English

On a Certain Sum of Money, Lent Out at C.I., Interests for First, Second and Third Years Are Rs. 1,500; Rs. 1,725 and Rs. 2,070 Respectively. - Mathematics

Advertisements
Advertisements

Question

On a certain sum of money, lent out at C.I., interests for first, second and third years are Rs. 1,500; Rs. 1,725 and Rs. 2,070 respectively. Find the rate of interest for the (i) second year (ii) third year.

Sum
Advertisements

Solution

Total interest obtained in the first year = Rs, 1500
lnterest for the second year - Total interest obtained in the first year
= Rs. 1725 - Rs. 1500
= Rs. 225

Rate of interest for the second year = `225/1500` x 100 = 15%

Interest for the third year - Interest for the second year
= Rs. 2,070 - Rs. 1,725
= Rs. 345

Rate of interest for the third year
= `345/[1,725]` x 100 = 20%

So, rate of interest for the second year and third year are 15% and 20% respectively.

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Compound Interest (Without using formula) - Exercise 2 (D) [Page 39]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 2 Compound Interest (Without using formula)
Exercise 2 (D) | Q 10 | Page 39

RELATED QUESTIONS

Calculate the amount and compound interest on Rs 10800 for 3 years at `12 1/2` % per annum compounded annually.


Calculate the amount and compound interest on  Rs 18000 for `2 1/2` years at 10% per annum compounded annually.

 


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% for three years on that principal which in three years at the rate of 5% per annum gives Rs 12000 as simple interest.


Simple interest on a sum of money for 2 years at \[6\frac{1}{2} %\] per annum is Rs 5200. What will be the compound interest on the sum at the same rate for the same period?


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.


Rachana borrowed a certain sum at the rate of 15% per annum. If she paid at the end of two years Rs 1290 as interest compounded annually, find the sum she borrowed.


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.


The difference in simple interest and compound interest on a certain sum of money at \[6\frac{2}{3} %\] per annum for 3 years is Rs 46. Determine the sum.


Mohit invests Rs. 8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate: 

  1. the rate of interest per annum.
  2. the amount at the end of the second year.
  3. the interest accrued in the third year.

The cost of a machine depreciated by Rs. 4,000 during the first year and by Rs. 3,600 during the second year. Calculate :

  1. The rate of depreciation.
  2. The original cost of the machine.
  3. Its cost at the end of the third year.

A man borrows Rs.10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 30% of the sum borrowed. How much money is left unpaid just after the second year ?


What sum will amount of Rs. 6,593.40 in 2 years at C.I. , if the rates are 10 per cent and 11 per cent for the two successive years ?


The value of a machine depreciated by 10% per year during the first two years and 15% per year during the third year. Express the total depreciation of the machine, as percent, during the three years.


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.


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.


Rohit borrowed ₹ 40,000 for 2 years at 10% per annum C.I. and Manish borrowed the same sum for the same time at 10.5% per annum simple interest. Which of these two gets less interest and by how much?


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.


Find the amount and the compound interest payable annually on the following :

Rs.25000 for 1`(1)/(2)` years at 10% per annum.


If the compound interest is calculated quarterly, the amount is found using the formula __________


Depreciation value is calculated by the formula, `"P"(1 - "r"/100)^"n"`


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


The compound interest on ₹ 16000 for 9 months at 20% p.a, compounded quarterly is ₹ 2522


Find the rate of compound interest at which a principal becomes 1.69 times itself in 2 years


The compound interest on Rs 50,000 at 4% per annum for 2 years compounded annually is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×