P, Q and R enter into a partnership by investing Rs.5000, Rs.8000 and Rs.5600 respectively. After 4 months, P invested Rs.1400 more and Q withdraw the whole amount. And after another 5 months, R withdraws Rs.1200 and at the same time Q enters into a partnership by investing Rs.15,000. Find the difference between the shares of P and R, if the total profit at the end of the year is Rs.95310?
The shares of P, Q and R is [5000 × 4 + 6400 × 8] : [8000 × 4 + 15000 × 3] : [5600 × 9 + 4400 × 3] 71200 : 77000 : 63600 356 : 385 : 318 The difference between the shares of P and R = (356 – 318) × 95310/ 1059 = Rs.3420
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