A certain sum (in ₹)is invested at simple interest at x% p.a. for 5 years. Had it been invested at (x + 5)% p.a., the simple interest would have been ₹9,200 more than the earlier one. What is the sum?

₹36,800

By using formula ,

Simple Interest = \(\frac{Principal ×Rate × Time }{100}\)

Let principal = P

ATQ,

\(\frac{P × (x+5) × 5 }{100}\)  -  \(\frac{P × x × 5 }{100}\) = 9200

5× P× x + 25× P - 5× P× x  = 92000

P = \(\frac{920000 }{25 }\)  = 36800

So , Sum is 36800.