A man invests a part of 10,000 at 5% and the remainder at

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A man invests a part of 10,000 at 5% and the remainder at 6%. The 5% investment yields annually 76.50 more than the 6% investment . The amount invested at 6% is

1. 3,600
2. 3,550
3. 3,850
4. 4,000

Correct Option: C

Let the amount invested at 6% = ₹ x
∴ Amount invested at 5%
= (10000 – x )
According to the question

	(1000 - x) × 5	-	x × 5	= 76.50
	100		100

⇒ 50000 – 5x – 6x = 7650
⇒ 50000 – 11x = 7650
⇒ 11x = 50000 – 7650 = 42350

⇒ x =			42350		= ₹ 3850
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