Question 139

Mr. Sharma distributed an amount of money among his wife, one son and one daughter and kept some money for himself. 12% of the total amount he gave to his wife and kept 22% for himself. Out of the remaining amount, he gave to his son and daughter in the ratio of 7:8 respectively. If the daughter got Rs. 3,806 more than the son, what was the total amount that Mr. Sharma had ?

Solution

Let Mr. Sharma initially has Rs. $$100x$$

Amount received by Mr. Sharma and his wife (%) = 12 + 22 = 34%

=> Remaining amount (%) = 100 - 34 = 66%

= $$\frac{66}{100} \times 100x = 66x$$

Acc. to ques,

=> $$(\frac{8}{8 + 7} \times 66x) - (\frac{7}{8 + 7} \times 66x) = 3806$$

=> $$\frac{66x}{15} = 3806$$

=> $$x = \frac{3806 \times 15}{66}$$

=> $$x = 865$$

$$\therefore$$ Total amount that Mr. Sharma has = 100 * 865 = Rs. 86,500

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