P starts a business with Rs 2000. Q joins him after 3 months with Rs 4000. R invests a sum of Rs 10,000 in the business for 2 months only.… — Answer & Discussion

P starts a business with Rs 2000. Q joins him after 3 months with Rs 4000. R invests a sum of Rs 10,000 in the business for 2 months only. At the end of the year the business gave a profit of Rs 1,12,000. What should the profit of R?

ARs 28,000
BRs 38,000
CRs 42,000
DRs 19,000

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Discussion 1

CCommunity01 Jun 2019

Ratio of profit of P, Q and R

= Capital invested × times period of investing

⇒ P : Q : R = 2000 × 12 : 4000 × 9 : 10,000 × 2

⇒ P : Q : R = 6 : 9 : 5

According to the question,

Total profit = 1,12,000

∴ Profit of $(R = \frac{5}{{\left( {6 + 9 + 5} \right)}} \times 112000)$

= Rs 28,000