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Question

A person spends 13 of his money on clothes, 15 of the remaining on food and 14 of the remaining on travel. Now he is left with Rs. 100. How much did he have with him in the beginning?

A
Rs. 200
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B
Rs. 250
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C
Rs. 300
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D
Rs. 450
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Solution

The correct option is B Rs. 250
Let the total money with the person be Rs. x.
Then, momey spent on cloths = Rs. x3

Remaining money = Rs. (xx3)= Rs. 2x3
Money spent on food = 15× Rs. 2x3 =Rs.2x15
Now, remaining money = 2x32x15= Rs. 8x15
Money spent on travel = 14× Rs. 8x15 = Rs. 2x15
Given, x3+2x15+2x15+100=x
5x+2x+2x+150015=x
9x+1500=15x6x=1500
x=15006= Rs. 250

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