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Rs.5887 is divided between Shyam and Ram, such that Shyam’s share at the end of 9 years is equal to Ram’s share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam ?

Answer : C. 3087…
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Rs.5887 is divided between Shyam and Ram, such that Shyam’s share at the end of 9 years is equal to Ram’s share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam ?

A. 2088

B. 2000

C. 3087

D. None of these

Answer : C. 3087…

Explanation :

Shyam’s share * (1 + 0.05)9 = Ram’s share * (1 + 0.05)11
Shyam’s share / Ram’s share = (1 + 0.05)11 / (1 + 0.05)9
= (1 + 0.05)2
= 441/400
Therefore Shyam’s share = (441/841) * 5887
= 3087 .

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