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SSC GD 2025 PYQ — Question 48

SSC GD Const 2025 (English) - 07 Feb 2025 - Shift 3 • Quantitative Aptitude • Q48

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If the numerator of a fraction is increased by 10% and its denominator is diminished by 10%, then the fraction becomes 1145\frac {11} {45}. Find the original fraction.

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 15\frac 1 5 .

Let original fraction = x/y

After changes:

Numerator becomes 1.1x, Denominator becomes 0.9y

So, (1.1x) / (0.9y) = 11 / 45

Simplify:

(1.1 / 0.9) × (x/y) = 11 / 45

⇒ (11 / 9) × (x/y) = 11 / 45

Cancel 11:

(1 / 9) × (x/y) = 1 / 45

⇒ x/y = (1/45) × 9 = 1/5