Question

mr.ramesh gives 10% of some amount tohis wife and 10% of the remaining to hospitalexpenses and again 10% of the remainingamount to charity. then he has only rs.7290with him. what is the initial sum of moneywith that person?

Answer 1

let the initial sum of money be ' Rs x '

amount given to wife = 10 % of x

= 10 × x /100 = Rs 0.1 x

remaining money = x - 0.1 x = Rs 0.9 x

since, given that he gives 10 % of the remaining amount to hospital expenses.

Find the amount:
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amount given to hospital expenses

= 10 % of 0.9x = 0.1 × 0.9x = Rs 0.09x

remaining money = 0.9x - 0.09x = Rs 0.81x

since , given that he gives 10 % of the remaining amount to charity.

Find the amount:
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amount given to charity = 10% of 0.81x

= 0.1 × 0.81x = Rs 0.081x

remaining money=0.81x - 0.081x

= Rs 0.729x

according to the given statement :
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remaining money = Rs 7290

0.729 x = 7290

729x /1000 = 7290

x = Rs 10,000

therefore, initial sum of money with that person was = Rs10,000

Answer initial sum = Rs 10,000

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