Calculate the amount and compound interest on ₹ 10 ,800 for 3 years at 12 1 2 % per annum compounded annually.

Given, Principal amount ( P ) = 10800 Time = 3 years Rate = 25 2 % Thus, Amount is given by the formula: - P 1 + R 100 n ⇒ A = ₹ 10800 1 + 25 200 3 = ₹ 10800 225 200 3 = ₹ 10800 × 225 200 × 225 200 × 225 200 = ₹ 15377 .34375 = ₹ 15377 .34 Compound Interest = Amount in 3 years - Principal amount = ₹ ( 15377 .34 - 10800 ) = ₹ 4 ,577.34 Therefore, Compound Interest is ₹ 4 ,577.34

Calculate the amount and compound interest on ₹ 10 ,800 for 3 years at 12 1 2 % per annum compounded annually.

Given, Principal amount ( P ) = 10800 Time = 3 years Rate = 25 2 % Thus, Amount is given by the formula: - P 1 + R 100 n ⇒ A = ₹ 10800 1 + 25 200 3 = ₹ 10800 225 200 3 = ₹ 10800 × 225 200 × 225 200 × 225 200 = ₹ 15377 .34375 = ₹ 15377 .34 Compound Interest = Amount in 3 years - Principal amount = ₹ ( 15377 .34 - 10800 ) = ₹ 4 ,577.34 Therefore, Compound Interest is ₹ 4 ,577.34

Calculate the amount and compound interest on ₹ 18 ,000 for 2 1 2 years at 10 % per annum compounded annually.

Given, Principal amount = ₹ 18000 Rate of interest per annum = 10 % Time = 2 1 2 years The amount obtained at the end of 2 years and 6 months can be calculated in two steps: ( i ) Calculate the amount for 2 years using the compound interest formula, ( ii ) Calculate the simple interest for 6 months on the amount obtained at the end of 2 years. We know, The amount at the end of two years is given by: Amount = ₹ P + 1 + R 100 n = ₹ 18000 1 + 1 10 2 = ₹ 18000 × 11 10 × 11 10 = ₹ 21780 . Now take, the Simple Interest for the next will be calculated. Now take, P = ₹ 21780 , the Simple Interest for the next 1 2 year will be calculated. Simple Interest = P × R × T 100 = ₹ 21780 × 1 2 × 10 100 = ₹ 1089 &there4; Interest for the first 2 years , = ₹ ( 21780 - 18000 ) = ₹ 3780 And interest for the next 1 2 year = ₹ 1089 . ∴ T o t al C o m p o u n d I n t e r e s t = Interest in 2 years + Interest in next 1 2 years = ₹ 3780 + 1089 = ₹ 4 ,869 . and, the amount in 2 1 2 years is given as: Amount = Principal amount + Compound Interest = ₹ 18000 + ₹ 4869 = ₹ 22 ,869 . Hence, amount in 2 1 2 years is ₹ 22 , 869 and compound interest is ₹ 4 , 869 .

Calculate the amount and compound interest on ₹ 62 ,500 for 1 1 2 years at 8 % per annum compounded half-yearly.

Given, Principal amount ( P ) = ₹ 62500 Rate of interest ( R ) = 8 % Time ( T ) = 1 1 2 years There will be 3 half years in given 1 1 2 years. i.e. 3 2 years = 1 2 × 3 years = 3 half years We know that, A = P 1 + R 100 n ⇒ A = ₹ 62500 1 + 4 100 3 ⇒ A = ₹ 62500 × 26 25 × 26 25 × 26 25 ⇒ A = ₹ 70 , 304 Now, we know Amount = Principle + Compound interest then, Compound interest = Amount in 3 half years - Principle amount = ₹ 70304 - 62500 = ₹ 7 ,804 . Hence, the amount in 3 2 years is ₹ 70 , 304 and its compound interest is ₹ 7 , 804 .