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?

A 1564

B 1600

C  1632

D 1714

Solution

Correct Answer: Option B

Explanation:

Let O's share = Rs. P

=> N's share = \(\frac{75}{100}\;\times\;\mathrm P\;=\;\frac{3\mathrm P}4\)

M's share = \(\frac54\;\times\;\frac{3\mathrm P}4\;=\;\frac{15\mathrm P}{16}\)

\(\begin{array}{l}\frac{15\mathrm P}{16}\;+\;\frac{3\mathrm P}4\;+\;\mathrm P\;=\;4300\\=>\;\mathrm P\;=\;4300\;\times\;\frac{16}{43}\;=\;1600\end{array}\)

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