Rajni has a certain amount of money in her bank. She spent Rs $10 \frac{1}{4}$ in the school canteen, bought a gift worth Rs $25 \frac{3}{4}$ and gave Rs $16 \frac{1}{2}$ to her friend.How much she have to begin with?

52 \frac{1}{2}

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52 \frac{3}{4}

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52 \frac{1}{4}

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52 \frac{3}{5}

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Solution

The correct option is A $52 \frac{1}{2}$
Amount given to canteen= Rs $10 \frac{1}{4}$
Amount spent on gift = Rs $25 \frac{3}{4}$
Amount gave to friend = Rs $16 \frac{1}{2}$

To begin with Rajni had = $10 \frac{1}{4}$ + $25 \frac{3}{4}$ + $16 \frac{1}{2}$

$\Rightarrow \frac{41}{4} + \frac{103}{4} + \frac{33}{2}$
$\Rightarrow \frac{41 + 103 + 66}{4} = \frac{210}{4} = 52 \frac{1}{2}$

So, option c is correct.

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