesh and Rohit be P and V, respectively.

Now, $H + \frac{R}{10} = 2 (R - \frac{R}{10})$

⇒ H = $\frac{9}{5} R - \frac{R}{10} = \frac{17}{10} R$

H = R + $\frac{7}{10}$ R

⇒ Hitesh’s money is 7/10 × 100 = 70% more

Hence, option (d).

7. PE 2 - Percentage | Arithmetic - Percentage

Two friends x and y have some money with them. ‘x’ gives 40% of his money to ‘y’ and ‘y’ gives 16.67% of the money he now has to ‘x’. Both the friends have the same amounts of money now. If M and N respectively are the amounts of money with ‘x’ and ‘y’ at the beginning, then

A.
M = N
B.
M > N
C.
M < N
D.
M + N = 600
E.
None of these

8. PE 2 - Percentage | Arithmetic - Percentage

There are 150 students in a class and 60% of them are girls. 60% of the girls in the class have not studied Math. Taking the class as a whole, 50% of the students have not studied Math. What percentage of boys in the class have studied Math?

A.
65%
B.
50%
C.
40%
D.
30%
E.
None of these

9. PE 2 - Percentage | Arithmetic - Percentage

If a quantity is decreased by 30% and then increased by 50%, by how much percentage does it have to be decreased to bring it back to the original quantity?

A.
4.76%
B.
5.85%
C.
1.33%
D.
9.5%
E.
20%

Answer: Option A

Explanation :

Assume the quantity as 100.

It is decreased by 30%, then increased by 50%, and finally decreased by let’s say p%.

Given, final number is same as initial number

∴ $N (1 - \frac{30}{100}) (1 + \frac{50}{100}) (1 - \frac{p}{100})$ = N

⇒ $(\frac{7}{10}) (\frac{3}{2}) (1 - \frac{p}{100})$ = 1

⇒ $(1 - \frac{p}{100}) = \frac{20}{21}$

⇒ p = 100/21% ≈ 4.76%

Hence, option (a).

10. PE 2 - Percentage | Arithmetic - Percentage

x is a positive integer. How many values can 'x' take such that x% of 350 is less than 50?

A.
13
B.
14
C.
15
D.
12
E.
16

PE 2 - Percentage | Arithmetic - Percentage

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