Question

By selling an article for rs. 826 a merchant has a profit of 18%. But due to fall of demand he sells it at only 2\3 of the profit percent. Find his selling price.

Answer 1

Step-by-step explanation:

SP=CP +Gain%of CP.

826=x+18%of x

826=x+18x/100

826=118x/100

82600=118x

x=82600/118

x=700

2/3of18%=12%

SP=CP+Gain%of CP

SP=700+12%*700

SP=700+12/100*700

Sp=700+84

Sp= 784

Answer 2

The new selling price of the article is 784 rupees.

Step-by-step explanation:

Consider the provided information.

The selling price of the article is 826 rupees and the profit is 18%.

Use the formula: $CP=\frac{SP\times100}{100+profit\%}$

Where CP is the cost price and SP is the selling price.

$CP=\dfrac{826\times100}{100+18}$

$CP=\dfrac{82600}{118}=700$

Hence, the cost price of the article is 700 rupees.

Due to fall of demand he sells it at only 2/3 of the profit percent.

$\frac{2}{3}\times18\%= 12\%$

New selling price is: $Sp=\dfrac{100+profit\%}{100}\times CP$

Substitute the respective values in the above formula.

$Sp=\dfrac{112}{100}\times 700=784$

Hence, the new selling price of the article is 784 rupees.

#Learn more

If selling price is doubled, the profit triples. Find the profit % ?​

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