मराठी

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.

Advertisements
Advertisements

प्रश्न

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.

बेरीज
Advertisements

उत्तर

Given: 
CI - SI = Rs 20
\[\left[ P \left( 1 + \frac{4}{100} \right)^2 - P \right] - \frac{P \times 4 \times 2}{100} = 20\]
\[P\left[ \left( 1 . {04}^2 - 1 \right) \right] - 0 . 08P = 20\]
0.0816 P - 0.08 P = 20
0.0016 P = 20
\[P = \frac{20}{0 . 0016}\]
 = 12, 500
Thus, the required sum is Rs 12, 500.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Compound Interest - Exercise 14.3 [पृष्ठ २०]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 8
पाठ 14 Compound Interest
Exercise 14.3 | Q 10 | पृष्ठ २०

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find the difference between the compound interest and simple interest. On a sum of Rs 50,000 at 10% per annum for 2 years.


Geeta borrowed Rs. 15,000 for 18 months at a certain rate of interest compounded semi-annually. If at the end of six months it amounted to Rs. 15,600; calculate :
(i) the rate of interest per annum.
(ii) the total amount of money that Geeta must pay at the end of 18 months in order to clear the account.


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.

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.


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.


Mohan borrowed Rs. 16,000 for 3 years at 5% per annum compound interest. Calculate the amount that Mohan will pay at the end of 3 years.


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 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 payable annually on a certain sum for 2 years is Rs 40.80 and the simple interest is Rs 40. Find the sum and the rate percent.


To calculate the growth of a bacteria if the rate of growth is known, the formula for calculation of amount in compound interest can be used.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×