Advertisements
Advertisements
Question
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.
Advertisements
Solution
Let the value of the machine in the beginning = Rs. 100
For 1st year depreciation = 10% of Rs. 100 = Rs. 10
Value of machine for second year = 100 - 10 = Rs. 90
For 2nd year depreciation = 10% of 90 = Rs. 9
Value of machine for third year = 90 - 9 = Rs. 81
For 3rd year depreciation = 15% of 81 = Rs. 12.15
Value of machine at the end of third year = 81 - 12.15 = Rs. 68.85
Net depreciation = Rs. 100 - Rs. 68.85 = Rs. 31.15 or 31.15%.
APPEARS IN
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)
Rachana borrowed a certain sum at the rate of 15% per annum. If she paid at the end of two years Rs 1290 as interest compounded annually, find the sum she borrowed.
The interest on a sum of Rs 2000 is being compounded annually at the rate of 4% per annum. Find the period for which the compound interest is Rs 163.20.
The difference between the compound interest and simple interest on a certain sum for 2 years at 7.5% per annum is Rs 360. Find the sum.
The present population of a town is 28000. If it increases at the rate of 5% per annum, what will be its population after 2 years?
In how many years ₹ 700 will amount to ₹ 847 at a compound interest rate of 10 p.c.p.a.
A sum is invested at compound interest, compounded yearly. If the interest for two successive years is Rs. 5,700 and Rs. 7,410. calculate the rate of interest.
A certain sum of money is put at compound interest, compounded half-yearly. If the interest for two successive half-years are Rs. 650 and Rs. 760.50; find the rate of interest.
Mohit invests Rs. 8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate:
- the rate of interest per annum.
- the amount at the end of the second year.
- the interest accrued in the third year.
Calculate the compound interest on Rs. 5,000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.
Calculate the compound interest on Rs. 15,000 in 3 years; if the rates of interest for successive years be 6%, 8%, and 10% respectively.
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.
Calculate the difference between the compound interest and the simple interest on ₹ 7,500 in two years and at 8% per annum.
Calculate the difference between the compound interest and the simple interest on ₹ 8,000 in three years and at 10% per annum.
Find the amount and the compound interest payable annually on the following :
Rs.25000 for 1`(1)/(2)` years at 10% per annum.
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.
The difference between C.I. payable annually and S.I. on Rs.50,000 for two years is Rs.125 at the same rate of interest per annum. Find the rate of interest.
Find the compound interest on ₹ 3200 at 2.5% p.a for 2 years, compounded annually
Find the C.I. on ₹ 15000 for 3 years if the rates of interest are 15%, 20% and 25% for the I, II and III years respectively
The number of conversion periods in a year, if the interest on a principal is compounded every two months is ___________
The time taken for ₹ 4400 to become ₹ 4851 at 10%, compounded half yearly is _______
The cost of a machine is ₹ 18000 and it depreciates at `16 2/3 %` annually. Its value after 2 years will be ___________
The sum which amounts to ₹ 2662 at 10% p.a in 3 years, compounded yearly is _________
Compound interest is the interest calculated on the previous year’s amount.
