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Solution
The correct option is A
₹241
Principal, P = ₹
10,000
Time, n = 2 years
Rate of interest, R = 20% per annum
Amount after 2 years, when interest is compounded annually
=P(1+R100)n=
10000×(1+20100)2=10000×(1210)2=
₹14400
Compound Interest for 2 years, when interest is compounded yearly
= ₹(14400 - 10000)
= ₹4,400
Amount after 2 years when interest is compounded half-yearly
=P(1+R200)2n=10000(1+202×100)2×2=10000(1+10100)4=10000(110100)4=10000×1110×1110×1110×1110=₹14641
Compound Interest for 2 years when interest is compounded half-yearly
= ₹(14641 - 10000)
= ₹4641
Difference in Compound interest
= ₹(4641 - 4400)
= ₹241
Textbooks
Question Papers
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What is the difference between the compound interest of 10000 for 1 year and 6 months at 4% per annum compounded annually and half yearly?
∴ Difference between interest compounded yearly and half yearly is Rs. 57.81.
What is the difference between the compound interest compounded yearly and the compounded half yearly for 18 months at 20?
∴ The difference between the compound interest compounded yearly and compounded half yearly for 18 months at 20% per annum on a sum of Rs. 12,000 is Rs. 132.
What is the difference between compound interest on 10000 for 1 1 2?
Summary: The amount and the compound interest on ₹ 10,000 for 112 1 1 2 years at 10% per annum, compounded half-yearly is ₹ 11576.25 and ₹ 1576.25 respectively. The interest will be less when compounded annually at the same rate.
What is the difference between the compound interests on 10000 for 2 years at 4% per annum compounded annually and half yearly?
10000; Rate = 2% per half-year; Time = 2 years = 4 half-years. Amount = Rs [10000 * 1+2/1004 ] = Rs10000 * 51/50 * 51/50 * 51/50 * 51/50 = Rs. 10824.32.
What is the difference between compound interest on Rs 10000?
The difference between the interest payable on a sum invested for three years at 20% compound interest per annum compounded annually and 20% simple interest per annum for the same period is ₹448.