What sum will give ₹ 244 as the difference between simple

What sum will give ₹ 244 as the difference between simple interest and compound interest
at 10% in 1 1 years compounded half yearly ?
2

If Interest is compounded half yearly ,

Time =	3	years
	2

⇒ Time =	3	× 2 = 3 half years
	2

Rate =	10	= 5% per half year , Difference = C.I. - S.I. = ₹ 244
	2

[∵ when r → r/2, then t → 2t]
Using the given formula ,

Difference = P		r³	+	3r²
		1000000		10000

⇒ 244 = P		125	+	75
		1000000		10000

⇒ 244 = P		125 + 7500
		1000000

⇒ 244 = P		7625
		1000000

⇒ P =	244 × 1000000	= ₹ 32000
	7625