What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?
Answers
Answer:
bhai mujhe rona aa raha hai please mujhe brainlist de do or ye raha aapka answer and question
Q.1
What is the difference between the compound interests on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
2.04
3.04
4.04
5.04
A) 2.04 B) 3.04
Hide Explanation
total amount after 1 ½ years when interest is compounded yearly.
= P(1 + r/100)¹× (1 + r/200)
= 5000(1 + 4/100) × (1 + 4/200)
= 5000(1 + 0.04)(1 + 0.02)
= 5000 × 1.04 × 1.02
= 5304 Rs.
so, compound interest = 5304 - 5000 = 304 Rs.
total amount after 1 ½ years when interest is compounded half yearly.
= P(1 + r/200)²ⁿ
= 5000(1 + 4/200)^(2 × 3/2)
= 5000(1 + 0.02)³
= 5000(1.02)³
= 5306.4 Rs.
compound interest = 5306.4 - 5000 = 306.4 Rs.
so, difference between them = 306.4 - 304 = 2.04 Rs.