English

Find the Amount and the Compound Interest on the Following : Rs.16000 for 3 Years at 10%, 8% and 6% for Successive Years. - Mathematics

Advertisements
Advertisements

Question

Find the amount and the compound interest on the following :
Rs.16000 for 3 years at 10%, 8% and 6% for successive years.

Sum
Advertisements

Solution

Rs.16000 for 3 years at 10%, 8% and 6% for successive years.
Here P = Rs.16000, t = 3 years, r = 10% , 8% , 6% successively.
Now, Amount
= `"P"(1 + "r"_1/100)(1 + "r"_2/100)(1 + "r"_3/100)`

= `16000(1 + 10/100)(1 + 8/100)(1 + 6/100)`

= `16000(11/10)(108/100)(106/100)`
= 20148.48
Hence, Amount = Rs.20148.48
Also, C.I.
= A - P
= Rs.20148.48 - Rs.16000
= Rs.4148.48.

shaalaa.com
Concept of Compound Interest - Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
  Is there an error in this question or solution?
Chapter 3: Compound Interest - Exercise 3.2

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 3 Compound Interest
Exercise 3.2 | Q 1.5

RELATED QUESTIONS

Calculate the amount and the compound interest for the following:

Rs.30,000 at 8°/o p.a. in `2 1/2` years


Calculate the amount and the compound interest for the following:

Rs.10,000 at 8°/o p.a. in `2 1/4` years


Simple interest on a sum of money for 2 years at 4% is Rs. 450. Find compound interest on the same sum and at the same rate for 1 year, if the interest is reckoned half yearly.


The value of a machine, purchased two years ago, depreciates at the annual rate of 10%. If its present value is Rs.97,200, find:

  1.   Its value after 2 years.
  2.   Its value when it was purchased.

Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively. Rajesh received Rs. 64 more than Anuj. Find the money lent by each and interest received.


A sum of money was invested for 3 years, interest being compounded annually. The rates for successive years were 10%, 15% and 18% respectively. If the compound interest for the second year amounted to Rs. 4,950, find the sum invested.


What sum will amount to Rs.10120 in 2 years at C.I. payable annually, if the rates are 10% and 15% for the successive years?


A man borrows Rs.20000 at 10% per annum compound interest payable annually. If he repays Rs.5000 at the end of the first year and Rs.10000 at the end of the second year; how much should he pay at the end of the third year in order to clear the account? Find the answer correct to the nearest rupee.


Find compound interest on Rs 31250 for 3 years, if the rates of interest for 1st,2nd and 3rd years be 8%, 10% and 12% respectively.


What principal will amount to Rs.15729 in two years, if the rate of interest for successive years are 5% and 7% respectively, the interest is being compounded annually.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×