Question

Simple interest on an amount at 4% per annum for 13 months is more than the simple interest on the same sum for 8 months at 6% per annum by rs. 40. What is the principal amount?

Answer 1

the amount of principal will be 25.6

Answer 2

Given :

• Simple interest on the first amount is more than simple interest on the second amount.

To Find :

• Interest for 13 months at 4%
• Interest for 8 months at 6%
• The principal amount

Stepwise Answer :

For the first amount,

Interest per year = 4 %

interest per month = 4 ÷ 12 = 1/3 %

Interest for 13 months = 1/3 x 13 = 13/3 %

For the second amount,

interest per year = 6 %

interest per month = 6 ÷ 12 = 0.5 %

interest for 8 months = 0.5 x 8 = 4 %

Let the principal amount be x.

➻ 13/3% of x – 4% of x = 40

➻ 1/3 % of x = 40

➻ 1% of x = 120

➻ 100% of x = 120 x 100 = ₹ 12000

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