Mani Ram divides ₹ 17200 among his 5 sons, 4 daughters and 2 friends. If each daughter receives four times as much as each friend receives and each son receives five times as mush as each friend receives, how much does each daughter receive?

₹ 800
₹ 1500
₹ 1000
₹ 1600

Correct Answer: ₹ 1600

Explanation:

Let share of each friend = a.
Then, share of each daughter = 4a.
and share of each son = 5a.
According to the question,
5 x 5a + 4 x 4a + 2 x a = 17200
⇒ 25x + 16x + 2x = 17200
⇒ 43x = 17200
∴ x = 17200/43 = 400
∴ Share of each daughter
= 4x = 4 x 400
= ₹ 1600

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