Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
Amita wanted to start a business for which she needed Rs, 40000. She borrowed this from Dolly at 10% p.a compounded semi-annually. Find the extra amount that she needs to pay at the end of two years to clear her debt.
What sum of money will amount to Rs 13,675.20 in 3 years at compound interest, if the rates of interest are 10%, 11% and 12% for the successive years?
The value of a machine depreciates by 15% in the first year and by 12% in the second year. Find the value of the machine if its depreciation in the second year was Rs 1,632.
A certain sum of money invested at compound interest compounded annually amounted to Rs 5,082 after 2 years and to Rs 5,590.20 after 3 years. Calculate the rate of interest and the sum invested.
The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
the rate of depreciatlon
Ramesh borrowed Rs 12,000 at 15% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 9,200 at the end of the second year, he cleared the loan. Calculate the amount of money Ramesh returned at the end of the first year.
Rajan borrowed Rs 32,000 at 12% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 17,920 at the end of the second year, he cleared the loan. Calculate the amount Rajan paid at the end of the first year.
What sum of money will amount to Rs 15,746.40 at 16% p.a. compounded half-yearly?
Calculate the rate percent at which Rs 15,000 will yield Rs 8,413.44 as compound interest in 3 years.
A sum of money placed at compound interest compounded annually amounts to Rs 26,460 in 2 years and to Rs 29,172.15 in 4 years. Calculate the rate of interest and the sum.
