Question
'P' invested Rs. 7,500 in a business. After 'n' months, 'Q' joined the business investing Rs. 2,500 more than 'P'. At the end of 20 months since 'P' started the business, ratio of profit share of 'P' to 'Q' was 3:2. Find the value of 'n'.
Solution
Ratio of profit share of 'P' to 'Q'
= (7,500 × 20) : (10,000 × (20 − n))
= 15 : (20 − n) So,
15 : (20 − n) = 3 : 2 Or,
15 × 2 = 3 × (20 − n) Or,
30 = 60 − 3n Or,
3n = 30 Or,
n = 10
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