# a machine depreciates in value each year at the rate of 10% of its previous value. however every second year there is some maintenance work, so that in that particular year depreciation is only 5% of its previous value. if at the end of the fourth year the value of the machine stands at rs. 146205, then find the value of the machine at the start at the first year?

### Mohammed

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get a machine depreciates in value each year at the rate of 10% of its previous value. however every second year there is some maintenance work, so that in that particular year depreciation is only 5% of its previous value. if at the end of the fourth year the value of the machine stands at rs. 146205, then find the value of the machine at the start at the first year? from screen.

## A machine depreciates in value each year at the rate of 10% of its previous value. However every second year there is some maintenance work, so that in that particular year depreciation is only 5% of its previous value. If at the end of the fourth year the value of the machine stands at Rs. 146205 , then find the value of the machine at the start at the first year?

Click here👆to get an answer to your question ✍️ A machine depreciates in value each year at the rate of 10% of its previous value. However every second year there is some maintenance work, so that in that particular year depreciation is only 5% of its previous value. If at the end of the fourth year the value of the machine stands at Rs. 146205 , then find the value of the machine at the start at the first year?

Question

## A machine depreciates in value each year at the rate of 10% of its previous value. However every second year there is some maintenance work, so that in that particular year depreciation is only 5% of its previous value. If at the end of the fourth year the value of the machine stands at Rs. 146205, then find the value of the machine at the start at the first year?

**A**

## Rs. 190000

**B**

## Rs. 200000

**C**

## Rs. 195000

**D**

## Rs. 210000

Medium Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is B)

Let the value of the machine, at the onset, be x when x is in Rs.Here we shall apply the rule

Final value = original value ×(1+rate)

time .

Here the rate will be negative since the value is depriciating.

For two yrs. the rate of depriciation is 10%.

∴ the value after 2 yrs.

= x×(1− 100 10 ) 2 =x× 10 9 × 10 9 .

As given, the rate of depriciation for next 2 yrs =5%

∴ The value after next 2 yrs

= x× 10 9 × 10 9 ×(1− 100 5 ) 2 =x× 10 9 × 10 9 × 20 19 × 20 19

But the final value after 4 yrs = Rs. 146205.

∴x× 10 9 × 10 9 × 20 19 × 20 19 =146205 ⇒x= 81×19×19 146205×40000 =5×40000 ⇒x= Rs. 200000.

So, 4 yrs. back, the value of the machine was Rs. 200000.

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## A machine depreciates in value each year at the rate of 10% of its previous value. However, every second year there is some maintenance work so that in that particular year, depreciation is only 5% of its previous value. If at the end of the fourth year, the value of the machine stands at 1, 46, 205, then find the value of machine at the start of the first year.

A machine depreciates in value each year at the rate of 10% of its previous value. However, every second year there is some maintenance work so that in that p

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A machine depreciates in value...

A machine depreciates in value each year at the rate of 10% of its previous value. However, every second year there is some maintenance work so that in that particular year, depreciation is only 5% of its previous value. If at the end of the fourth year, the value of the machine stands at 1, 46, 205, then find the value of machine at the start of the first year.

Text Solution Open Answer in App A 1, 90, 000 B 2, 00, 000 C 1, 95, 000 D 2, 10, 000 Answer

The correct Answer is B

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## A machine depreciates in value each year at the rate of

A machine depreciates in value each year at the rate of 10% of its previous value. However, every second year there is some maintenance work so that in that particular year, depreciation is only 5% of its previous value. If at the end of the fourth year, the value of the machine stands at Rs. 1, 46,205 then find the value of machine at the start of the first year.

Dhruba Dasgupta 6 years ago

## A machine depreciates in value each year at the rate of 10% of its previous value. However, every second year there is some maintenance work so that in that particular year, depreciation is only 5% of its previous value. If at the end of the fourth year, the value of the machine stands at Rs. 1, 46,205 then find the value of machine at the start of the first year.

## Join The Discussion

A machine depreciates in value each year at the rate of 10% of its previous value. However, every second year there is some maintenance work so that in that particular year, depreciation is only 5% of its previous value. If at the end of the fourth year, the value of the machine stands at Rs. 1, 46,205 then find the value of machine at the start of the first year. Join The Discussion Comments ( 1 )

Kumar Chandan : 6 years ago

Let Value of the machine at the start was 100. Now, depreciate the value by 10% and 5% alternatively.

100 ==10% ==> 90 ==5%== 85.5 ==10% ==>76.96==5%==>73.10 (at the end of 4th year.)

Now, Comparing, 73.10 = 146205 1 = 146205/73.10

100 = (146205*100)/73.10 = 2,00,006. (Approx).

So, value at the start = Rs. 200006.

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