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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 E - Mathematics

MCQ

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

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Solution

₹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

Concept: Simple and Compound Interest
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