Question

Gupta and Bansal enter into a partnership with their capitals in the ratio 5:6. At the end of 8 months, Gupta withdraws his capital. If they receive their shares of the profits in the ratio 5:9, find out how long Bansal's capital was invested in the business?

• A. 10 months
• B. 12 months
• C. 14 months
• D. 17 months
• E. None of the above

Answer 1

The correct option is B 12 months

Let, Bansal's capital be invested for x months
Then, we have $\frac{5\times 8}{6\times x}=\frac{5}{9}$
$\Rightarrow x=\frac{5\times 8\times 9}{6\times 5}=1month$
$\therefore$ Bansal's capital was invested for 12 months