Question

The sum of cost price of articles a and b together was rs 12000.Article A was sold at profit of 15 % whereas B was sold at loss of 12 %.the overall loss incurred while selling both articles was rs 90.what is cost price of article A​

Answer 1

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Answer 2

Given :

Sum of cost price of articles A and B = Rs. 12000

Profit % = 15%

Loss % = 12%

Overall loss = Rs. 90

To find: Cost price of A = ?

Solution :

Let the cost price of article A be 'x'

Let the cost price of article B be ' 12000-x'

So, Selling price of article A would be :

$\dfrac{15}{100}x=0.15x$

Selling price of article B would be :

$\dfrac{12}{100}\times (12000-x)=0.12(12000-x)=1440-0.12x$

According to question, we get :

$0.15x-(1440-0.12x)=90\\\\0.15x-1440+0.12x=90\\\\0.27x=-90+1440\\\\0.27x=1350\\\\x=\dfrac{1350}{0.27}\\\\x=5000$

Hence, the cost price of article A is Rs.5000.