Rs. 1220 is divided among A,B,C and D, such that B's share is 5/9th of A's; C's share is 7/10th of B's and D has 1/3as much as B And C together . find A's share.
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Answer:
Rs.540
Step-by-step explanation:
B = 5A/9
C = 7B/10 = 7/10 * 5A/9 = 7A/18
D = 1/3(B+C) = 1/3 (5A/9 + 7A/18) = 1/3(17A/18) = 17A/54.
A + B + C + D = 1220
A + 5A/9 + 7A/18 + 17A/54 = 1220
[54A + 30A + 21A+17A]/54 = 1220
122A = 1220 * 54
A = 1220 * 54/122 = Rs. 540
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