A man before his death writes his will In it he mentions that three fifth of his wealth to be given ...........

Quant (SSC) Ratio, Proportion

A man before his death writes his will. In it, he mentions that three-fifth of his wealth to be given to his Son-in-law and daughter. The ratio of amount to be given to the daughter and the son-in-law must be 4 : 1 respectively. Half the amount that his daughter is getting must be donated to his favourite NGO. One fourth of the remaining amount, he entitles his wife to receive and the rest which amounts to Rs. 16800, he wants to be burried along his grave. What amount he donated to the NGO mentioned in the question?

25200

28400

33600

36800

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Explanation:

Let the total wealth be Rs. 100.
Amount to be given to the son-in-law and the daughter
= 3 /5 x 100 = 60
The given ratio of amount of the son-in-law and the daughter = 1 : 4
∴ Amt. to be given to the daughter = 4 /5 x 60 = 48
∴ Amt. to be donated to the NGO = 1 /2 x 48 = 24
Now, remaining amount = 100 – 60 – 24 = 16
Amt. to be given to wife = 1 /4 x 16 = 4
The final remaining amount = 16 – 4 = 12
Applying the rule of proportion here, we get
Since, 12 ≡ 16800
∴ 24 (the amount donated to the NGO) ≡ X
∴ X = 16800 /12 x 24 = 33600