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Rs. 60500 is divided among A, B and C such that A receives 2/9 as much as B and C together and B receives 3/7 of as much as A and C together. What is the share of C (in Rs)?1). 298502). 301203). 313504). 37250 |
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Answer» Let A, B and C’s share be a, b and c respectively From the problems statement ⇒ a = 2 × (b + c)/9 …(i) and ⇒ b = 3 × (a + c)/7….(II) given that total amount to be distributed is Rs. 60500 ⇒ a + b + c = 60500 …(iii) Put (i) in (ii) ⇒ b = 3 × ((2 × (b + c)/9) + c)/7 ⇒ b = (2b + 11C)/21 ⇒ 19b/11 = c …(iv) put (i) and (iv) in (iii) ⇒ 2 × (b + 19b/11)/9 + b + 19b/11 = 60500 ⇒ b = 60500 × 99/330 ⇒ b = 18150 Put this in (iv) ⇒ c = 19 × 18150/11 ⇒ c = 31350 ∴ C’s share is Rs. 31350 |
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