English

Calculate the Amount and the Compound Interest on Rs. 10,000 in 3 Years at 8% per Annum.

Advertisements
Advertisements

Question

Calculate the amount and the compound interest on Rs. 10,000 in 3 years at 8% per annum.

Sum
Advertisements

Solution

Given:

  • Principal (P) = Rs. 10,000,
  • Rate (R) = 8% per annum,
  • Time (T) = 3 years.

`A=P(1+R/100)^T`

`A=10000(1+8/100)^3`

= 10,000 (1.08)3

Step 1: Calculate (1.08)3

(1.08)3 = 1.08 × 1.08 × 1.08 = 1.259712.

Step 2: Calculate the amount (A)

A = 10,000 × 1.259712 = Rs. 12,597.12.

Step 3: Calculate the compound interest

CI = A − P = 12,597.12 − 10,000 = Rs. 2,597.12.

  • Amount: Rs. 12,597.12,
  • Compound Interest: Rs. 2,597.12. ​
shaalaa.com
  Is there an error in this question or solution?
Chapter 9: Interest - Exercise 9 (C) [Page 114]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 9 Interest
Exercise 9 (C) | Q 4 | Page 114

RELATED QUESTIONS

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)


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.


The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1,089 and for the third year it is Rs. 1,197.90. Calculate the rate of interest and the sum of money.


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.


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.


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 ₹ 8,000 in three years and at 10% per annum.


A sum of Rs. 20,000 is borrowed by Heena for 2 years at an interest of 8% compounded annually. Find the Compound Interest (C.I.) and the amount she has to pay at the end of 2 years.

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 ______.


Find the difference between Compound Interest and Simple Interest on Rs 45,000 at 12% per annum for 5 years.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×