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Durga Pradhyumna

· started a discussion

· 1 Months ago

It is 2.5%.

Rate of interest with CI=756 and SI=720 is 5%. Since CI-SI=36, which is interest on interest of 2nd year. So principal is 14400. And as given SI is 900 when R=T. Then R should be 2.5℅ to match the criteria.

Question:

The compound interest on a certain sum for 2 years is Rs.756 and SI (simple interest) is Rs.720. If the sum is invested such that the SI is Rs.900 and the number of years is equal to the rate percent per annum, find the rate percent.

Options:
A) 4
B) 5
C) 6
D) 10
Solution:
Ans: (b) Difference of C.I. for 2 years = 36

Hence Rs. 36 will be the interest on Rs. 360, then

\(\cfrac{36\times100}{360} = R \Rightarrow R\) = 10%

\(\therefore\) P = 3600

now, 

if r = t , SI = 900

then,

900 = \(\cfrac{3600\times r\times\ r }{100}\)

 

\(\Rightarrow\) r2 = 25


\(\Rightarrow\) r = 5%

Knowledge Expert

· commented

· 1 Months ago

Dear student
Given question and
solution both are correct.

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