Advertisements
Advertisements
प्रश्न
In how many years ₹ 700 will amount to ₹ 847 at a compound interest rate of 10 p.c.p.a.
Advertisements
उत्तर
Here, P = Principal = ₹ 700
A = Amount = ₹ 847
R = 10 %
N = N years
A = P`(1 + "R"/100)^"N"`
∴ `847 = 700(1 + 10/100)^"N"`
∴ `847 = 700((100 + 10)/100)^"N"`
∴ `847 = 700(110/100)^"N"`
∴ `847 = 700(11/10)^"N"`
∴ `847/700 = (11/10)^"N"`
∴ `(121 xx 7)/(100 xx 7) = (11/10)^"N"`
∴ `121/100 = (11/10)^"N"`
∴ `(11/10)^2` = `(11/10)^"N"`
∴ N = 2 ...[If an = am, then n = m]
Hence, the number of years is 2 years.
संबंधित प्रश्न
Calculate the amount and compound interest on Rs 18000 for `2 1/2` years at 10% per annum compounded annually.
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.
During every financial year, the value of a machine depreciates by 12%. Find the original cost of a machine which depreciates by Rs. 2,640 during the second financial year of its purchase.
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.
A certain sum of money invested for 5 years at 8% p.a. simple interest earns an interest of ₹ 12,000. Find:
(i) the sum of money.
(ii) the compound interest earned by this money in two years and at 10% p.a. compound interest.
Find the difference between simple and compound interest on Rs 5000 invested for 3 years at 6% p.a., interest payable yearly.
The annual rate of growth in population of a town is 10%. If its present population is 26620, then the population 3 years ago was _________
The time taken for ₹ 4400 to become ₹ 4851 at 10%, compounded half yearly is _______
