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A sum of Rs.1000 is invested …

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A sum of Rs.1000 is invested at 8% simple interest per year. Calculate the interest at end of each year. Do these interests form AP? If so find the interest at the end of 30 years making use of this fact.

Posted by Eucharist Lover 4 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 4 years, 10 months ago

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.
⇒ a = a + ( n-1 ) d
⇒ 80 + ( 30 - 1 ) 80
⇒ 80 + 29 × 80
⇒ 2400
There fore , the Interest at the end of 30 yrs is 2400

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