Let the cost price (CP) of the product be \( x \) rupees. To achieve a 40% profit, the selling price (SP) is set as:
\[ SP = x + 0.4x = 1.4x \]
If the cost price were reduced by 40%, the new cost price would be:
\[ 0.6x \]
And the selling price would be 5 rupees lower:
\[ 1.4x - 5 \]
Under these conditions, the profit would be 50%. This can be expressed as:
\[ 1.5 \times 0.6x = 1.4x - 5 \]
Simplifying the equation:
\[ 0.9x = 1.4x - 5 \]
Rearranging to solve for \( x \):
\[ 1.4x - 0.9x = 5 \]
\[ 0.5x = 5 \]
\[ x = \frac{5}{0.5} = 10 \]
The original selling price is calculated as:
\[ SP = 1.4 \times 10 = 14 \]
Therefore, the original selling price of the product is 14 rupees.
A trader offers a discount of 20% on a product but still makes a profit of 10%. What is the marked price of the product if the cost price is Rs.8000?
A shopkeeper buys an item for Rs.2800 and sells it at a 15% profit. What is the selling price?
A television is sold for Rs.44,000 at a profit of 10%. What is the cost price?