Advertisements
Advertisements
प्रश्न
Calculate the amount and the compound interest for the following, when cornpounded half-yearly:
Rs 6,000 for `1 1/2` years at 10 % p.a.
Advertisements
उत्तर
Rs 6,000 for `1 1/2` years at 10 % p.a.
P = Rs 6,000 ; t = `1 1/2` years ; r = 10 % p.a. = 5 % half-yearly.
`"A" = "P" (1 + "r"/100)^"n"`
A = Rs `6000 (1 + 5/100)^2 (1 + 10/100)^(1/2)`
= Rs 6000 × 1.05 × 1.05 × `(1 + 1/2 xx 10/100)`
= Rs 61 000 x 1.05 x 1.05 x 1. 05
= Rs 6945.75
C.l. = A - P
= Rs (6,945.75 - 6,000)
= Rs 945.75
Hence, Amount= Rs 6,945.75 and C.I. =Rs 945.75
संबंधित प्रश्न
The simple interest on a certain sum in 2 years is Rs 1,300, whereas the compound interest on the same sum at the same rate and for the same time is Rs 1,365. Find the rate per cent and the sum.
Meera borrowed Rs 35,000 at 12.5% p.a. simple interest for 3 years. She immediately gave it to Archana at 12 % p.a. compound interest compounded annually. Find Meera's loss or gain at the end of 3 years.
Find the difference betlween the compound interest compounded yearly and half-yearly for the following:
Rs 15,000 for `1 1/2` years at 12 % p.a.
On what sum will the difference between compound interest and the simple interest for 2 years at `7 1/2` % be Rs 22.50 ?
On what sum will the difference between compound interest and the simple interest for 3 years at 12% be Rs 1,123.20?
The population of a city is 1, 25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of the city after 3 years.
In a factory the production of scooters rose to 46,305 from 40,000 in 3 years. Find the annual rate of growth of the production of scooters.
The present population of a town is 1, 15200.If it increases at the rate of `6 2/3`% per annum , find
Its population after 2 years
Under the electrification programme of villages, the number of villages with electricity rose to 27,040 from 25,000 in 2 years. Find the rate of growth in the number of villages with electricity.
Find the Compound Interest on Rs. 2,000 for 3 years at 15% per annum Compounded annually.
