Question

by selling an article for rs 600 more, karthik would have made 5%profit on his sale invested of a 11% . what was his cost price​

Answer 1

Cost Price = Rs.3750

Step-by-step explanation:

Given,

Cost Price = $\frac{Difference\ in\ SP}{Percentage\ Difference\ in\ profit}\times 100$

     = $\frac{600}{5-(-11)} \times 100$

     = $\frac{600}{16}\times 100$

      = Rs3750

Answer 2

The cost price of the article would be rs 3750.

Step-by-step explanation:

Consider the correct question is,

'By selling an article for Rs 600 more, Karthik would have made 5% profit on his sale instead of a 11% loss. What was his cost price?'

Suppose x be the cost price of the article,

If there is a loss of 11%,

Then the selling price of the article = (100-11)% of x

= 89% of x

= 0.89x,

While, if there is a profit of 5%,

Then the selling price of the article = (100+5)% of x

= 105% of x

= 1.05x

According to the question,

1.05x - 0.89x = 600

0.16x = 600

$\implies x =\frac{600}{0.16}=3750$

Hence, the cost price of the article would be rs 3750.

#Learn more:

Rohit sold an article to Kartik at a profit of 2.5 % and Karthik sold this article to Manish at a loss of 10% Manish paid rupee 9.90 Karthik find the cost price of the article for Rohit​

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