Question

by selling 90 computer a shopkeeper gains the amount which is equal to the selling price of 10 computers . find the profit percent. had he purchased them for 30000 each., what would have been the selling price of a computer.​

Answer 1

Answer:

$\large Profit \ \%=12.5 \ \%$

$\large Selling \ price = Rs \ 33,750$

Step-by-step explanation:

Let selling price of computer be Rs a

So selling price of 90 computers = a × 90 = 90 a

Given that profit is equal to selling price of 10 computers.

Profit = a × 10 = 10 a.

We know formula

Profit = selling price - cost price

Cost price = selling price - profit

putting values here we get

Cost price = 90 a - 10 a

Cost price = 80 a.

We have to find profit percent.

$\large Profit \ \%=\dfrac{Profit}{Cost \ price}\times100 \\\\\\\large \text{Put the value which we have .}\\\\\\\large Profit \ \%=\dfrac{10 \ a}{80 \ a}\times100 \\\\\\\large Profit \ \%=\dfrac{1}{8}\times100 \\\\\\\large Profit \ \%=\dfrac{100}{8}\\\\\\\large Profit \ \%=12.5 \ \%$

Now we get  profit percent.

We also have to find selling price.

Given:

Cost price = Rs 30,000

We have formula

$\large Profit \ \%=\dfrac{Profit}{Cost \ price}\times100 \\\\\\\large \text{We can also write profit as selling price - cost price }\\\\\\\large Profit \ \%=\dfrac{selling \ price - cost \ price}{Cost \ price}\times100\\\\\\\large \text{Put value here }\\\\\\\large 12.5=\dfrac{a-30,000}{30,000}\times100\\\\\\\large 12.5=\dfrac{a-30,000}{300}\\\\\\\large 12.5 \times 300=a-30,000$

$\large 125 \times 30=a-30,000\\\\\\\large a=30,000+3750\\\\\\\large a=33,750\\\\\\\large Selling \ price = Rs \ 33,750$

Thus we get answer.

Answer 2

Answer:

12.5% profit,33750 rs