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Quantitative Aptitude

Ratio & Proportion

A, B and C en...

Question

A, B and C enter into a partnership their shares are in the of ratio $\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$ . After 2 months, A withdraws half of his capital Atter 10 months, a profit of Rs 378 is divided among them. What is B's share?

Rs 129

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Rs 144

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Rs 156

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Rs 168

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None of these

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Solution

The correct option is B Rs 144
Suppose, shares of A, B and C are 6K, 4K and 3K, respectively.
$∴$ Profit of 378 is divided among them in the ratio of $6 K \times 2 + 3 K \times 10 : 4 K \times 12 : 3 K \times 12$
i.e., 42 : 48 : 36
i.e., 7:8:6
$∴ B^{'} s s h a r e \frac{8}{21} \times 378 = R s 144$

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A, B and C enter into a partnership their shares are in the of ratio 12:13:14. After 2 months, A withdraws half of his capital Atter 10 months, a profit of Rs 378 is divided among them. What is B's share?

The correct option is B Rs 144Suppose, shares of A, B and C are 6K, 4K and 3K, respectively. ∴ Profit of 378 is divided among them in the ratio of 6K×2+3K×10:4K×12:3K×12 i.e., 42 : 48 : 36 i.e., 7:8:6 ∴B′s share 821×378=Rs144

A, B and C enter into a partnership their shares are in the of ratio $\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$ . After 2 months, A withdraws half of his capital Atter 10 months, a profit of Rs 378 is divided among them. What is B's share?