Rs. 260200 is divided between Ram and Shyam so that the

Rs. 260200 is divided between Ram and Shyam so that the amount that Ram receives in 4 years is the same as that Shyam receives in 6 years. If the interest is compounded annually at the rate of 4% per annum then Ram’s share is

Let Ram’s share be Rs. y.
∴ Shyam’s share = Rs. (260200 – y)

A = P		1 +	R		^T
			100

According to question ,

⇒ y		1 +	R		⁴	= (260200 – y)		1 +	R		⁶
			100						100

⇒ y = (260200 – y)		1 +	4		²
			100

⇒ y = (260200 – y)		1 +	1		²
			25

⇒ y = (260200 – y)		26		²
		25

⇒ y = (260200 – y)	676
	625

⇒	625y	+ y = 260200
	676

⇒	625y + 676y	= 260200
	676

⇒	1301y	= 260200
	676

⇒ y =	260200 × 676	= Rs. 135200
	1301