A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

Q: A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

Let O's share = Rs. P => N's share = 75 100 x P = 3 P 4 M's share = 5 4 x 3 P 4 = 15 P 16 15 P 16 + 3 P 4 + P = 4300 = > P = 4300 x 16 43 = 1600

1564
1600
1632
1714

Correct Answer: 1600

Explanation:

Let O's share = Rs. P

=> N's share = $\frac{75}{100} x P = \frac{3 P}{4}$

M's share = $\frac{5}{4} x \frac{3 P}{4} = \frac{15 P}{16}$

$\frac{15 P}{16} + \frac{3 P}{4} + P = 4300 = > P = 4300 x \frac{16}{43} = 1600$

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