Question

An item was sold for rs 532 at a loss of 5%.What was its cost price

Answer 1

Sp= 532
Loss percent= 5
Cp= 100/100-5× 532
= 100/95× 532
= 560

Answer 2

Given:

We have a selling price of an item is Rs. 532 and the loss percent is 5%.

To Find:

We have to find the cost price of article?

Step-by-step explanation:

• We have a selling price of an article is Rs. 532 which ew can write as
• S.P= 532
• Let the cost price of the article be Rs.x
• Now we have a loss percent which is 5%. We know the formula of loss percent is given by the.

       $Loss\%=\frac{loss}{C.P} \times100$

• Now we know the loss of any article is calculated as the cost price minus by selling price. Put all these values in the above formula we get.

       $5=\frac{C.P-S.P}{C.P} \times100$

• Now put the values of Cost price and selling price.

       $5=\frac{x-532}{x} \times100$

• Now do the cross multiplication to simplify the above equation.

       $\Rightarrow 5x=100x-53200$

• Now take the like terms together and simplify the equation.

      $\Rightarrow 5x-100x=-53200\\\Rightarrow95x=53200\\\Rightarrow x=\frac{53200}{95}=560$

Hence, the cost price of article is Rs.560