Numerical: percentage MCQ — 7 Practice Questions with Answers

Explanation

Let the number of females be x, so males are 6000 - x. The total increase is 6500 - 6000 = 500. Hence 8% of males plus 10% of females equals 500: 0.08(6000 - x) + 0.10x = 500. This gives 480 - 0.08x + 0.10x = 500, so 0.02x = 20 and x = 1000. Counts such as 1200, 1100, and 1300 would make the increase more than 500, so they do not fit the given final population.

Explanation

Take the initial income as 100. Rakesh spends 80, so his saving is 20. After a 14% rise, income becomes 114. Saving decreases by 15%, so it becomes 17. Therefore, new expenditure is 114 - 17 = 97. The increase in expenditure is 17 over the old expenditure of 80. Thus, the percentage increase is 17/80 x 100 = 21.25%. The other percentages do not match this income-saving calculation.

Explanation

The word MATHEMATICAL has 12 letters. The group MA occurs twice in it: at the beginning and again in the middle. Replacing each MA, a two-letter group, by N, a one-letter group, reduces the total count by 2 letters. The new count becomes 10, so the reduction is 2 out of 12. The percentage reduction is (2/12) x 100 = 16 2/3%. Therefore 20%, 15 2/3%, and 16 4/3% do not follow from the actual reduction.

Explanation

Kamal starts with 200 toffees. Ram receives 5% of 200, which is 10. Aman receives 15% of 200, which is 30. Gopal receives one-fourth of 200, which is 50. The total distributed is 10 + 30 + 50 = 90 toffees, so Kamal has 200 - 90 = 110 toffees left. The counts 100, 120 and 130 arise from subtracting the wrong total or treating one of the percentage shares incorrectly.

Explanation

Let the total marks be x and the passing mark be p. From the first candidate, p = 20% of x + 15. From the second condition, 42% of x is 12% of total marks above the passing mark, so p = 42% of x - 12% of x = 30% of x. Then 30% of x = 20% of x + 15, giving 10% of x = 15 and x = 150. Hence p = 30% of 150 = 45. The values 33, 30 and 40 do not satisfy these two conditions.