What will be the Sum? If

If the simple interest on a certain sum of money for 15 months at 7.5% p.a. exceeds the simple interest on the same sum for 8 months at 12.5% p.a. by Rs 32.50. The sum is :

  1. Rs 312
  2. Rs 312.50
  3. Rs 3120
  4. Rs 3120.50
vijay Professor Asked on 6th August 2015 in Maths.
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1 Answer(s)

Answer: (3) Rs.3120
Explanation:-
Let the sum be Rs.X.
According to the question,
X x 15 x 15 /12 x 2 x 100 – X x 8 x 25/2 x 12 x 100  = 32.50
X x 5 x 3 / 4 x 2 x 20 – X x 2 x 1 / 2 x 3 x 4  = 32.50
3 X / 32 – X / 12 = 32.50
(3 x 3 X – 8 X )/96 = 32.50
9 X – 8 X = 32.50 x 96
X = 3120
Then, the sum is Rs.3120
Hence, the answer is (3)Rs.3120

Anurag Mishra Professor Answered on 6th August 2015.
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