# Calculate the Difference Between the Compound Interest and the Simple Interest on ₹ 7,500 in Two Years and at 8% per Annum. - Mathematics

Sum

Calculate the difference between the compound interest and the simple interest on ₹ 7,500 in two years and at 8% per annum.

#### Solution

Principal (P) = ₹7500

Rate (R) =  8% p.a.

Period (T) = 2 years

∴ Simple interest ="PRT"/100=(7500xx8xx2)/100

= ₹1200

Interest for the first year =(7500xx8xx1)/100

= ₹600

∴ Amount at the end of first year = P + S.I.

= ₹7500 + ₹600

= ₹8100

Principal for the second year = ₹8100

∴ Interest for the second year =(8100xx8xx1)/100

= ₹648

∴ Total C.I. for 2 years = ₹600 + ₹648

= ₹1248

∴ Difference between C.I. and S.I. for 2 years

= ₹1248 − ₹1200

= ₹48

Concept: Concept of Compound Interest
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 9 Interest
Exercise 9 (C) | Q 12 | Page 114