Suhas mistakenly took as dividend a number which was 10% less than the original dividend. He also mistakenly took as divisor a number which was 20% less than the original divisor. If the correct quotient of the original question of division was 24 and the remainder was 0, then what quotient did Suhas obtain, assuming there was no error in his calculations?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1)

Answer 1

Given:

Original quotient (Q) = 24 Remainder = 0 Dividend was taken 10% less Divisor was taken 20% less

Formulas used:

dividend = Q × divisor

Calculation:

Let the original dividend (D) be 100 units.

The correct dividend (D) and divisor (d) result in a quotient of 24 and remainder 0 (i.e., D = 24d),

Suhas erroneously took 90% of the dividend (0.9D) and 80% of the divisor (0.8d).

The quotient (Q) of these two erroneous values is:

Q = 0.9D / 0.8d.

Substitute D = 24d

Q = 0.9 × 24d / 0.8d Q = 21.6 / 0.8 Q = 27.

So, Suhas would have obtained a quotient of 27.