Practice MCQ Questions and Answer on Percentage

81.

One-fifth of half of a number is 20. Then 20% of that number is :

(A) 80
(B) 60
(C) 20
(D) 40

Solution: Let the number is = x According to the question, $\frac{1}{5}$ of $\frac{1}{2}$ of x = 20 $\frac{1}{5}$ × $\frac{1}{2}$ × x = 20 x = 200 ∴ 20% of 200 : = $\frac{20}{100}$ × 200 = 40

82.

Solve this : (7.9% of 134) - (3.4% of 79) = ?

(A) 7.3
(B) 7.8
(C) 8.1
(D) 8.6

Solution: Answer & Solution Answer: Option E Solution: (7.9% of 134) - (3.4% of 79) $= (\frac{79}{10} \times \frac{1}{100} \times 134) -$ $(\frac{34}{10} \times \frac{1}{100} \times 79)$ $\begin{aligned} = \frac{79}{1000} \times (134 - 34) \\ = \frac{79}{1000} \times 100 \\ = \frac{79}{10} \\ = 7.9 \end{aligned}$

83.

If A's salary is 25% more than B's salary, then B's salary is how much lower than A's salary?

(A) $33 \frac{1}{3} %$
(B) 25%
(C) 20%
(D) $16 \frac{2}{3} %$

Solution: Let B's Salary is Rs. 100. Then, A's Salary = (100 + 25% of 100) = Rs. 125 Difference between A's Salary and B's Salary = 125 - 100 = Rs. 25 % Difference (lower) = $\frac{25}{125} \times 100 = 20 %$ Mind Calculation Method: 100(B salary) === 25%↑ ===> 125(A salary) === 20%↓ ===> 100 (B salary) B's salary is 20% lower than A's

84.

Out of the total production of iron from hematite, an ore of Iron, 20% of the ore gets wasted, and out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is

(A) 5,00,000 kg
(B) 4,00,000 kg
(C) 4,50,000 kg
(D) None of these

Solution: Let 100 kg of hematite be obtained then 20% of it get wasted that means 80 kg of ore remains. Pure iron = 25% of remaining ore = $\frac{80 \times 25}{100} = 20 kg$ 20 kg pure Iron is obtained from 100 of hematite 1 kg pure Iron is obtained from = $\frac{100}{20}$ hematite Then, 80000 kg pure Iron is obtained from = $\frac{100}{20} \times 80000 =$ $400000 kg$ hematite.

85.

A gardener increased the rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden:

(A) Has increased by 20%
(B) Has increased by 12%
(C) Has increased by 8%
(D) Is exactly the same as the old area

86.

Of the 50 researchers in a work group, 40% will be assigned to Team A and the remaining 60% to Team B. However, 70% of the researchers prefer team A and 30% prefer Team B. What is the least possible number of researchers who will not be assigned to the team they prefer ?

(A) 15
(B) 20
(C) 30
(D) 35

87.

If 'basis points' are defined so that 1 percent is equal to 100 basis points, then by how many basis points is 82.5 percent greater than 62.5 percent.

(A) 0.2
(B) 20
(C) 200
(D) 2000

88.

There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 45% play football, how many play both ?

(A) 48
(B) 60
(C) 80
(D) 120

Solution: $\begin{aligned} n (A) = (\frac{75}{100} \times 600) = 450 \\ n (B) = (\frac{45}{100} \times 600) = 270 \\ ∴ n (A \cap B) \end{aligned}$ $= n (A) + n (B) - n (A \cup B)$ $n (A \cup B)$ $- 600$ $\begin{aligned} = (450 + 270 - 600) \\ = 120 \end{aligned}$

89.

If 60% of A's income is equal to 75% of B's income, then B's income is equal to x% of A's income. The value of x is :

(A) 70
(B) 60
(C) 80
(D) 90

Solution: According to the question, ⇒ 60 × $\frac{A}{100}$ = 75 × $\frac{B}{100}$ ⇒ 4A = 5B ⇒ B = $\frac{4}{5}$ A ⇒ A × $\frac{x}{100}$ = B (given) ⇒ A × $\frac{x}{100}$ = $\frac{4}{5}$ A ⇒ x = 80

90.

Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

(A) Rs. 6876.10
(B) Rs. 6999.20
(C) Rs. 6654
(D) Rs. 7000

Solution: $\begin{aligned} Rebate = 6 % of Rs .6650 \\ = Rs . (\frac{6}{100} \times 6650) \\ = Rs . 399 \\ Sales tax = 10 % of Rs . (6650 - 399) \\ = Rs . (\frac{10}{100} \times 6251) \\ = Rs .625 .10 \\ ∴ Final amount \\ = Rs . (6251 + 625.10) \\ = Rs . 6876.10 \end{aligned}$

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Practice MCQ Questions and Answer on Percentage

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