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Q.

3 children (A, B, and C) shared chocolate of a certain length in the ratio of 3:5:8 respectively. If the chocolate costs ₹32, how much each has to pay?

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a

₹6, ₹10, ₹16

b

₹16, ₹11, ₹5

c

₹8, ₹10, ₹14

d

₹12, ₹20, ₹28

answer is A.

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Detailed Solution

Given: Cost of the chocolate = ₹32

Let the length of chocolate shared by the 3 children be 3x, 5x, and 8x.

∴ 3x + 5x + 8x = 32

⇒ 16x = 32

⇒ x = 2

So, the money paid by child A = 3x = 3(2) = ₹6

Money paid by child B = 5x = 5(2) = ₹10

Money paid by child C = 8x = 8(2) = ₹16

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