Question

A, B, C enter into a partnership with shares in the ratio $\frac{7}{2}:\frac{4}{3}:\frac{6}{5}.$ After 4 months, A increases his share by 50%. If the total profit at the end of one year is Rs 21600, then B's share in the profit is :

• A. Rs 2100
• B. Rs 2400
• C. Rs 3600
• D. Rs 4000
• E. None of these

Answer 1

The correct option is D Rs 4000

Total given ratio $=\frac{7}{2}:\frac{4}{3}:\frac{6}{5}=105:40:36$
Let they initially invest Rs 105, Rs 40 and Rs 36, respectively.
Ratio of investments
$=[105\times 4+(150\%of105)\times 8]:(40\times 12):(36\times 12)$
$=1680:480:432=35:10:9$
B's share = $Rs(21600\times \frac{10}{54})=Rs4000$