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  ?

4

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) $1700×12=20400$

$\frac{\text{A's Capital Months}}{Total Capital Months}×\text{Total Profit}=627$

$\frac{13200}{13200+(21600-500x)+20400}×2527=627$

$⇒313500x=1302000$

$⇒x≃4$