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Rs. 5,625 is dividend among A,B and C so that A receives one half as much as B and C together receive and B receives one fourth of what A and C together receive. Find the share of A,b and c. |
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Answer» Given A + B + C = 5625 … (1) And A = \(\frac{1}{2}\)(B + C) ⇒ 2A = B + C … (2) Also B = \(\frac{1}{4}\)(A + C) ⇒ 4B = A + C … (3) From 1 and 2 we have A + B + C = 5625 ⇒ A + 2A = 5625 ⇒ 3A = 5625 ⇒ A = Rs.1875 Again from 1 and 3 we get B+ 4B = 5625 ⇒ 5B = 5625 ⇒ B = Rs.1125 ∴ from eqn (1) c = 5625 – A – B = 5625 – 1875.1125 = 2625 Rs. ∴ A’s share is 1875 B’s share is 1125, c’s share 2625 |
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