Suppose x : y = 2 : 5; y : z = 4 : 7. If ₹15,120 is distributed among x, y and z, then the amounts received by x, y and z, respectively, are (in ₹):

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This question was previously asked in

RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 2)

Answer 1

Given:

x : y = 2 : 5

y : z = 4 : 7

Total Amount = ₹15,120

Formula used:

To combine two ratios, we use the Least Common Multiple (LCM) of the common term (y).

Final Ratio (x : y : z) = x : y : z after adjustment.

Distribution = Total Amount × (Individual ratio / Sum of all ratios)

Calculation:

x : y = 2 : 5, y : z = 4 : 7

x : y = 8 : 20, y : z = 20 : 35

⇒ Combined Ratio (x : y : z) = 8 : 20 : 35

Sum of Ratios = 8 + 20 + 35 = 63

Amount for x = ₹15,120 × (8 / 63)

⇒ Amount for x = ₹1920

Amount for y = ₹15,120 × (20 / 63)

⇒ Amount for y = ₹4800

Amount for z = ₹15,120 × (35 / 63)

⇒ Amount for z = ₹8400

∴ The amounts received by x, y, and z are ₹1920, ₹4800, and ₹8400 respectively.

The correct answer is option (2).

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