If Rahim deposited the same amount of Rs. x in a bank at

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If Rahim deposited the same amount of Rs. x in a bank at the beginning of successive 3 years and the bank pays simple interest of 5% per annum, then the amount at his credit at the end of 3rd year will be :

1. Rs. 861x
  400
2. Rs. 1261x
  400
3. Rs. 21x
  20
4. Rs. 26481x
  8000
5. None of these

Correct Option: E

We can find SI with the help of given formula ,
S.I. after 1 year

S.I =	Principal × Time × Rate
	100

SI =	x × 5
	100

SI = Rs.	x
	20

Principal for 2nd year = Rs.		2x +	x		= Rs.	41x
			20			20

S.I. after second year = Rs.		41x	×	5
		20		100

S.I. after second year = Rs.	41x
	400

Principal for third year = Rs.		3x +	41x
			400

Principal for third year = Rs.		1200x + 41x
		400

Principal for third year = Rs.	1241x
	400

∴ S.I. after 3rd year = Rs.		1241x	×	5
		400		100

S.I. after 3rd year = Rs.	1241x
	8000

∴ Required amount = Rs.		3x +	1241x
			8000

Required amount = Rs.		24000x + 1241x
		8000

∴ Required amount = Rs.		25241x
		8000