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P,Q and R share profit and losses in the ration of 4:3:2 respectively. Q retires and P and R decided to share future profits and losses in the ratio of 5:3. Then immediately H is admitted of 3/10 shares of profits half of which was gifted by P an remaining shares was taken by H equally form P and R. Calculate the new profit sharing ratio after H' admission and gain ratio of P and R. |
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Answer» Old ratio (P, Q and R) = 4 : 3 : 2 New Ratio (P and R) = 5 : 3 Gaining ratio = New ratio - Old ratio P's gain = (5/8) - (4/9) = 13/72 R's gain = (3/8) - (2/9) = 11/72 On H's admission : Old ratio (P and R) = 5 : 3 H is admitted for 3/10 shares P's sacrifice in favour of H = (3/10) x (3/4) = 9/40 ......(1/2 + 1/4 = 3/4) R's sacrifice in favour of H = (3/10) x (1/4) = 3/40 New ratio = Old ratio - sacrificing ratio P's new share = (5/8) - (9/40) = 16/40 R's new share = (3/8) - (3/40) = 12/40 H's share = P's sacrifice + R's sacrifice = (9/40) + (3/40) = 12/40 Therefore, new ratio of P, R and H is 16 : 12 : 12 or 4 : 3 : 3 |
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