Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
Case I :
Here P = Rs.15000 and r = 10.5%
So, Amount after 1 year
= `"P"(1 + "r"/100)`
= `15000(1 + 10.5/100)`
= `15000 xx (110.5)/(100)`
= 16575
Case II :
Here P1 = Rs.15000 and rate of intees for half year (r) = 5%
So, Amount after `(1)/(2)` year
= `"P"(1 + "r"/100)`
= `15000 (1 + 5/100)`
= `15000 xx (105)/(100)`
= 15750
Thus, P2 = Rs.15750 and r = 5%
Amount after 1 year
= `"P"(1 + "r"/100)`
= `15750(1 + 5/100)`
= `15750 xx (105)/(100)`
= 16537.50
Hence the first man gains by Rs.16575 - Rs.16537.50
= Rs.37.50.
APPEARS IN
संबंधित प्रश्न
What sum of money will amount to Rs. 27,783 in one and a half years at 10% per annum compounded half yearly?
In what time will Rs. 1,500 yield Rs. 496.50 as compound interest at 20% per year 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.
Find the amount and the compound interest payable annually on the following :
Rs.24000 for 1`(1)/(2)` years at 7`(1)/(2)`% per annum.
[Hint : 1 year 146 days = `1(146)/(365)"year" = 1(2)/(5)"year"`]
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.
Calculate the amount and compound interest to the nearest rupee on Rs 42000 for 2 years at 8% per annum, interest being payable half-yearly.
Find the amount and the compound interest on the following :
Rs.15000 for 2years at 8% per annum compounded semi-annually.
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.
