Home
Class 10
MATHS
The present value of a machine of a fact...

The present value of a machine of a factory is Rs. 180000. If the value of the machine decreases at the rate of 10% per annum, then what will be the value of the machine after 3 years?

Text Solution

Verified by Experts

The present value of the machine `=Rs. 180000`
Rate of decrease of the value `=10%` per annum.
`:.` The value of the machine will be after 3 years `=Rs. 180000xx(1-10/100)^(3)`
`=Rs. 180000xx(1-1/10)^(3)=Rs. 180000((10-1)/10)^(3)`
`=Rs. 180000xx(9xx9xx9)/(10xx10xx10)=Rs. 131220`
Hence the required value of the machine will be Rs. 131220 after 3 years.
Promotional Banner

Topper's Solved these Questions

  • COMPOUND INTEREST

    CALCUTTA BOOK HOUSE|Exercise MCQ TYPE|10 Videos

  • COMPOUND INTEREST

    CALCUTTA BOOK HOUSE|Exercise VERY SHORT ANSWER QUESTION TYPE|5 Videos

  • APPLICATION OF TRIGONOMETRIC RATIOS: HEIGHTS AND DISTANCES

    CALCUTTA BOOK HOUSE|Exercise (Long-answer type question (LA) :)|11 Videos

  • CONCEPT OF MEASUREMENT OF ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 1|38 Videos

Similar Questions

Explore conceptually related problems

The present value of a house in Rs. 100000. If the value of the house decreases by 10% per annum, then what will be the value of the house after 3 years.

The present value of a piece of land is Rs. 2x. If the value of the land increases at the rate of 2r% per annum, then after 2n after years the value of the land will be

Value of a machine in a factory is ₨ 180000. The value of the machine depreciates at 10% per year. What will be value of the machine after 3 years?

The present value of a piece of land is ₹ 4x. If the value of the land increases at the rate of 4r% per annum, then after 2nd years the value of the land will be

The present value of a car is Rs 400000. If the value of the car decreases by 10% per annum, then find the value of the car after 3 years.

The present value of a car is Rs. 360000. If the value of the car decreases at the rate of 10% in the first year and in the next every year the rate of decrease is 20% per year. Then find the value of car after 3 years.

The value of a machine of a factory decreases by 10% per year. If the present value of the machine be Rs. 100000, then what will be the value of it after 3 years?

The present price of a machine is ₹ 2V. If the price of the machine depriciates at a rate oa 2r% per annum, then the pricen of the machine after 2t year will be

The value of a machien being decreased in y years at the rate of r% per year, becomes Rs. V. Find the value of the machine before n years.

The value of a new car sis rs. 360000. If the value of the car decreases by 10% per annum in the first 2 years and then by 20% for each year, then what will be the value of the car after 3 years?