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Rs. 7750 is divided among X, Y and Z such that 3 times of X’s share is equal to 5 times of Y’s share which is equal to 2 times of Z’s share. What is the share (in Rs) of Z?
- A4250
- B3750
- C3875
- D4475
Answer not set
Discussion 1
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CCommunity
Let 3X = 5Y = 2Z = k
X = k/3, Y = k/5, Z = k/2
Sum of shares of all of them together = 7750
⇒ (k/3) + (k/5) + (k/2) = 7750
⇒ (10k + 6k + 15k)/30 = 7750
⇒ 31k = 7750 × 30
⇒ k = (7750 × 30/31) = 7500
∴ Share of Z = (k/2) = 7500/2 = Rs. 3750
X = k/3, Y = k/5, Z = k/2
Sum of shares of all of them together = 7750
⇒ (k/3) + (k/5) + (k/2) = 7750
⇒ (10k + 6k + 15k)/30 = 7750
⇒ 31k = 7750 × 30
⇒ k = (7750 × 30/31) = 7500
∴ Share of Z = (k/2) = 7500/2 = Rs. 3750