Math, asked by sidsuhail199, 10 days ago

A Shopkeeper marks his goods up by 33 1/2% above his cost price. What is the maximum % discount that he can offer so that he ends up selling at 20.15% profit?​

Answers

Answered by KnowledgeLord
10
The cost = 33
The half - 24
Percent - 20
Rupees = 200

Sry I had
Answered by payalchatterje
0

Answer:

Required discount percentage is 10%.

Step-by-step explanation:

Let us assume that the cost price of the article =Rs.100

Therefore, the merchant would have marked it to Rs.100+33 \frac{1}{2} % of Rs.100=

100 +  \frac{33 \times 2 + 1}{2}\% \: of \: 100 \\  = 100 +  \frac{67}{2}  \: of \: 100 \\  = 100 + \frac{67}{2\times 100}  \times 100 \\  = 100 + 67  \\  = 100 + 33.5 \\  = 133.5 \: rupees

Now, if he sells it at 20.15% profit

So,he sells the good at =

100 +20.15\% \: of \: 100 \\  = 100 +  \frac{20.15}{100}  \times 100 \\  = 100 + 20.15 \\  = 120.15 \: rupees

The buyer get discount

(133.5 - 120.15) = 13.35 \: rupees

Here 133.5 rupees means 100%

So,13.35 rupees means (13.35/133.5)×100%

=(1335×10/1335×100)×100%

=10%

Required maximum discount is 10%.

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