Question

A shopkeeer bought a designer suit for
₹16,000. After allowing a discount of 20% on marked price, still je earns 30% Find the marked price of the designer suit​

Answer 1

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Answer 2

Answer:

The final answer to the given question is the marked price of a designer suit is 26000.

Step-by-step explanation:

The given :

The cost price of the designer suit was Rs.16,000.

The allowed discount on a marked price is 20%

The profit gained is 30%.

To find :

The marked price (mp)of the designer suit.

Solution :

let the marked price be x.

the selling price is obtained by

$sp = \frac{cp \times (100 + profit \: percent)}{100}$

let' us substitute the values with the above formula, we get the answers as

$\frac{16000 \times (100 + 30)}{100} \\160 \times (130) \\ = 20800$

Then the discount is 20%, which can be written as

20/100 of x

$\frac{20}{100} x = \frac{x}{5}$

Now we have to calculate the value of x by the formula

$x - \frac{x}{5} = 20800 \\ \frac{5x - x}{5} = 20800 \\ \frac{4x}{5} = 20800 \\ 4x = 5 \times 20800 \\ x = \frac{20800 \times 5}{4} \\ x= 5200 \times 5 \\ x = 26000$

The value of x is obtained as 26000.

Therefore, the final answer to the question is the value of the marked price is obtained 26000.

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