22
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)?
- A29850
- B30120
- C31350
- D37250
Answer not set
Discussion 1
Log in or create a free account to reply and vote.
0
CCommunity
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
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