Question

If a cricket bat is sold at a profit of 5% instead of a loss of 5%, the seller gets Rs. 75 more. The CP of the cricket bat is

Answer 1

Answer:

The cost price of the cricket bat is Rs. 750

Explanation:

Assume that the cost price of the cricket bat is x

Now we get the equations for the 5% profit and loss:

1- Selling with 5% profit, the merchant will get:

$x + 0.05x = 1.05x$

2- Selling with 5% loss, the merchant will get:

$x - 0.05x = 0.95x$

Now, we are given that the difference between profit and loss is Rs. 75

This means that:

selling with profit - selling with loss = 75

$1.05x - 0.95x = 75\\0.1x = 75\\x = \frac{75}{0.1} \\\\x = 750$

Therefore:

The CP of the bat is Rs. 750

Hope this helps :)