Question

$A$ and $B$ entered into partnership with capitals in the ratio $4:5$. After $3$ months, $A$ withdrew $\frac{1}{4}$ of his capital and $B$ withdrew $\frac{1}{5}$ of his capital. The gain at the end of $10$ months was Rs. $760$. $A$'s share in this profit is:

• A. Rs. $330$
• B. Rs. $360$
• C. Rs. $380$
• D. Rs. $430$

Answer 1

The correct option is A Rs. $330$

$A:B=[4x\times 3+(4x-\frac{1}{4}\times 4x)\times 7]:[5x\times 3+(5x-\frac{1}{5}\times 5x)\times 7]$
$=(12x+21x):(15x+28x)$
$=33x:43x$
$=33:43$.
$\therefore$ $A$'s share $=$ Rs. $(760\times \frac{33}{76})=$ Rs. $330$.