1.

A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 ∶ 10 ∶ 13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?1). 9 ∶ 13 ∶ 172). 18 ∶ 26 ∶ 353). 36 ∶ 52 ∶ 674). None of these

Answer»

Let the share of Sunil, Anil and jamil be x, y and z respectively.

Hence, x + y + z = 15525

22, 35 and 48 are DIMINISHED from the shares of x, y and z respectively

∴ Their share now is (x – 22),(y – 35) and (z – 48)

Total share = x + y + z – 22 – 35 – 48 = 15525 – 105 = 15420

It is given that from this total diminished share ratio of shares of Sunil, anil and Jamil is 7 ? 10 ? 13.

∴ Share of Sunil = 7/(7 + 10 + 13) × 15420 = 3598

∴ Share of Anil = 5140

And share of Jamil = 6682

∴ The original share for

Sunil is? x = 3598 + 22 = 3620

Anil is? y = 5140 + 35 = 5175

Jamil is? z = 6682 + 48 = 6730

Now 16, 77 and 37 is added respectively to x, y and z

Hence the new ratio = (3620 + 16) ? (5175 + 77) ? (6730 + 37) = 3636 ? 5252 ? 6767

∴ New ratio = 3636/101 ? 5252/101 ? 6767/101 = 36 ? 52 ? 67


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