Question
'P' started a business with Rs. 8,000. After 'n' months, 'Q' joined the business investing Rs. 4,000 more than 'P'. At the end of 18 months since 'P' started the business, ratio of profit share of 'P' to 'Q' was 4:3. Find the value of 'n'.
Solution
Ratio of profit share of 'P' to 'Q'
= (8,000 × 18) : (12,000 × (18 − n))
= 12 : (18 − n) So,
12 : (18 − n) = 4 : 3 Or,
12 × 3 = 4 × (18 − n) Or,
36 = 72 − 4n Or,
4n = 36 Or,
n = 9
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