A lent 5000 Rs. to B for 2 years and 3000 Rs. to C for 4 years on simple interest at the same rate of interest and received 2200 Rs. in all from both as interest. The rate of interest per annum is :
Q. A lent 5000 Rs. to B for 2 years and 3000 Rs. to C for 4 years on simple interest at the same rate of interest and received 2200 Rs. in all from both as interest. The rate of interest per annum is :
Answer: 10%
Notes: Let the rate of the interest per annum be r% According to the question, $latex \frac{5000\times 2\times r}{100}+\frac{3000\times 4\times r}{100} = 2200&s=1$ $latex => 100r +120r = 2200&s=1$ $latex => 220r = 2200&s=1$ $latex => r = \frac{2200}{220} = 10\%&s=1$ Hence option [B] is the right answer.