Question

the difference between ci and si for 3/2 years at 10%pa compounded half yearly is 76.25 find the sum​

Answer 1

Answer:

Interest compounded half yearly in this case means 5% interest at intervals of six months, or twice in a year.

Effective interest rate = A + B + AB/100

5 + 5 + 5x5/100 = 10.25%

Simple interest = 10%

Difference is 0.25% and is given as Rs 25.

=> 0.25/100 x s = 25

=> s = 25 x 100/0.25 = Rs 10,000

Check :

SI on 10000 @ 10% = Rs 1000

CI on 10,000 @ 10% compounded half yearly = Rs 1025

Difference = Rs 25

Note : This method is only for Aptitude Test Takers and not suitable for Homework for school kids.

If the interest componded half yearly, it becomes r/2 =10/2=5%

Now ₹ 25 is the interest on the interest that is gained after later half of the year (i.e 6 months.).

So, we can say 5% = 25, then 100% = 500

₹500 is the interest received after 6 months @ 5% .

as 5% = 500, 100% = 10000{sum}

We can generate a formula for this half yearly compounded i.e

=( 100/r/2)^2 × difference

Step-by-step explanation:

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Answer 2

Correct answer is ₹ 5000✓✓✓✓