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.
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
Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit’s profit in the transaction at the end of two years.
A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.
Find the sum due at the end of the first year.
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest ,
Find the amount at the end of third year.
Aryan borrowed a sum or Rs. 36,000 for `1 1/2` years at 10 % p.a. compound interest.
Find the amount he needs to return to clear the debt.
Mohan borrowed Rs 25,000 at 10% p.a. compound interest. If he pays back Rs 7,500 every year, find the amount of loan outstanding at the beginning of the fourth year.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 25,000 for 3 years at 8 % p.a.
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 difference between the simple interest and the compound interest on Rs. 4,000 in 2 years at 8% per annum compounded yearly.
A man borrows Rs. 6,000 at 5% C.I. per annum. If he repays Rs. 1,200 at the end of each year, find the amount of the loan outstanding at the beginning of the third year.
The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money.
