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Question

Sujit can do a piece of work in 4 days, and Rakesh can do it in 8 days. If they work together for 2 days, how much of the work will be left?

This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is

25%

Sujit's work rate is \(\frac{1}{4}\) of the work per day, and Rakesh's rate is \(\frac{1}{8}\) of the work per day.

Working together, their combined rate is \(\frac{1}{4} + \frac{1}{8} = \frac{2}{8} + \frac{1}{8} = \frac{3}{8}\) per day.

In 2 days, the work completed is \(2 \times \frac{3}{8} = \frac{6}{8} = \frac{3}{4}\).

The remaining work is \(1 - \frac{3}{4} = \frac{1}{4} = 25\%\).

Hence, the answer is 25%.

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