Divide ₹6800 into two parts so that S.I. on the first

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Divide ₹6800 into two parts so that S.I. on the first part for 3 1 Years at 6% may be equal to
3

the interest on the second part for 3 1 Years at 4% Percent Per annum
3

Let the first part be p. then ,
second part = (6800 – p)

Interest on first part for 3	1	years at 6%
	3

=	p × 6 × ( 10/3 )	=	p
	100		5

Interest on second part for 3	1	years at 4%
	2

SI =	(6800 - p) × 4 × ( 7/2 )
	100

SI = ₹	(6800 - p) × 7
	50

According to the question,

p	=	(6800 - p) × 7
5	=	50

⇒ 10p = (6800 – p) 7
⇒ 10p = 47600 – 7p
⇒ 17p = 47600
⇒ p = 2800
Hence, first part = ₹ 2800
and second part = ₹ (6800 – 2800) = ₹ 4000.

Divide ₹6800 into two parts so that S.I. on the first part for 3	1	Years at 6% may be equal to
	3

the interest on the second part for 3	1	Years at 4% Percent Per annum
	3