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The marked price of a helmet increased by 30% and then decreased by 30%. If the price of a helmet now is Rs. 540.54, what was the initial marked price?

The marked price of a helmet increased by 30% and then decreased by 30%. If the price of a helmet now is Rs. 540.54, what was the initial marked price? Correct Answer Rs. 594

As per the details given,

Let the initial marked price be Rs. x

Increase in Marked price = 30%

Decrease in marked price = 30%

At last marked price = Rs. 540.54

Increment made = x + 30% of x = x + 0.3x = 1.3x

Decrement made = 70/100 × 1.3x = 0.91x

Final price = Rs. 540.54;

Final price = 0.91x = Rs. 540.54

⇒ x = 540.54/0.91 = Rs. 594

∴ Initial price = Rs. 594

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