Question
Neha and Nisha started a firm with investments of Rs. 7,200
and Rs. 10,800 respectively. Nisha withdrew her capital after a few months. The profit at year-end was shared in the ratio of 4:3. Find the number of months after which Nisha left.Solution
ATQ,
Let Nisha stayed in the business for 'n' months.
Profit ratio = (7,200 × 12) : (10,800 × n) = 86,400 : 10,800n
So, 86,400 : 10,800n = 4 : 3
⇒ 3 × 86,400 = 4 × 10,800n
⇒ 2,59,200 = 43,200n
⇒ n = 6
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