A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
4 months
5 months
6 months
8 months
Explanation:
Suppose B joined for $ x $ months. Then,
Then,$ \left(\dfrac{85000 \times 12}{42500 \times x} =\dfrac{3}{1} \right) $
$\Rightarrow x $ =$ \left(\dfrac{85000 \times 12}{42500 \times 3} \right) $= 8.
So, B joined for 8 months.