Question

By selling an article for ₹12690 a dealer incurs a loss of 6%.find the cost price of the article ​

Answer 1

Given:

Selling Price: Rs 12690

Loss = 6%

To Find :

Cost Price

Solution :

Finding Cost Price:

$Cost \: price = \dfrac{100}{100 - loss} \times SP$

$= > \dfrac{100}{100 - 6} \times 12690$

$= > \dfrac{100}{94} \times 12690$

$= > \dfrac{1269000}{94}$

$= > 13500$

Hence, The cost price is Rs 13,500

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Answer 2

SOLUTION

GIVEN

By selling an article for ₹ 12690 a dealer incurs a loss of 6%

TO DETERMINE

The cost price of the article

EVALUATION

Let ₹ P be cost price of the article

Now it is given that the dealer incurs a loss of 6%

So the selling price of the article

$\displaystyle \sf{ = P \times \frac{100 - 6}{100} }$

$\displaystyle \sf{ = P \times \frac{94}{100} }$

$\displaystyle \sf{ = \frac{94P}{100} }$

So by the given condition

$\displaystyle \sf{ \frac{94P}{100} = 12690}$

$\displaystyle \sf{ \implies P= 12690 \times \frac{100}{94} }$

$\displaystyle \sf{ \implies P= 135 \times 100 }$

$\displaystyle \sf{ \implies P= 135 \times 100 }$

$\displaystyle \sf{ \implies P= 13500 }$

FINAL ANSWER

The cost price of the article is ₹ 13500

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