P started a business investing Rs.9000. After 3 months, Q joined her with the capital of Rs.16000. After another 6 months, R joined them with the capital of Rs.20000. At the end of the year, they made a total profit of Rs.7800. Find the share of R.
P invested her capital for 12 months, Q for 9 months and R for 3 months. So, ratio of their capitals = (9000 × 12):(16000 × 9):(20000 × 3) ⇒ 108000 : 144000 : 60000 ⇒ 9 : 12 : 5 Therefore, R’s share = 7800 x (5/26) = Rs.1500
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