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A person retires from the job and gets some amount as retirement fund. He saves 35% of the fund and the remaining amount is distributed among his wife, a son and a daughter in the ratio of 6 : 5 : 2. If the difference between the share of son and the amount which he saves for himself is Rs. 27200. Find the total amount which he received as a retirement fund.

A person retires from the job and gets some amount as retirement fund. He saves 35% of the fund and the remaining amount is distributed among his wife, a son and a daughter in the ratio of 6 : 5 : 2. If the difference between the share of son and the amount which he saves for himself is Rs. 27200. Find the total amount which he received as a retirement fund. Correct Answer Rs. 272000

Let the amount received by the person be 100x

Given, he saved 35% of the received amount for himself

and distributed among wife, son and a daughter in the ratio 6 : 5 : 2

⇒ Saved amount for himself = 100x × 35% = 35x

⇒ Remaining amount = 100x - 35x = 65x

⇒ Amount received by wife = 65x × 6/13 = 30x 

⇒ Amount received by son = 65x × 5/13 = 25x

⇒ Amount received by daughter = 65x × 2/13x = 10x

Now, accordign to question

35x - 25x = 27200

⇒ 10x = 27200

⇒ x = 2720

So, the total amount received by the person at there retirement = 100x 

Hence, 2720 × 100 = Rs. 272000

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