Advertisements
Advertisements
प्रश्न
Find the difference between the compound interest compounded yearly and half-yearly on Rs. 10,000 for 18 months at 10% per annum.
Advertisements
उत्तर
Given: P = Rs. 10,000 ; n = 18 months = `1 1/2` year and r = 10% p.a.
For First year
I = `(10,000xx10xx1)/100`
= 1,000
A = 10,000 + 1,000
= 11,000
For Second year,
P = 11,000, r = 10%, n = `1/2` year
I = `(11,000xx10xx1/2)/100`
= 550
A2 = 11,000 + 550
= 11,550
C.I. = A – P
= 11,550 – 10,000
= 1,550
When interest is compounded half-yearly
`A = P (1 + r/200)^(nxx2)`
= `10,000 (1 + 10/200)^(3/cancel2 xxcancel2`
=`10,000 xx 21/20 xx 21/20 xx 21/20`
= `(105 xx 441)/4`
= `46305/4`
= 11576.25
Compound interest yearly = 11576.25 – 10,000
= 1576.25
Therefore, the difference between both C.I
= 1576.25 – 1,550
= 26.25
APPEARS IN
संबंधित प्रश्न
A man borrowed Rs.16,000 for 3 years under the following terms:
20% simple interest for the first 2 years.
20% C.I. for the remaining one year on the amount due after 2 years, the interest being compounded half-yearly.
Find the total amount to be paid at the end of the three years.
Ashok invests a certain sum of money at 20% per annum, compounded yearly. Geeta invests an equal amount of money at the same rate of interest per annum compounded half-yearly. If Geeta gets Rs. 33 more than Ashok in 18 months, calculate the money invested.
At what rate of interest per annum will a sum of Rs. 62,500 earn a compound interest of Rs. 5,100 in one year? The interest is to be compounded half yearly.
Calculate the C.I. on Rs. 3,500 at 6% per annum for 3 years, the interest being compounded half-yearly.
Do not use mathematical tables. Use the necessary information from the following:
(1.06)3 = 1.191016; (1.03)3 = 1.092727
(1.06)6 =1.418519; (1.03)6 = 1.194052
Find the difference between compound interest and simple interest on Rs. 12,000 and in `1 1/2` years at 10% compounded half-yearly.
A man borrows ₹ 4000 at 14% p.a., compound interest, being payable half-yearly. Find the amount he has to pay at the end of 1`(1)/(2)` years.
A man lends Rs 15000 at 10.5% per annum C.I., interest reckoned yearly, and another man lends the same sum at 10% per annum, interest being reckoned half-yearly. Who is the gainer at the end of one year and by how much?
A man borrows Rs.6500 at 10% per annum compound interest payable half-yearly. He repays Rs.2000 at the end of every six months. Calculate the amount outstanding at the end of the third payment. Give your answer to the nearest rupee.
Find the amount and the compound interest on the following :
Rs.25000 for 2 years at 6% per annum compounded semi-annually.
Find the amount and compound interest on Rs.50000 on 1`(1)/(2)` years at 8% p.a. compounded half-yearly.
