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 ₹):

2,700, 6,000 and 6,420

2,500, 5,200 and 7,420

2,820, 4,500 and 7,800

1,920, 4,800 and 8,400

APEDIA

NTPC Graduate Tier 1

2025 • 05 Jun, 2025 • Shift-2

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 ₹):

Correct Answer

1,920, 4,800 and 8,400

Ratio Harmonization: To merge x:y and y:z, find a common multiple for 'y' (LCM of 5 and 4 is 20). Multiply the first ratio by 4 and the second by 5.Unified Alig......

💡 Analysis & Explanation

Ratio Harmonization ▼

To merge x:y and y:z, find a common multiple for 'y' (LCM of 5 and 4 is 20). Multiply the first ratio by 4 and the second by 5.

Unified Alignment ▼

x:y becomes 8:20, and y:z becomes 20:35. Hence, x:y:z = 8:20:35.

Summation Block ▼

The total proportionality units = 8 + 20 + 35 = 63 units, which equates to ₹15,120.

Value Determination ▼

1 unit value = 15120 / 63 = ₹240.

Final Distribution Output ▼

x = 8 * 240 = ₹1920; y = 20 * 240 = ₹4800; z = 35 * 240 = ₹8400.

Conclusion ▼

Option D correctly charts the exact distribution.

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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 ₹):