# 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?

• ₹6400

• ₹6500

• ₹7200

• ₹7500

#### 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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