Question

Ajay borrows rs. 1500 from two moneylenders. he pays interest at the rate of 12% per annum for one loan and at the rate of 14% per annum for the other. the total interest he pays for the entire year is rs. 186. how much does he borrow at the rate of 12%?

Answer 1

See image for answer

Answer 2

Answer: He borrowed Rs. 1200 at the rate of 12% p.a.

Step-by-step explanation:

Since we have given that

Principal amount borrowed from two moneylenders = Rs. 1500

First he pays interest at rate of 12% p.a.

Second he pays interest at rate of 14% p.a.

Total interest he pays for the entire year = Rs. 186

We will do it by "Mixture and Allegation":

So, it becomes.

                      1500

 12% of 1500            14% of 1500

     180                           210

                     186

---------------------------------------------------

 210-186          :         186-180

     24               :             6

      4                :             1

Therefore, the ratio will be 4:1.

so, we need to find the amount borrow at the rate of 12% p.a. is given by

$\frac{4}{5}\times 1500\\\\=Rs.1200$