Question

When a pen is sold at a discount of 15%, there is a gain of rs10, but if it is sold at 25% discount,there is a loss of Rs.2. Find the marked price of the pen.?

Answer 1

The marked price of the pen is Rs. 66.67.

Step-by-step explanation:

To find the marked price of the pen, we'll set up a system of equations based on the given information. Let the marked price be 'x'.

According to the first condition, when the pen is sold at a 15% discount, there is a gain of Rs. 10. This can be represented as:

x - 0.15x = x(1 - 0.15) = 1.15x = x + 10

Simplifying the equation, we get:

0.15x = 10

x = 10/0.15 = Rs. 66.67

So, the marked price of the pen is Rs. 66.67.