Percentages Quiz Set 014

Question 1

Mr. X who spends 69% of his salary is able to save Rs. 527. What is his salary?

A

Rs. 1700.

B

Rs. 1800.

C

Rs. 1600.

D

Rs. 1900.

Soln.
Ans: a

Let the salary be x. His saving% is 100 - 69 = 31, so 31% of x = 527, which gives x = \$527/31\$ × 100 = Rs. 1700.

Question 2

Two numbers are, respectively, 5% and 25% less than a third number. What percent is the second of the first?

A

\$78{18/19}\$ %.

B

\$84{7/18}\$ %.

C

\$70{11/21}\$ %.

D

\$74{1/7}\$ %.

Soln.
Ans: a

If the third number is 100, first number is (100 - 5) = 95, and the second number is (100 - 25) = 75. The required ratio is \$75/95\$ × 100 = \${1500/19}\$, which is same as: \$78{18/19}\$%.

Question 3

A number is first increased by 60%. By what percent must it be reduced so as to restore it to its previous value?

A

\$37{1/2}\$ %.

B

\$38{1/2}\$ %.

C

\$36{1/2}\$ %.

D

\$20{1/4}\$ %.

Soln.
Ans: a

Let us derive the shortcut formula first, so that you can remember it and use it when the need arises. Suppose the number is 100, and let the increase be x%. The number becomes 100 + x. Let us suppose that it has to be reduced by p% to restore it to 100. Then, (100 + x) - p × \$(100 + x)/100\$ = 100. We can cancel away 100, and easily simplify it to p = \${100 × x}/{100 + x}\$ = \${100 × 60}/{100 + 60}\$ = \${75/2}\$, which is same as: \$37{1/2}\$%.

Question 4

A bag contains 1380 red, 1740 green and 2880 blue marbles. What percentage of the total is the most visible color in the bag?

A

48 %.

B

58 %.

C

38 %.

D

68 %.

Soln.
Ans: a

By inspection, blue is the most visible color. The percentage of blue is \$2880/{1380 + 1740 + 2880}\$ × 100 = 48%.

Question 5

The sum of two numbers is 792. One of them is 164% of the other. The smaller number is?

A

300.

B

310.

C

290.

D

320.

Soln.
Ans: a

Let the numbers be x and \${164x}/100\$. The sum is x + \${164x}/100\$ which is same as \${264x}/100 = 792\$. Solving we get the smaller number x = 300. This Blog Post/Article "Percentages Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.