Question

A shopkeeper sells an arrcle at a loss of 12.5%. had he sold that arrcle for rs.51.80 more, he would earned a profit of 6%. find the c.p. of that arrcle.

A. Rs. 280

B. Rs. 300

C. Rs. 380

D. Rs. 400

Answer 1

The cost price of the article is Rs. 280, which is determined by calculating the difference between selling prices at a loss and at a profit then solving for the original cost price.

Step-by-step explanation:

To find the cost price (C.P.) of the article, let us assume the C.P. to be Rs. x.

A loss of 12.5% on this cost price means the selling price (S.P.) is 87.5% of x, which we can express as 0.875x.

If the shopkeeper had sold the article for Rs. 51.80 more, the selling price would have increased to 0.875x + 51.80.

Now, to achieve a 6% profit, the new selling price would be 106% of the cost price, which equals 1.06x. By setting these two expressions for the new selling price equal to each other, we can solve for x:

1.06x = 0.875x + 51.80

Subtracting 0.875x from both sides, we get:

0.185x = 51.80

Dividing both sides by 0.185 gives us:

x = 51.80 / 0.185

x = Rs. 280

Therefore, the cost price of the article is Rs. 280, which corresponds to option A.