Advertisements
Advertisements
प्रश्न
Find the difference between simple interest and compound interest on ₹ 20000 at 8 p.c.p.a.
Advertisements
उत्तर
Here, P = Principal = ₹ 20000
R = 8 %
N = 2 years
Simple interest (I):
Simple interest = `("P" xx "R" xx "N")/100`
= `(20000 xx 8 xx 2)/100`
= 3200
Compound Interest (I):
A = `"P" (1 + "R"/100)^"N"`
= `20000(1 + 8/100)^2`
= `20000((100 + 8)/100)^2`
= `20000(108/100)^2`
= `20000 ((27 xx 4)/(25 xx 4))^2`
= `20000(27/25)^2`
= `20000 xx 27/25 xx 27/25`
= 32 × 27 × 27
= 23328
Compound interest
= Amount (A) – Principal (P)
= 23328 – 20000
= 3328
Difference:
= Compound interest – Simple interest
= 3328 – 3200
= 128
Hence, the difference between simple interest and compound interest is ₹ 128.
संबंधित प्रश्न
The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. what would be its population in 2005?
In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 2000, Rate = 4 paise per rupee per annum, Time = 3 years
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 12800, Rate = \[7\frac{1}{2} %\], Time = 3 years
The difference between the compound interest and simple interest on a certain sum at 15% per annum for 3 years is Rs 283.50. Find the sum.
The count of bacteria in a culture grows by 10% in the first hour, decreases by 8% in the second hour and again increases by 12% in the third hour. If the count of bacteria in the sample is 13125000, what will be the count of bacteria after 3 hours?
Ms. Cherian purchased a boat for Rs 16000. If the total cost of the boat is depreciating at the rate of 5% per annum, calculate its value after 2 years.
The value of a machine depreciates at the rate of 10% per annum. What will be its value 2 years hence, if the present value is Rs 100000? Also, find the total depreciation during this period.
A principal amounts to ₹ 13,924 in 2 years by compound interest at 18 p.c.p.a. Find the principal.
The population of a suburb is 16000. Find the rate of increase in the population if the population after two years is 17640.
