Divide Rs. 9516 into 3 parts so that their amount after 2,3 and 4 years respectively may be equal, t

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31 Oct 2018 Simple Interest

Divide Rs. 9516 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 product of first and third part is

OPtion

1) 10555232
2) 10054232
3) 10053232
4) 10052232
5) 10015232
6) 10055222
7) 10055212
8) 10055252
9) 10055232
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 = 16653
10k/11 + 20k/23 + 5k/6 = 9516
k = 3643.2
x*z = (10/11)*3643.2 * 5/6*3643.2= 10055232
Option 9)

Correct Option: 9 Best Solution (1)

Devendra Marghade   6 years AGO

Let the 3 parts be x, y and z, then
Amount x, y & z after 2, 3 & 4 years respectively which are same x + (x*2*5/100) = y + (y*3*5/100) = z + (z*4*5/100)
=> x + x/10 = y + 3y/20 = z + z/5 = K
=> x = 10K/11, y=20K/23, z=5K/6
As x+y+z=9516, so 10K/11 + 20K/23 + 5K/6 = 9516
Solving we get, K=3643.2
So the values are x=3312, y=3168, z=3036
Hence the product of first and third part=3312*3036=10055232
Option 9)

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