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Question
The simple interest on a certain sum for 2.5 years at 12 per cent per annum is ₹ 300 less than the simple interest on the same sum for 4.5 years at 8 per cent per annum. Find the sum.
Solution
Let the sum be ₹ P
Interest for 2.5 years at 12% per annum
= `(P xx 12 xx 2.5)/100 = 3/10`P
Interest for 4.5 years at 8% per annum
= `(P xx 8/100 xx 4.5)/100 = 9/25`P
According to question,
`3/10`P = `9/25`P – 300
⇒ `(9/25 - 3/10)`P = 300
⇒ `((36 - 30))/100`P = 300
⇒ `6/100`P = 300
⇒ P = `(300 xx 100)/6` = 5000
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