# Quantitative Aptitude: Percentage Questions Set 9

1. The selling price and cost price of an table differs by Rs.4000. What is the selling price in case the profit percentage is 20%?
20,000
12,000
25,000
22,000
21,000
Option A
SP – CP = 4000
1.2x – x = 4000
⇒0.2x = 4000
⇒x = 20,000

2. If a person sells his car at 8% profit against 8% loss, then he could had earned Rs12000 more. What is the cost price of car?
Rs.85000
Rs.75000
Rs.45000
Rs.55000
Rs.65000
Option B
Let Cost Price (CP) = x
Then Selling Price(SP) if he sells at profit = x(1+8%) = 1.08x
and SP, if he sells at loss = x(1-8%) = 0.92%
Given, 1.08%-0.92% = Rs12000
0.16x = Rs.12000
⇒x = Rs.75000

3. Find the amount of water which should be added to 60% solution of citric acid to make it a 40% solution?
35cc
45cc
40cc
50cc
60cc
Option D
Concentration of citric acid = 60%
So in a 100cc, citric acid = 80cc and water = 40cc
Let x be the amount of water added to make concentration of 40%
⇒60/(100+x) = 40/100
⇒ 60/(100+x) = 2/5
∴ x = 50cc

4. A bangle contains 20mg copper, 20mg gold and 40mg silver.Then find out the percentage gold in the bangle?
22%
20%
35%
25%
15%
Option D
Total weight of bangle = 20+20+ 40 = 80mg
Weight of gold = 20g
Percentage of tin = 20g/80g x 100
=25%

5. If the price of petrol is increased by 10% and subsequently by 20%. If the original price was Rs70 per litre then what is then the final price per litre?
Rs. 92.4
Rs. 96.4
Rs. 95.4
Rs. 72.4
Rs. 82.4
Option A
Final Price = 70 x (1 + 10/100) x (1 + 20/100)
= Rs. 92.4

6. The price of a onion is increased by 40%. If the original price is Rs. 300 per kg , what is the final price of the onion?
Rs.120
Rs.420
Rs.220
Rs.320
Rs.200
Option C
Final Price = Initial price + Initial price x 40/100
= Initial price x (1+40/100)
= Rs.300x(1.4)
= Rs.420

7. If 15% of a number is 4500, then the number is
30,000
50,000
40,000
33,000
35,000
Option A
Let the number be y.
Then, 15% of y = 4500
( 15 / 100 )y = 4500
y= 30,000

8. 25 % of a number when added to 25 is equal to that number. What is the number?
33.3
35.3
36.3
37.3
38.3
Option A
Let ‘x’ be the required number
0.25x + 25 =x
∴ 0.75x=25
∴ x=33.3

9. Lavanya income is 20% more than prem’s. How much less is Prem’s income than that of Lavanya’s?
17.6%
16.6%
13.6%
14.6%
15.6%
Option B
Prem’s income is less than Lavanya’s = [(20 / (100 + 20)] × 100 %
= 16.6%

10. The total population of a village is 3000, out of which 1500 are males. Out of every 100 males, 98 can read and write, but only 53% of the total population can do so. Find the percentage of women who can read and write.
9
7
5
8
6
Option D
Number of men who can read and write = 1500 × (98 ÷ 100) =1470

Number of men and women who can read and write =3000 × (53 ÷ 100) =1590

Number of women who can read and write 1590 – 1470 = 120

Thus, out of 1500women 120 can read and write.

Required percentage = ( 120× 100) ⁄ 1500 %= 8%