Question

one machine price 48000 rs, every year price down by 5% rate, thein aftar2 years how many price of machine​

Answer 1

➤ Given :-

Cost price of a machine :- ₹48000

Percent of decrease :- 5%

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➤ To Find :-

Value of the machine after 2 years...

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★ How to do :-

Here, we are given with the cost price of a machine. We are said that it's price decreases by 5% every year. We are asked to find the value of that machine after two years. So, first we should find the total percent of it's decreased value. Then, we should find the value of the decreased rupees by finding the percentage value of the given total amount of that machine. Then, we should find the value of the price after two years by subtracting the total amount and the decreased value. So, let's solve!!

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➤ Solution :-

Total decreased percentage :-

${\tt \leadsto 5 \times 2}$

${\tt \leadsto 10 \bf\%}$

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Now, find the value of the given total percentage of the total cost of machine.

Value of decreased rupees :-

${\tt \leadsto 10 \bf\% \: \: \tt of \: \: 48000}$

Write the percentage value as fraction and 'of' as multiplication sign.

${\tt \leadsto \dfrac{10}{100} \times 48000}$

Write the given fraction in lowest form by cancellation method.

${\tt \leadsto \cancel \dfrac{10}{100} \times 48000 = \dfrac{1}{10} \times 48000}$

Multiply the remaining numbers.

${\tt \leadsto \dfrac{1 \times 48000}{10} = \dfrac{48000}{10}}$

Write the obtained fraction in lowest form by cancellation method.

${\tt \leadsto \cancel \dfrac{48000}{10} = \underline{4800}}$

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Now, subtract the total cost and the obtained answer to get the value of 2 years.

Value of machine after 2 years :-

${\tt \leadsto 48000 - 4800}$

Subtract the values to get the final answer.

${\tt \leadsto \pink{\underline{\boxed{\tt Rs \: \: 43200}}}}$

$\Huge\therefore$ The value of the machine after 2 years is ₹43200.