Question

A man bought 3 articles for Rs 3000 each. He sold it for 15%profit , 10% profit and 15% loss . The total profit/ loss percentage he earned is?​

Answer 1

Given:

• A man bought 3 articles for Rs 3000 each.
• He sold one article on 15% profit, second on 10% profit and third on 15% loss.

To find:

• Total profit or loss percentage he earned.

$\huge \mathtt{ \purple{SOLUTION:-}}$

On first article

CP = Rs 3000

Profit % = 15%

Therefore,

SP = 15/100×3000

$\large \implies{</strong><strong>R</strong><strong>s</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>450}$

Total SP = 3000+450 =3450

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On second article

CP = 3000

Profit% = 10%

Therefore,

SP = 10/100×3000

$\large{ \implies{</strong><strong>R</strong><strong>s</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>300}}$

Total SP = 3000+300 = 3300

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On third article

CP = 3000

Loss % = 15%

Therefore,

SP = 15/100×3000

$\large \implies{</strong><strong>R</strong><strong>s</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>450}$

Total SP = 3000 - 450 = 2550

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Now,

Total CP of three articles

$\large \implies{3000 + 3000 + 3000}$

$\large{ \bold{ \implies{Rs \: 9000}}}$

Total SP of three articles

$\large{ \implies{Rs \: 3450 + 3300 + 2550}}$

$\large \implies{ \bold{Rs \: 9300}}$

Therefore,

As we can see that SP > CP

So there is a profit on the whole transaction

Profit = SP - CP

$\large \implies{Rs \: 9300 - 9000}$

$\large \implies{ \bold{Rs \: 300}}$

Profit % = P/CP ×100

$\large \implies{ \frac{300}{9000} \times 100}$

$\large \implies{ \bold{3.33\%}}$

$\small \boxed{ \blue{ \mathtt{ profit \% = 3.33\%}}}$

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