मराठी

A Certain Sum Amounts to Rs. 5,292 in Two Years and Rs. 5,556.60 in Three Years, Interest Being Compounded Annually. Find : the Rate of Interest. - Mathematics

Advertisements
Advertisements

प्रश्न

A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find : the rate of interest.

बेरीज

उत्तर

Amount in two years= Rs. 5,292
Amount in three years= Rs. 5,556.60
Difference between the amounts of two successive years
= Rs. 5,556.60 - Rs. 5,292 = Rs. 264.60

⇒ Rs. 264.60 is the interest of one year on Rs. 5,292

∴ Rate of interest = Rs. `[ 100 xx "I"]/[ "P" xx "T"] %`
= `[ 100 xx 264.60 ]/[ 5,292 xx 1 ] %` 
= 5%

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Compound Interest (Without using formula) - Exercise 2 (C) [पृष्ठ ३८]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 2 Compound Interest (Without using formula)
Exercise 2 (C) | Q 3.1 | पृष्ठ ३८

संबंधित प्रश्‍न

Calculate the amount and compound interest on Rs 8000 for 1 year at 9% per annum compound half yearly. (You could use the year by year calculation using SI formula to verify)


Find the compound interest at the rate of 5% per annum for 3 years on that principal which in 3 years at the rate of 5% per annum gives Rs 1200 as simple interest.


In how much time would Rs 5000 amount to Rs 6655 at 10% per annum compound interest?


The difference between the S.I. and C.I. on a certain sum of money for 2 years at 4% per annum is Rs 20. Find the sum.


Kamala borrowed from Ratan a certain sum at a certain rate for two years simple interest. She lent this sum at the same rate to Hari for two years compound interest. At the end of two years she received Rs 210 as compound interest, but paid Rs 200 only as simple interest. Find the sum and the rate of interest.


A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find: the original sum.


Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate :
(i) the interest paid for the second year.
(ii) the total interest paid in two years.
(iii) the total amount of money paid in two years to clear the debt.


On a certain sum of money, invested at the rate of 10 percent per annum compounded annually, the interest for the first year plus the interest for the third year is Rs. 2,652. Find the sum.


A sum of Rs. 13,500 is invested at 16% per annum compound interest for 5years. Calculate :
(i) the interest for the first year.
(ii) the amount at the end of first year.
(iii) the interest for the second year, correct to the nearest rupee.


Saurabh invests Rs. 48,000 for 7 years at 10% per annum compound interest. Calculate:
(i) the interest for the first year.
(ii) the amount at the end of second year.
(iii) the interest for the third year.


Ashok borrowed Rs. 12,000 at some rate on compound interest. After a year, he paid back Rs.4,000. If the compound interest for the second year is Rs. 920, find:

  1. The rate of interest charged
  2. The amount of debt at the end of the second year

A sum of Rs. 8,000 is invested for 2 years at 10% per annum compound interest. Calculate:
(i) interest for the first year.
(ii) principal for the second year.
(iii) interest for the second year.
(iv) the final amount at the end of the second year
(v) compound interest earned in 2 years.


A man borrowed Rs. 20,000 for 2 years at 8% per year compound interest. Calculate :
(i) the interest of the first year.
(ii) the interest of the second year.
(iii) the final amount at the end of the second year.
(iv) the compound interest of two years.


Calculate the amount and the compound interest on Rs. 12,000 in 2 years and at 10% per year.


Calculate the compound interest on Rs. 5,000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.


Calculate the compound interest for the second year on Rs. 15000 invested for 5 years at 6% per annum.


Calculate the difference between the compound interest and the simple interest on ₹ 7,500 in two years and at 8% per annum.


Mr. Sharma lends ₹24,000 at 13% p.a. simple interest and an equal sum at 12% p.a. compound interest. Find the total interest earned by Mr. Sharma in 2 years.


The simple interest on a certain sum of money at 4% p.a. for 2 years is Rs1500. What will be the compound interest on the same sum for the same time?


The simple interest on a certain sum for 3 years at 4% is Rs 600. Find the compound interest for the same sum at the same percent and in the same time.


The compound interest on ₹ 5000 at 12% p.a for 2 years, compounded annually is ___________


The annual rate of growth in population of a town is 10%. If its present population is 26620, then the population 3 years ago was _________


If the present population of a city is P and it increases at the rate of r% p.a, then the population n years ago would be `"P"(1 + "r"/100)^"n"`


The time taken for ₹ 1000 to become ₹ 1331 at 20% p.a, compounded annually is 3 years


Find the compound interest on ₹ 3200 at 2.5% p.a for 2 years, compounded annually


Find the compound interest for `2 1/2` years on ₹ 4000 at 10% p.a, if the interest is compounded yearly


Suppose a certain sum doubles in 2 years at r % rate of simple interest per annum or at R% rate of interest per annum compounded annually. We have ______.


A sum is taken for two years at 16% p.a. If interest is compounded after every three months, the number of times for which interest is charged in 2 years is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×