Question

a man purchased a house for rs6.1 lakh and spent rs 30000 on its repairs, then he sold it for rs 8 lakh find his gain percent​

Answer 1

Answer :-

• The man's gain percent is 25%

Given :-

• A man purchased a house for Rs 6.1 lakh and spent Rs 300000 on it's repairs.
• He sold it for 8 lakh.

To find :-

• His gain percent.

Step-by-step explanation :-

• Before finding his gain percent, we have to find his gain. But for that, we first need to find the total cost price using the information given to us.

• The man spent 6.1 lakh to purchase the house and when we write it using numerals, we get 610000.

• He sold the house for Rs 8 lakh or Rs 800000.

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Calculations :-

• Money spent on purchasing the house = Rs 610000.

• Money spent on it's repairs = Rs 30000.

Hence,

• Total money spent = Rs 610000 + Rs 30000 = Rs 640000.

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• Now let's find his gain!

We know that :-

$\underline{ \boxed{ \sf Profit = Cost \: Price - Selling \: Price}}$

Here,

• Cost price = Rs 640000.
• Selling price = Rs 800000.

Therefore,

$\boxed{\bf Profit = 800000 - 640000}$

$\overline{\boxed{\bf Profit =160000}}$

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• Finally, let's find his gain percent!

We know that :-

$\underline{ \boxed{ \sf Profit \: \% = \dfrac{Profit}{Cost \: Price} \times 100}}$

Here,

• Profit = Rs 160000.
• Cost price = Rs 640000.

Hence,

$\rm Profit \: \% = \dfrac{160000}{640000} \times 100$

Cutting off the zeroes,

$\rm Profit \: \% = \dfrac{16}{64} \times 100$

Reducing the numbers,

$\rm Profit \: \% = \dfrac{1}{1} \times 25$

Now let's multiply the remaining numbers since we can't reduce them anymore.

$\rm Profit \: \% = 1 \times 25$

Multiplying the numbers,

$\overline{ \boxed{\rm Profit \: \% = 25\%}}$