Divide Rs. 6270 among A, B and C so that A shall receive 3/7 of as much as B and C together and B shall receive 2/9 of as much as A and C together:
Explanation:
Here the simple fact to recognize is to interpret the problem in terms of ratios. When A receives 3/7 of B + C, means, if B + C receive 1 Rs., then, A receives 3/7th of the rupee.
Thus, A/(B + C) = 3/7
⇒ A/(6270 - A) = 3/7
(∴ A + B + C = 6270)
⇒ A = Rs. 1881
Similarly. B/(A + C) = 2/9
⇒ B/(6270 - B) = 2/9
⇒ B = Rs. 1140
∴ C = Rs. 3249
Hence, option (d).
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