Question

A, Band C enter into a partnership in the ratio $\frac{7}{2}:\frac{4}{3}:\frac{6}{5}$ After four months, A increase his share by 50%. If the total profit at the end of one year be Rs. 21,600, then 8's share in the profit is

• A. Rs. 2100
• B. Rs. 2400
• C. Rs. 3600
• D. Rs. 4000

Answer 1

Answer: (D)

Rs. 4000

Ratio of the initial investment =$\frac{7}{2}:\frac{4}{3}:\frac{6}{5}$
$105:40:36$
So the actual investment of A,B,C=105x,40x and 36x
A increases his share 50% after 4 months. Hence the ratio of their investments=
$(105x\times 4)+(105x\times \frac{150}{100}\times 8):40x\times 12:36x\times 12$
$105+(105\times \frac{3}{2}\times 2):40\times 3:36\times 3$
$105\times 4:40\times 3:36\times 3$
$35:10:9$
Total=$35+10+9=54$
B,s profit=$\frac{10}{54}\times 21600=4000Rs.$