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What sum will amount to * 6,593.40 in 2 years at C.I., if the rates are 10 percent and 11 percent for the two successive years ?
Answers
Answered by
34
Answer:
5400
Step-by-step explanation:
Let the principal be x.
(i)
R = 10% p.a
Time = 1 year.
S.I = PTR/100
= (x * 10 * 1)/100
= 10x/100
= x/10
Amount after 1st year = (x + x/10)
= 11x/10
So, the principal for the 2nd year = (11/10)x.
(ii)
Given: Rate of interest = 11% P.a
Interest = (11x * 11 * 1)/1000
= 121x/100
Then:
Amount after 2nd year = (11/10)x + (121/1000)x
= (1221/1000)x
But, given amount = 6593.40.
⇒ (1221/1000)x = 6593.40
⇒ 1221x = 6593400
⇒ x = 5400
Therefore, the sum = 5400
Hope it helps!
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