A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew $ \dfrac{1}{4} $ of his capital and B withdrew $ \dfrac{1}{5} $ of his capital. The gain at the end of 10 months was Rs. 760. As share in this profit is:
Rs. 330
Rs. 360
Rs. 380
Rs. 430
Explanation:
A : B =$ \left(4x \times 3 +\left(4x -\dfrac{1}{4} \times 4x\right)\times 7\right) $:$ \left(5x \times 3 +\left(5x -\dfrac{1}{5} \times 5x\right)\times 7\right) $
= $\left(12x+ 21 x \right)$ : $\left(15 x + 28 x \right)$
= 33$ x $ :43$ x $
= 33 : 43.
$\therefore$ As share = Rs.$ \left(760 \times\dfrac{33}{76} \right) $= Rs. 330.