Question

A vendor bought oranges at 20 for rs.125 and sold them at rs.90 per dozen. Find his gain or loss percent

Answer 1

Hey!
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Cost of 20 oranges is 125 rupees


Then, cost of 1 orange = $\large{\bf{ \frac{125}{20} }}$


$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{\bf{= 6.25}}$


Since 1 dozen = 12 units


So, $\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{\bf{= 6. 25 × 12}}$


$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\large{\bf{= 75}}$


Given selling prize of one dozen oranges = 90 ( SP > CP )


Gain% $\large{\bf{= \frac{SP - CP}{SP} \times 100}}$


$\large{\bf{= \frac{90 - 75}{90} \times 100}}$


$\large{\bf{= \frac{1}{6} \times 100}}$


$\huge{\bold{\fbox{\red{= 16. 6667}}}}$

Answer 2

Given that he bought 20 oranges for 125 rupees.

Then the cost price of 1 orange = 125/20

                                                     = 6.25

Then the cost price of 1 dozen oranges = 6.25 * 12

                                                                   = 75.

Given that selling price of one dozen oranges = 90.

SP > CP.

Gain% = (SP - CP)/SP * 100%

            = (90 - 75)/90 * 100

            = 1/6 * 100

            = 16.6667