Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
If a, b, c are in continued proportion, prove that (a + b + c) (a – b + c) = a2 + b2 + c2
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest ,
Find the amount at the end of the second year.
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest,
Calculate the interest for the fourth year.
Natasha gave Rs.6O,OOO to Nimish for 3 years at 15%,p.a. compound interest.
Calculate to the nearest rupee :
The amount Natasha receives at the end of 3 years.
Gayatri invested Rs.25,OOO for 3 years and 6 months in a bank which paid
1O % p.a- compound interest. Calculate the amount to the nearest.Ts-10, that she
received at the end of the period.
Neha loaned Rs 27500 to a friend for 1 3/4 years at 8 % p.a. compound interest. Find the interest earned by her.
Rajan borrowed Rs 90,000 at 15% p.a. compound interest. If he repays Rs 35,000 at the end of each year, find the amount of loan outstanding at the beginning of the fourth year.
Find the compound interest on Rs. 4,000 accrued in three years, when the rate of interest is 8% for the first year and 10% per year for the second and the third years.
A man borrows Rs. 10,000 at 5% per annum compound interest. He repays 35% of the sum borrowed at the end of the first year and 42% of the sum borrowed at the end of the second year. How much must he pay at the end of the third year in order to clear the debt ?
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.
