Divide Rs. 7930 into 3 parts so that their amount after 2,3 and 4 years respectively may be equal, t

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22 Nov 2017 Simple Interest

Divide Rs. 7930 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 first part is

OPtion

1) 2640
2) 2530
3) 2760
4) 2630
5) 2520
6) 2780
7) 2650
8) 2540
9) 2750
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 = 7930
10k/11 + 20k/23 + 5k/6 = 7930
k = 3036
x = (10/11)*3036 = 2760
Hence, the first part is Rs. 2760

Correct Option: 3 Best Solution (0)