A, B and C enter into a partnership and invest ₹1,100:₹1,300 and ₹1,700 respectively. After few months an additional capital of ₹500 is invested by B. After 12 months they closed the business with a profit of ₹2,527. A's share of profit was ₹627. How many months after the start of business B invested the additional capital ?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 4
The capital months for each partner are,
(A) $1100×12=1,32,000$
(B) $1300×x+1800×(12-x)=21600-500x$
(C) $1700×12=20400$
$\frac{\text{A's Capital Months}}{Total Capital Months}×\text{Total Profit}=627$
$\frac{13200}{13200+(21600-500x)+20400}×2527=627$
$⇒313500x=1302000$
$⇒x≃4$