Advertisements
Advertisements
प्रश्न
On what sum will the difference between compound interest and the simple interest for 3 years at 12% be Rs 1,123.20?
Advertisements
उत्तर
P = x ; t = 3 years ; r = 12 % For S.I.:
I = `("P" xx "r" xx "t")/100`
`= ("x" xx 12 xx 3)/100`
`= (9"x")/25`
For C.I. :
C.I. = `"P" (1 + "r"/100)^"t" - "P"`
`= "x" (1 + 12/100)^3 - "x"`
`= "x" (1 + 3/25)^3 - "x"`
= (x × 1.12 × 1.12 × 1.12) - x
=1. 404928x - x
= 0.404928 x
Given C.1.- S. I. = Rs 22.50
⇒ 0.404928 x - `(9"x")/25` = Rs 1123.20
⇒ 0.404928 x - 0.36 x = Rs 1123.20
⇒ 0.044928 x = Rs 1123.20
⇒ x = Rs 25000
Hence, sum = Rs 25,000
संबंधित प्रश्न
Calculate the Amount and Cornpound Interest for the Following, when Cornpounded Annually:
Rs 12,000 for 3 years at 15 % p.a.
Calculate the amount and the compouncl interest of the following:
Rs 9,125 for 2 years if tl1e rates of interest are 12% and 14 % for the successive years.
The population of a town in the year 2005 was 4, 25,000. Find its population in the year 2007 if the rate of annual increase is 4% per year.
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 population of a city is 24,000. In the next 3 years it will be 27,783. Find the rate of growth of the population.
The value of a property decreases every year at the rate of 5%. If its value at the end of 3 years be Rs 44,540, what was the original value at the beginning of these 3 years?
The cost of a T.V. was quoted Rs 17,000 at the beginning of the year 1999. In the beginning of 2000 the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What is the cost of the T.V. in 2001?
A mango tree was planted 3 years ago. The rate of growth is 20% per annum. If at present, the height of the tree is 1 m 8 cm, how high was it when planted?
Find the Compound Interest on Rs. 2,000 for 3 years at 15% per annum Compounded annually.
A sum of money is lent out at compound interest for two years at 20% p.a., being reckoned yearly. If the same sum of the money was lent Gut at compound interest of the same rate of percent per annum C.I., being reckoned half yearly would have fetched Rs. 482 more by way of interest. Calculate the sum of money lent out.
