Question

A and B enter into a partnership with capitals 4:5, and at the end of 8 months, A withdraws. If they receive profits in the ratio 8:15, find how long B's capital was used?

• A. 4 months
• B. 8 months
• C. 10 months
• D. 12 months

Answer 1

Answer:

D. 12 months

Solution:

Given, A and B invested in the ratio 4 : 5

Let capital of A= 4x

Capital of B = 5x

Time of inestment of A is 8 months. B invested for 'a' months

$A : B = 4x\times{8} : 5x\times{a}$

$A : B = 32x: 5ax$

Profit received Ratio is 8 : 15

ie., $32x:5ax=8:15$

$\frac{32x}{5ax}=\frac{8}{15}$

$\frac{32}{5a}=\frac{8}{15}$

$32\times{15}=5a\times{8}$

$5a=\frac{32\times{15}}{8}$

$a=\frac{4\times{15}}{5}$

$a=12 months$

B invested for 12 months.