Find the difference between simple interest and compound interest on ₹ 20000 at 8 p.c.p.a.
Answers
compound interest is based on the amount and the intrest that accumulates on it in every period.
Answer:
Rs 128 in two years
Step-by-step explanation:
Find the difference between simple interest and compound interest on ₹ 20000 at 8 p.c.p.a.
To find the difference between compound interest & simple interest we should know the time period as well
Let say for two years
For first Year Simple interest = Compound interest
Interest for first year = 20000 * 8 * 1 /100 = Rs 1600
Simple interest for second year would be Rs 1600 again
But for compound interest interest will be calculate on Priciple + first year interest = 20000 + 1600
Interest = 21600 * 8 * 1/100 = 1728
Simple interest earned in two years = 1600 + 1600 = Rs 3200
Compound interest earned in two years = 1600 + 1728 = Rs 3328
Difference = 3328 - 3200 = Rs 128
Another way
Simple interest for two years = 20000 * 8 * 2/100 = Rs 3200
Compound interest for two Years = 20000(1 + 8/100)² - 20000
= 20000( 1.08² - 1)
= 20000 * 2.08 * .08
= 3328 Rs
Difference = 3328 - 3200 = Rs 128