Posted by: Surajit P. on 09.06.2022
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Ans. 15 % p.a.
Explanation: Let, the actual rate of interest be r% p.a. and principal be Rs. 100.
So, in 1st case, after 2 yrs, the interest = Rs. 2r .
In 2nd case, rate of interest = (r + 6)% p.a.
By the problem, 2(r + 6) = (140/100)*2r . => 2r + 12 = 2.8r . => r = 15 .
Hence, the reqd. rate of interest = 15% p.a.
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Answer:
Let the principal = Rs 100
Let the original rate of simple interest = x %
Then the total simple interest on Rs 100 per 2 years = Rs 2x
The new interest rate is 6% more than ther original interest
Therfore the new rate of simple interest = (x+6)%
Hence total interest on 2 years per Rs 100 = 2(x+6)
It is given that the total interest with new rates is 40% more than the interest earned earlier.
Therfore 2(x+6) = (1.4)*2x
that is (2.8)x - 2x = 12
or (0.8) x = 12
Therfore x = 12/(0.8) = 15
Hence original rate of interest = 15%
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