Question

Mr. Thomas invested an amount of ₹13900 divided in two different Schemes A and B at the simple interest rate of 14% per annum and 11% per annum, respectively. If the total amount of simple interest earned in 2 yr be ₹3508, what was the amount invested in Scheme B?

Options

• ₹6400

• ₹6500

• ₹7200

• ₹7500

Answer 1

₹6400

Explanation: 

Let the sum invested in Scheme A be ₹x and that in Scheme B be ₹(13900 - x).
Then,

`((x xx14xx2)/100)+(((13900-x)xx11xx2)/100)=3508`

⇒ `28"x"-22"x"=350800-(13900xx22)`

⇒ `6"x"=45000`

⇒  `"x"=7500`

So, sum invested in Scheme B
= ₹(13900 - 7500) = ₹6400