A certain sum of money amounts to ₹6780 in 2 years and

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A certain sum of money amounts to ₹6780 in 2 years and to ₹7360.50 in
3 1 Years. Find the sum and the rate of interest.
3

1. ₹ 6006 ; 6.4 Percent Per annum
2. ₹ 8006 ; 6.4 Percent Per annum
3. ₹ 5006 ; 5 Percent Per annum
4. ₹ 5506 ; 5 Percent Per annum

According to question ,

Principal + S.I. for 3	1	years = ₹ 7360.50 ....... (i)
	2

Principal + S.I. for 2 years = ₹ 6780 ...... (ii)
On subtracting equation (ii) from (i),

S.I. for 1	1	years = ₹ 580.50
	2

∴ S.I. for 2 years = ₹		580.50 × 2 × 2		= ₹ 774
		3

∴ Principal = (6780 – 774 ) = ₹ 6006

And, rate of interest =	774 × 100	= 6.4% per annum.
	6006 × 2

3	1	Years. Find the sum and the rate of interest.
	3