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Divide Rs 16875 into two parts such that the interest at 7/2 % p.a. for 2 years on one part is equal to the other at 4 % p.a. for 5 years

Solution:
Your problem `->` Divide Rs 16875 into two parts such that the interest at 7/2 % p.a. for 2 years on one part is equal to the other at 4 % p.a. for 5 years


Let the Principal of one part = `X` Rs.

The Principal of second part = `( 16875 - X )` Rs.

For one part, `P = X` Rs., `R = 7/2 %, N = 2` years

`SI = (P*R*N)/100`

`SI = ( X * 7/2 * 2 ) / 100 = (7 * X)/100 ->(1)`

Now for second part, `P = ( 16875 - X ) Rs., R = 4 %, N = 5` years

`SI = (P*R*N)/100`

`SI = (( 16875 - X ) * 4 * 5 ) / 100 = (20 * ( 16875 - X ))/100 ->(2)`

Interest is the same as `(1) = (2)`

`=> (7 * X)/100 = (20 * ( 16875 - X ))/100`

`=> 7 X = 20 * ( 16875 - X )`

`=> 7 X = 20 * 16875 - 20 X`

`=> 27 X = 20 * 16875`

`=> X = (20 * 16875) / 27`

`=> X = 12500`

`:.`One part of Principal = Rs. `12500` and the second part = Rs. `( 16875 - 12500 )` = Rs. `4375`

The two parts are Rs. `12500` and Rs. `4375` .






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