# Percentages Quiz Set 004

### Question 1

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 2

Price of sugar is increased by 60%. By what percentage should consumption be reduced so that the expenditure remains same?

A

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

B

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

C

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

D

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

Soln.
Ans: a

Let price be Rs. 100/kg and the consumption be 1 kg. The current expenditure is 100 × 1 = Rs. 100. The new price of sugar is 100 + 60 = Rs. 160/kg. Let the new consumption be c kg. Now, if expenditure is to be same we should have 100 = 160 × c, which gives c = 100/160, so the decrease is 1 - \$100/160\$ = \${160 - 100}/160\$ × 100% = \${75/2}\$, which is same as: \$37{1/2}\$%.

### Question 3

Two numbers are, respectively, 5% and 35% less than a third number. What percent is the second of the first?

A

\$68{8/19}\$ %.

B

\$73{5/18}\$ %.

C

61 %.

D

\$64{13/21}\$ %.

Soln.
Ans: a

If the third number is 100, first number is (100 - 5) = 95, and the second number is (100 - 35) = 65. The required ratio is \$65/95\$ × 100 = \${1300/19}\$, which is same as: \$68{8/19}\$%.

### Question 4

The sum of two numbers is 1712. One of them is 114% of the other. The smaller number is?

A

800.

B

810.

C

790.

D

820.

Soln.
Ans: a

Let the numbers be x and \${114x}/100\$. The sum is x + \${114x}/100\$ which is same as \${214x}/100 = 1712\$. Solving we get the smaller number x = 800.

### Question 5

Mr. X who spends 80% of his salary is able to save Rs. 40. What is his salary?

A

Rs. 200.

B

Rs. 300.

C

Rs. 500.

D

Rs. 400.

Soln.
Ans: a

Let the salary be x. His saving% is 100 - 80 = 20, so 20% of x = 40, which gives x = \$40/20\$ × 100 = Rs. 200.

Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer