1.

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

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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