Compute the amount and the compound interest in each of the following by using the formulae when, Principal = Rs. 10000, Rate =20% per annum compounded half-yearly, Time 2 years - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

Given,

Principal (P) = Rs 10 000 Rate (R) = 20 % p .a . compounded half yearly Time (T) = 2 years or 4 half years

The formula for compounded half yearly is,

A = P 1 + R 200 T ⇒ A = 10000 1 + 20200 4 ⇒ A = 100002202004 ⇒ A = Rs 14641

Compound interest,

C I = A − P ⇒ C I = 14641 10000 ⇒ C I = Rs 4641

Hence, the amount and compound interest are Rs.14641 and Rs.4641.
Hence, the correct option is 4.

Compute the amount and the compound interest in each of the following by using the formulae when, Principal = Rs. 10000, Rate $= 20 %$ per annum compounded half-yearly, Time 2 years