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A student was asked to multiply a number by 5/4 but he divided that number by 5/4. His result was 45 less than the correct answer. The number was

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100

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Detailed Solution

Solution: Let total number = x

Each person contributed Rs. 2x

The number is = x

$\frac{5 x}{4} - \frac{4 x}{5} = 45$

$\Rightarrow \frac{25 x - 16 x}{20} = 45 \Rightarrow 9 x = 900$

$\Rightarrow$ x = 100

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