Equal sum of money are lent to X and Y at 7.5% per annum

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Equal sum of money are lent to X and Y at 7.5% per annum for a period of 4 years and 5 years respectively. If the difference in interest, paid by them was ₹150, the sum lent to each was

Let the sum lent be p.

∴	p × 7.5 × 5	-	p × 7.5 × 4	= 150
	100		100

⇒	p × 7.5 × 1	= 150
	100

⇒ p =	150 × 100	= ₹ 2000
	7.5

Second method to solve this question :
Here, P₁ = P, R₁ = 7.5%,
T₁ = 4 years. , P₂ = P, R₂ = 7.5% , T₂ = 5 years , S.I. = Rs. 150

SI =	P₂T₂ × R₂ - P₁T₁ × R₁
	100

150 =	P × 7.5 × 5 - P × 7.5 × 4
	100

15000 = 7.5P

P =	150000
	75

P = ₹ 2000