# What sum will give Rs. 732 as the difference between simple interest a

| What sum will give Rs. 732 as the difference between simple interest and compound interest at 10% in years compounded half yearly?

A. Rs. 120,000

B. Rs. 108,000

C. Rs. 96,000

D. Rs. 84,000

### Right Answer is: C

#### SOLUTION

As we are compounding half yearly, r = 10/2 = 5%, t = 3 half years

⇒ CI = 1.157625P – P

⇒ CI = 0.157625P

⇒ SI = 0.15P

CI – SI = 0.007625P

0.007625P = 732

⇒ P = 96000

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What sum will give Rs. 732 as the difference between simple interest a