Profit and loss

Quantitative Aptitude (CGL)

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Indian Economy - Understanding the basics of Indian economic system

The cost price of an article is decreased by 10% and then increased by 20%. If the final price is ?540, then the original cost price is:

This questions was previously asked in

ssc cgl 2023 pre

Rs.500

Rs.650

Rs.550

Rs.600

To find the original cost price, we need to reverse the percentage changes applied to the final price.

- Let's assume the original cost price is Rs. X.

- First, it's decreased by 10%: \(X - 0.1X = 0.9X\).

- Then it's increased by 20%: \(0.9X + 0.18X = 1.08X\).

- The final price, after these changes, is Rs. 540.

So, we set up the equation:

\[1.08X = 540\]

Solving for X:

- Divide both sides by 1.08:

\[X = \frac{540}{1.08} = 500\]

- Option 1: Rs. 500 is indeed the original cost price.

Option 1: Rs. 500