Question

Please solve this sum​

Answer 1

Answer:

Money lent at 4% p.a. is ₹ 27,17,687.5 .

Step-by-step explanation:

We are given that a man lends a certain amount of money at 4% p.a. He also invests ₹1,56,500 at $4\frac{1}{2}$% p.a. and the total interest at the end of year is ₹1,15,750.

Firstly let the amount of money that a man lend at 4% p.a. be ₹ x .

Amount of interest on this amount at the end of year = 4% of ₹x = 0.04*x

Amount of interest on ₹1,56,500 at $4\frac{1}{2}$% p.a. = $4\frac{1}{2}$% of ₹1,56,500

                                                                         = $\frac{9}{2}$% * ₹1,56,500

                                                                         = $\frac{9*1,56,500}{2*100}$ = $\frac{14085}{2}$ = 7042.5

Total Amount of interest = ₹ 1,15,750

             0.04*x + 7042.5 = 1,15,750

              0.04*x = 108707.5

                    x    =  $\frac{108707.5}{0.04}$ = 27,17,687.5 ≈ ₹ 27,17,688

Therefore, money lent at 4% p.a. is ₹ 27,17,687.5 .