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A sum of rupees 1000 is invested at 8% per year calculate the intrest at the end of each year do this intrest for first second third years form an AP if so find total intrest to be paid for 30years making the use of this fact
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Step-by-step explanation:
Simple Interest = P × R × T ÷ 100
So S.I in first yr. ⇒ P x R x T / 100
⇒ 1000 x 1 x 8 ÷ 100
⇒ 80
In second Yr. ⇒ 1000 x 2 x 8 ÷ 100
⇒ 160
Similarly in third Yr. ⇒ 240
So , we get the A.P. like this i.e. 80, 160, 240
Therefor a= 80 , d= 80.
we have to find out the interest at the end of 30 yr.
⇒ aa_{n}a
n
= a + ( n-1 ) d
⇒ 80 + ( 30 - 1 ) 80
⇒ 80 + 29 × 80
⇒ 2400
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