Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respe

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Question

Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?

Options:

A . Rs. 759

B . Rs. 792

C . Rs. 818

D . Rs. 828

Answer: Option D

Let the parts be x, y and [2379 - (x + y)]x + (x * 2 * 5/100) = y + (y * 3 * 5/100) = z + (z * 4 * 5/100)11x/10 = 23y/20 = 6z/5 = kx = 10k/11, y = 20k/23, z = 5k/6But x + y + z = 237910k/11 + 20k/23 + 5k/6 = 2379k = (2379 * 11 * 23 * 6)/3965 = (3 * 11 * 23 * 6)/5x = [10/11 * (3 * 11 * 23 * 6)/5] = 828Hence, the first part is Rs. 828.

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