Question

3. A shopkeeper lists his goods in such a way that after allowing a discount of 20%, he
gains 52%. How much per cent above the C.P. is the list price of his goods?​

Answer 1

Answer:

90% above the CP

Step-by-step explanation:

Let x be the Marked price of the article,

Discount percentage = 20%,

Thus, the selling price of the article = x - 20% of x

= x - 0.2x

= 0.8x

Now, let y be the cost price of the article,

Then gain percentage = $\frac{SP-CP}{CP}\times 100$

$=\frac{0.8x - y}{y}\times 100$

Here, gain % = 52%,

$\frac{0.8x - y}{y}\times 100 = 52$

$\frac{0.8x-y}{y}=0.52$

$0.8x - y = 0.52y$

$0.8x = 0.52y + y$

$0.8x = 1.52y$

$\implies y =\frac{0.8}{1.52}x$

Hence, Marked up percentage = $\frac{x-y}{y}\times 100$

$=\frac{x-\frac{0.8}{1.52}x}{\frac{0.8}{1.52}}\times 100$

$=\frac{1.52x-0.8x}{0.8x}\times 100$

$=\frac{0.72x}{0.8x}\times 100$

$=\frac{720}{8}$

= 90%

Hence, the cost price is 90% marked above.

#Learn more :

Find discount percentage :

https://brainly.in/question/4083663

A dealer marks it's good 40% above the cost price andalouse a discount of 10% find the profit percentage

https://brainly.in/question/6532389