Advertisements
Advertisements
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.
उत्तर
The extra interest earned = C. I. - S. I. = Rs ( 1,365 - 1,300) = Rs 65.
The interest for the first year = S. I. for 2 years/ 2 =Rs `1300/2` = Rs 650
Therefore, the rate of interest = `65/650 xx 100 = 10 %`
Now ,
S.I. = `("P" xx "r" xx "t")/100`
⇒ Rs 1300 = `("P" xx 10 xx 2)/100`
⇒ p = Rs 1300 x 5
⇒ P = Rs 6500
The rate of interest was 10 % and the original sum was Rs 6,500.
APPEARS IN
संबंधित प्रश्न
The simple interest and the compound interest on a certain sum of money for 2 years at the same rate of interest are Rs 8,000 and Rs 8,640 respectively. Calculate the rate of interest and the sum.
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.
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.
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.
The present population of a town is 1,
0/o per annum 1, 15,200. If it increases at the rate of `6 2/3` % per annum find
Its population 2 years ago.
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 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 amounts to ₹ 2,240 at 4 % p.a., simple interest in 3 years. Find the interest on the same sum for 6 months at 3`(1)/(2)`% p.a.
