A, B and C are partners in a business. A receives $\frac{3}{5}$ of the total profit while B and C share the remainder equally. A's profit is increased by ₹1,500, when the rate of profit is increased from 10% to 12% in a year. Then, B's share in the total profit is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → ₹3,000
Profit at 10% $(P_1)$,
$P_1=0.10×T$ [T = Total capital]
A's share of this profit,
$A_1=\frac{3}{5}×P_1=0.06×T$
Profit at 12% $(P_2)$,
$P_2=0.12×T$
A's share of this profit,
$A_2=\frac{3}{5}×0.12×T=0.072×T$
Now
$A_2-A_1=0.072T-0.06T$
$=0.012T$
$∴0.012T=1500$
$⇒T=\frac{1500}{0.012}=1,25,000$
$∴P=0.12×125000$
$=15000$
$⇒A_{share}=\frac{3}{5}×15000=9000$
$∴B_{share}=\frac{15000-9000}{2}=3,000$