Question

I sell a table for Rs.24 and thus make a percentage of profit equal to the cost price. What did the table cost me​

Answer 1

Answer:

• cost of table is 20 rupees

Answer 2

The cost price of the table = Rs. 20

Given :

I sell a table for Rs. 24 and thus make a percentage of profit equal to the cost price

To find :

The cost price of the table

Solution :

Step 1 of 2 :

Form the equation to find the cost price of the table

Let cost price of the article = Rs. C

Now it is given that selling price of the table is Rs. 24 and thus make a percentage of profit equal to the cost price

By the given condition $\displaystyle \sf{ C + \bigg(C \times \frac{C}{100} \bigg) } = 24$

Step 2 of 2 :

Calculate the cost price of the table

$\displaystyle \sf{ C + \bigg(C \times \frac{C}{100} \bigg) } = 24$

$\displaystyle \sf{ \implies C + \frac{{C}^{2} }{100} } = 24$

$\displaystyle \sf \implies {C}^{2} + 100C - 2400 = 0$

$\displaystyle \sf \implies {C}^{2} + (120 - 20)C - 2400 = 0$

$\displaystyle \sf \implies {C}^{2} + 120 C- 20C - 2400 = 0$

$\displaystyle \sf \implies C( C + 120) - 20(C + 120)= 0$

$\displaystyle \sf \implies ( C + 120) (C - 20)= 0$

C + 120 = 0 gives C = - 120

C - 20 = 0 gives C = 20

Since cost price of the article can not be negative

∴ C ≠ - 120

∴ C = 20

Hence cost price of the table = Rs. 20

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