Divide Rs. 5551 into 3 parts so that their amount after 2,3 and 4 years respectively may be equal, t

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08 Feb 2018 Simple Interest

Divide Rs. 5551 into 3 parts so that their amount after 2,3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The second part is

OPtion

1) 1771
2) 1846
3) 1934
4) 1773
5) 1848
6) 1930
7) 1775
8) 1844
9) 1932
10) None of these

Solution

Let the parts be x, y and z
x + (x * 2 * 5/100) = y + (y * 3 * 5/100) = z + (z * 4 * 5/100)
11x/10 = 23y/20 = 6z/5 = k
x = 10k/11, y = 20k/23, z = 5k/6
But x + y + z = 5551
10k/11 + 20k/23 + 5k/6 = 5551
k = 2125.2
y = (20/23)*2125.2 = 1848
Hence, the second part is Rs. 1848

Correct Option: 5 Best Solution (0)