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Question

A man spends 3 / 8 of his money and 8 still has Rs 720 left with him. How much money did he have at first?

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Solution

Given

Man spends 3 / 8 of his money

Let us assume a man has Rs 1

Amount spent = 3 / 8 of 1

We get,

= Rs 3 / 8

Amount left = 1 – 3 / 8

We get,

= (8 – 3) / 8

= Rs 5 / 8

Since 5 / 8 of his total money = Rs 720

∴ Total money = Rs (720 × 8) / 5

= Rs 5760 / 5

= Rs 1152

Hence, total money a man has is Rs 1152


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