1.

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?1). 42502). 37503). 38754). 4475

Answer»

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


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