Advertisements
Advertisements
Question
The cost of a machine depreciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :
The original cost.
Advertisements
Solution
Depreciation for seoond year = Rs 2,592 + 10 % of Rs 2,592
Here, 10 % of Rs 2,592 =Rs 259.20
Hence, Depreciation for seoond year
= Rs 2,592 +Rs 259.20 =Rs 2,851.20
Depreciation for first year = Rs 2,851.20 + 10 % of Rs 2,851.20
Here, 10 % of Rs 2,851.20 = Rs 285.12
Hence, Depreciation for first year
= Rs 2,851.20 + Rs 285.12 = Rs 3, 136.32
Total depreciation for 4 years
= Rs (3, 136.32 + 2,851.20 + 2,592 + 2,332.80)
=Rs 10,912.32
A= P - Rs 10,912.32 ; P = x
`"A" = "P" (1 + "r"/100)^"n"`
`"x" - 10912.32 = "x" (1 - 10/100)^4`
`"x" - 10912.32 = "x" xx 1.1 xx 1.1 xx 1.1 xx 1.1`
x (1 - 0.6561) = Rs 10912.32
`"x" = "Rs" 10912.32/0.3439`
X=RS 31731.08
⇒ x = Rs 32,000 (approx)
Original cost= Rs 32,000
RELATED QUESTIONS
Mr. Chatterjee borrowed Rs 50,000 in compound interest from Mr. Patel for 2 years when the rates of interest for the successive years were `7 1/2 %` and `9 1/4 %`. If Mr. Chatterjee returned Rs 27, 750 at the end of the first year, find the amount he needs to return at the end of the seoond year to clear the loan.
What sum of money will amount to Rs 7,128 in 2 years at compound interest, if the rates of interest are 8% and 10% for successive years?
The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
The cost of a machine dep reciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :
The cost at the end of the fourth year.
The simple interest on an amount for 2 years at 8% is Rs 320. Calculate the compound interest on the same amount at the same rate for 1 year if the interest is compounded half-yearly.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 8,000 for `1 1/2` years at 12 % p.a.
On what sum of money will the compound interest for 2 years at 8% per annum amount to Rs 1399.68?
On what sum of money will the compound interest for 2 years at 10% p.a. compounded half-yearly amount to Rs 3,448.10?
If the interest is compounded half yearly, calculate the amount when the Principal is Rs. 7,400, the rate of interest is 5% per annum and the duration is one year.
In how many years will Rs. 15,625 amount to Rs. 17,576 at 4% p.a., compound interest?
