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BIRENDRA KUMAR

· started a discussion

· 1 Months ago

Q 84 (Question:110013.0)

Q IS WRONG

Question:

A sum of money at simple interest amount of Rs. 600 in 4 years and Rs. 650 in 6 years. The rate of interest per annum is:

Options:
A) 4.5%
B) 4%
C) 5%
D) Cannot be determine 
Solution:
Ans: (c) Suppose the rate of interest = r%

and the sum = Rs.A

Now \(A+\cfrac{A\times r \times4}{100}=600\)

or \(A+\cfrac{A r}{25}=600\)

or \(A\left [1+ \cfrac{r}{25} \right ]=600\) ........(i)

and \(A+\cfrac{A\times r \times6}{100}=650\)

or \(A\left [ 1+\cfrac{3r}{50} \right ]=650\) ..........(ii)

From equations (i) and (ii), we have

\(\cfrac{1+\cfrac{r}{25}}{1+\cfrac{3r}{50}}=\cfrac{600}{650}\)

or \(\cfrac{(25+r)\times2}{50+3r}=\cfrac{12}{13}\)

or (50+2r) x 13 = (50 + 3r) x 12

or 650 + 26r = 600 + 36r

10r = 50

\(\therefore\) r = 5%

Knowledge Expert

· commented

· 1 Months ago

Dear student,
Question is correct.
Keep learning,
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