Question

c) 500 for 6 months at 4% per annum​

Answer 1

Step-by-step explanation:

★Rate of Interst ( R ) = 4% .

★Principal ( P ) = Rs 500.

★Time = 6months = 1/2 years .

From the data lets Calculate Simple Interest and Compound Interest .

✤ Simple Interest :-

Formula :- $\boxed{\red{\bf \dag SI = \dfrac{P\times R\times T}{100}}}$

=> SI = P × R × T / 100.

=> SI = Rs 500 × ½ × 4 / 100.

=> SI = Rs 500 × 4 / 2 × 100.

=> SI = Rs 5 × 2

=> SI = Rs 10.

Hence the Simple Interest is Rs 10.

=> Amount = SI + principal

=> Amount = Rs 10 + Rs 500.

=> Amount = Rs 510.

$\rule{200}2$

✤ Compound Interest :-

Formula :- $\boxed{\red{\bf \dag CI = P\bigg(1+\dfrac{R}{100}\bigg)^n - P }}$

=> CI = P( 1 + R/100 )ⁿ - P.

=> CI = Rs 500 ( 1 + 4/100)^½ - Rs 500.

=> CI = Rs 500 ( 100 + 4/100)^½ - Rs 500.

=> CI = Rs 500 ( 104/100)^1/2 - Rs 500.

=> CI = Rs 500 √104/100 - Rs 500.

=> CI = Rs 500/10 × √104 - Rs500.

=> CI = Rs 50 × 10.9 - Rs 500.

=> CI = Rs 509.5 - Rs 500

=> CI = Rs 9.5. ( approx.)

Hence the compound interest is Rs 9.5 ≈ Rs 10.