Rs. 16,820 is divided between two brothers of age 27 years

Rs. 16,820 is divided between two brothers of age 27 years and 25 years. They invested their money at 5% per annum compound interest in such a way that both will receive equal money at the age of 40 years. The share (in Rs.) of elder brother is

Suppose Share of elder brother = Rs. y
∴ Share of younger brother = Rs. (16820 – y)
Using the given formula ,

A = P		1 +	R		_T
			100

According to the question,

y		1 +	5		₁₃	= (16820 – y)		1 +	5		₁₅
			100						100

⇒ y = (16820 – y)		1 +	1		₂
			20

⇒ y = (16820 – y)		21		₂
		20

⇒ y = (16820 – y)		21		₂
		20

⇒		21		₂	y = 16820 – y
		20

⇒	400y	+ y = 16820
	441

⇒	400y + 441y	= 16820
	441

⇒ 841y = 16820 × 441

⇒ y =	16820 × 441	= Rs. 8820
	841