Class 8 Maths: Fractions as Percentages — Practice Questions with Answers

Explanation: To convert a fraction to a percentage, multiply it by 100. So 3/4 × 100 = 300 ÷ 4 = 75, which means 3/4 = 75%. The option 25% is actually 1/4, and 34% comes from wrongly joining the digits 3 and 4.

Explanation: 20% means 20 out of 100, which is the fraction 20/100. Dividing the numerator and denominator by 20 gives 1/5. The option 1/20 confuses 20% with 1 out of 20, and 2/5 is actually 40%.

Explanation: The fraction of girls is 30/50. Multiplying the numerator and denominator by 2 gives 60/100, which is 60%. Choosing 30% is the common error of copying the count 30 without first making the denominator 100, and 40% is the percentage of boys, not girls.

Explanation: 25% is the same as the fraction 1/4. One-fourth of ₹200 is 200 ÷ 4 = ₹50. Picking ₹25 mistakes the percentage figure itself for the answer, while ₹150 is the amount left after removing 25%.

Explanation: Convert every value to a percentage to compare: 3/5 = 60%, 0.58 = 58%, 55% stays 55%, and 13/20 = 65/100 = 65%. Since 65% is the greatest, 13/20 is the largest. 3/5 looks big but is only 60%.

Explanation: The score as a fraction is 18/24, which simplifies to 3/4 on dividing both numbers by 6. As a percentage, 3/4 × 100 = 75%. Writing 18% just copies the raw score, and 72% comes from wrongly treating the total as 25 and multiplying 18 by 4.

Explanation: 45% is the fraction 45/100. So the number of bus travellers = 45/100 × 600 = 45 × 6 = 270. As a quick check, 50% of 600 is 300, and 45% must be a little less than that, which matches 270 and rules out 300 and 330.

Explanation: 12½% equals 25/2 percent. To convert a percentage to a fraction, divide by 100: (25/2) ÷ 100 = 25/200 = 1/8. The option 25/2 forgets to divide by 100, and 1/12 wrongly uses only the whole-number part 12.

Explanation: First write 2/5 as a percentage: 2/5 = 40/100 = 40%. Mangoes and bananas together make 40% + 35% = 75% of the fruits. Since all the fruits form 100%, apples = 100% − 75% = 25%. The option 65% removes only the bananas and forgets the mangoes.

Explanation: Let the maximum marks be M. Then 60/100 × M = 240, so M = 240 × 100 ÷ 60 = 400. The answer 144 wrongly finds 60% of 240, and 384 adds 60% to 240; both reverse the actual relationship between the score and the maximum.

Explanation: We need the value of (1/2) ÷ (2/3), which is 1/2 × 3/2 = 3/4. As a percentage, 3/4 = 75%, so 1/2 is 75% of 2/3. Choosing 133⅓% answers the reverse question of what percent 2/3 is of 1/2.

Explanation: After spending 30% on books, 100% − 30% = 70% of the money remains. Snacks use 3/10 of this remainder, which is 3/10 × 70% = 21% of the whole pocket money. So the money left = 70% − 21% = 49%. The option 40% wrongly treats 3/10 as 30% of the whole amount instead of the remainder.