Ram deposited a certain sum of money in a company at 12%

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Ram deposited a certain sum of money in a company at 12% per annum simple interest for 4 years and deposited equal amount in fixed deposit in a bank for 5 years at 15% per annum simple interest. If the difference in the interest from two sources is ₹1350, then the sum deposited in each case is :

Let amount invested in each company be Rs. p.

SI =	Principal × Time × Rate
	100

According to the question,

p × 15 × 5	-	p × 12 × 4	= 1350
100		100

⇒	75p	-	48p	= 1350
	100		100

⇒ 27p /100 = 1350

⇒ p =	1350 × 100	= 5000
	27

Second method to solve this question :
Here, P₁ = Rs. P, R₁ = 12%, T₁ = 4 years , P₂ = Rs. P, R₂ = 15%, T₂ = 5 years , S.I. = Rs. 1350

SI =	P₂ × T₂ × R₂ - P₁ × T₁ × R₁
	100

1350 =	P × 15 × 5 - P × 12 × 4
	100

135000 = 75 P – 48P
135000 = 75 P
⇒ P = Rs. 5000