Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Let original value of machine = Rs. 100
For 1st year
P = Rs. 100; R = 12% and T = 1 year
Depreciation in 1st year = Rs `[100 xx 12 xx 1]/[100]` = Rs.12
Value at the end of 1st year = Rs. 100 - Rs. 12 = Rs. 88
For 2nd year
P = Rs. 88; R = 12% and T = 1 year
Depreciation in 2nd year = Rs.`[88 xx 12 xx 1]/[100]` = Rs. 10.56
When depreciation in 2nd year is Rs.10.56, original cost is Rs.100
When depreciation in 2nd year is Rs.2,640, original cost = `[100 xx 2640 ]/[10.56]` = Rs. 25,000
APPEARS IN
संबंधित प्रश्न
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.
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.
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 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.
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.
At what rate percent per annum will a sum of Rs 4000 yield compound interest of Rs 410 in 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.
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.
Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate :
(i) the interest paid for the second year.
(ii) the total interest paid in two years.
(iii) the total amount of money paid in two years to clear the debt.
Find the sum, invested at 10% compounded annually, on which the interest for the third year exceeds the interest of the first year by Rs. 252.
What sum will amount of Rs. 6,593.40 in 2 years at C.I. , if the rates are 10 per cent and 11 per cent for the two successive years ?
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, invested at the rate of 10 percent per annum compounded annually, the interest for the first year plus the interest for the third year is Rs. 2,652. Find the sum.
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.
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 ₹ 7,500 in two years and at 8% per annum.
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 _________
Find the compound interest for `2 1/2` years on ₹ 4000 at 10% p.a, if the interest is compounded yearly
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 time taken for ₹ 4400 to become ₹ 4851 at 10%, compounded half yearly is _______
The sum which amounts to ₹ 2662 at 10% p.a in 3 years, compounded yearly is _________
Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities.
- C > S
- C = S
- C < S
Then
Suppose a certain sum doubles in 2 years at r % rate of simple interest per annum or at R% rate of interest per annum compounded annually. We have ______.
Compound interest is the interest calculated on the previous year’s amount.
