10 chocolates are distributed in the ratio 2 : 3 between A and B respectively. B further divided the chocolates with him between C and D equally. If D gives back all the chocolates with him to A, what is the final number of chocolates with A ?
A
5
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B
6
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C
7
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D
8
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Solution
The correct option is C 7 Sum of the terms of the ratio = 2 + 3 = 5 ⇒ Value of 5 parts = 10 chocolates ⇒ Value of 1 part = 105=2 chocolates
∴ A gets 2 parts = 2×2=4 chocolates B gets 3 parts = 3×2=6 chocolates
Further, B divides the chocolates with him equally between C and D ⇒ C and D get 3 chocolates respectively.
∵ D gives all his chocolates to A
The final number of chocolates with A = 4 + 3 = 7.