Rahim lent a sum to Anil at a simple interest of 10% per

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Rahim lent a sum to Anil at a simple interest of 10% per annum, and at the same time lent to Sunil a sum, which was Rs. 2000 more than the amount lent to Anil at the simple interest of 12% per annum. At the end of 3 years, both Anil and Sunil returned the principal and interest to Rahim. If Rahim got Rs. 1020 more interest from Sunil than that from Anil, how much did each borrow from Rahim ?

1. Rs. 2500, Rs. 4500
2. Rs. 4000, Rs. 6000
3. Rs. 5000, Rs. 7000
4. Rs. 6000, Rs. 8000

Let Sum given to Anil = Rs. p
Sum given to Sunil = Rs. (p + 2000)
We know that ,

SI =	Principal × Time × Rate
	100

⇒	(p + 2000) × 12 × 3	-	p × 10 × 3	= 1020
	100		100

⇒ 36p + 72000 – 30p = 102000
⇒ 6p = 102000 – 72000 = 30000
⇒ p = Rs. 5000
∴ Sum given to Sunil = 5000 + 2000 = Rs. 7000