Question

At same rate of simple interest,A lent Rupees 6000 to B for 2 years and Rupees 1500 to C for 4 years and received rupees 900 as interest from both of them together. The rate of interest per annum was.

a) 5%
b) 6%
c) 8%
d) 10%


Option a) 5% is the correct answer...​

Answer 1

Step-by-step explanation:

5%

If rate of interest be R% p.a. then,

S.I. = \frac{Principal\times Time\times Rate}{100}

\therefore \frac{6000\times 2\times R}{100}+\frac{1500\times 4\times R}{100}=900

=>120R+60R=900

=>180R=900

=>R=\frac{900}{180}= 5%

Hence option [A] is the right answer.

Answer 2

Step-by-step explanation:

If rate of interest be R% p.a. then,

S.I. = Principal× Time× Rate/100

6000×2×R/100 + 1500×4 × R/100= 900

120R + 60R = 900

180R= 900

R= 900/180

Rate = 5%

hope it helps.....