Advertisements
Advertisements
प्रश्न
A manufacturer estimates that his machine depreciates by 15% of its value at the beginning of the year. Find the original value (cost) of the machine, if it depreciates by Rs. 5,355 during the second year.
Advertisements
उत्तर
Let the original cost of the machine = Rs. 100.
∴ Depreciation during the 1st year = 15% of Rs. 100 = Rs, 15.
Value of the machine at the beginning of the 2nd year
= Rs.100 - Rs.15 = Rs. 85
∴ Depreciation during the 2nd year = 15% of Rs. 85 = Rs. 12.75
Now, when depreciation during 2nd year = Rs, 12.75,
original cost = Rs. 100
∴ when depreciation during 2nd year = Rs. 5,355.
Original cost = Rs. `100/12.75 xx 5,355` = Rs. 42,000.
Hence, original cost of the machine is Rs. 42,000.
APPEARS IN
संबंधित प्रश्न
If a, b, c are in continued proportion, prove that (a + b + c) (a – b + c) = a2 + b2 + c2
Calculate the amount and the compound interest for the following:
Rs. 7500 at 12% p.a. in 3 years.
Neena's savings increases by Rs 1,000 every year. If she saves Rs 4,000 in the first year and invests it at 15% compound interest, find her total savings at the end of the third year.
Rs.16,000 is invested at 5% compound interest compounded per annum. Use the table, given below, to find the amount in 4 years.
| Year ↓ |
Initial amount (Rs.) |
Interest (Rs.) |
Final amount (Rs.) |
| 1st | 16,000 | 800 | 16,800 |
| 2nd | ........... | ........... | ........... |
| 3rd | ........... | ........... | ........... |
| 4th | ........... | ........... | ........... |
| 5th | ........... | ........... | ........... |
Calculate the amount and the compound interest on:
Rs. 16,000 in 3 years, when the rates of the interest for successive years are 10%, 14% and 15% respectively.
A borrowed Rs. 2,500 from B at 12% per annum compound interest. After 2 years, A gave Rs. 2,936 and a watch to B to clear the account. Find the cost of the watch.
A man lends Rs. 12,500 at 12% for the first year, at 15% for the second year and at 18% for the third year. If the rates of interest are compounded yearly ; find the difference between the C.I. fo the first year and the compound interest for the third year.
A man invests ₹ 5,600 at 14% per annum compound interest for 2 years. Calculate:
- the interest for the first year.
- the amount at the end of the first year.
- the interest for the second year, correct to the nearest rupee.
A man saves Rs. 3,000 every year and invests it at the end of the year at 10% compound interest. Calculate the total amount of his savings at the end of the third years.
The population of a town 2 years ago was 62,500. Due to migration to cities, it decreases at the rate of 4% per annum. Find its present population.
