A father wants to divide ₹3,600 among his sons in the ratio of their ages. Their ages are 12 years and 15 years. Find their respective shares.

₹1,600 and ₹2,000

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₹1,500 and ₹1,700

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₹1,300 and ₹1,600

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₹1,450 and ₹1,120

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Solution

The correct option is A
₹1,600 and ₹2,000

The ratio of their ages is 12:15. Its simplest form is 4:5.

So, the money has to be divided in this ratio.

Let the shares be 4x and 5x respectively.

Now, 4x + 5x = 9x
$⟹$ 9x = 3600
$⟹$ x = 400

Hence, their respective share will be,
400(4) = ₹1,600

400(5) = ₹2,000

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