100+ Percentage Questions with Solutions Pdf - 1

Question: 1

Which is greatest in $$16{2}/{3}$$%,$${ 2}/{15}$$ and 0.17?

(A) 0.17 is greatest

(B) 0.18 is greatest

(D) 0.20 is greatest

View Answer

Ans: A

$$16{2}/{3}%$$ = $$({50/3} × {1/100})$$ = $${1}/{6}$$ = 0.166, $${2}/{15}$$ = 0.133.

Clearly, 0.17 is the greatest.

Question: 2

State Electricity Board gives 15% discount on electric bills if it is paid before due date. One person gets Rs. 54 as discount. The amount of actual bill was

(A) Rs. 359

(B) Rs. 360

(D) Rs. 362

View Answer

Ans: B

Let the amount of actual bill be Rs. x.

According to the question, 15% of x = Rs. 54 = $${x × 15}/{100}$$ = 54

x = $${54 × 100}/{15}$$ = Rs. 360.

Question: 3

85% and 92% alcoholic solutions are mixed to get 35 litres of an 89% alcoholic solution. How many litres of each solution are there in the new mixture?

(A) 10 of the first and 25 out of the second

(B) 12 of the first and 23 of the second

(D) 20 of the first and 15 of the second

View Answer

Ans: C

Let x litres of the first and (35 – x) lites of the second

solution be mixed together.

Then, 85% of x + 92% of (35 – x) = 89% of 35

⇒ 85x + 92(35 – x) = 89 × 35

⇒ 85x + 3220 – 92x = 3115

⇒ 7x = 105 ⇒ x = 15.

Hence, quantity of first solution = 15 litres, quality of second solution = 20 litres.

Question: 4

In an examination, 65% of the total examinees passed. If the number of failures is 420, the total number of examinees is

(A) 1000

(B) 1100

(D) 1300

View Answer

Ans: C

Let the total number of examinees be x.

Then, (100 – 65)% of x.

= 420 ⇒ 35% of x = 420 ⇒ $${35}/{100}x$$

= 420 ⇒ x = $$({420 x 100} / {35})$$ = 1200.

Question: 5

125% of 3060 – 85% of ? = 408

(A) 3890

(B) 4015

(D) 4030

View Answer

Ans: C

Let 125% of 3060 – 85% of x = 408. Then,

85% of x = $$({125/100} × 3060)$$ – 408

⇒ $${85}/{100}x$$ = 3825 – 408

⇒ $${17x} /{20}$$ = 3417

⇒ x = $${3417 × 20}/{17}$$ = 4020.

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100+ Percentage Questions with Solutions Pdf - 1

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