Question

The cost price of a box and a pen is Rs 120. The box is sold at 10% profit and
the pen is sold at 10% loss. If the selling price of the box is Rs 52 more than that
of the pen, calculate the profit or loss percent in the whole.

Answer 1

❍Let consider Cost Price of box be x rupees and cost price of pen be (80 - x) rupees.

According to the question:

• We are given with cost price of box and pen is 120 rupees and box is sold at 10% profit and pen is sold at 10% loss and lastly we are given that selling price of box is 52 rupees more than that of pen and we are said to find profit percent on whole.

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Therefore,

Let Consider Cost Price of Box be x rupees.

Let consider Cost Price of Pen be (80-x) rupees.

Box is sold at 10% profit so

Using formula:

$\: \: \sf \: sp = cp + profit$

Now substitute the values

$\: \: \sf \: sp = x + (\frac{10}{100} )x \\ \\ \: \: \sf \: sp = 1.1x \: rupees$

Pen is sold at 10% loss

Using Formula:

$\: \: \sf \: sp = cp + profit$

Now substitute the values

$\: \: \sf \: sp = (80 - x) - (\frac{10}{100} )(80 - x) \\ \\ \: \: \sf \: sp = 72 - 0.9x$

$\: \: \sf \: sp \: of \: box = 28 + sp \: of \: pen \\ \\ \: \: \sf \: 1.1x = 28 + 72 - 0.9x \\ \\ \: \: \sf \: 2x = 100 \\ \\ \: \: \sf \therefore \: x = 50$

$\: \: \sf \: total \: sp = 1.1x + 72 - 0.9x \\ \\ \: \: \sf \: = 72 + 0.2x \\ \\ \: \: \sf \: = 72 + 0.2 \times 50 \\ \\ \: \: \sf \: = 72 + 10 \\ \\ \: \: \sf \: = 82$

Hence, Total Selling Price is 82 rupees and Total Cost Price is 80 rupees respectively.

Using Formula:

$\: \: \sf \: profit = sp - cp$

Now substitute the values

$\: \: \sf \: profit = 82 - 80 \\ \\ \: \: \sf \: profit = 2 \: rupees$

Hence, Profit is 2 rupees.

Using Formula:

$\: \: \sf \: profit \: percent = \frac{profit}{cp} \times 100$

Now substitute the values

$\: \: \sf \: profit \: percent = \frac{2}{80} \times 100 \\ \\ \: \: \sf \: = 2.5 \: percent$

Hence, Profit Percent is 2.5%.

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Answer 2

Answer:

Step-by-step explanation: