# [Solved] A plane ticket to Barcelona costs £175. The price decreases by 6%. Work out the new price of the plane ticket

**Step 1: Understanding the Problem**

This problem illustrates the concept of percentage decrease, which is a useful way to express reductions in quantities or values as a percentage of the original amount. This is a useful concept in a variety of fields, including finance, business, and economics.

The problem here is asking for the new price of a plane ticket to Barcelona after a decrease of 6%. The original price of the ticket is £175.

**Step 2: Understanding Percentage Decrease**

The concept of “percentage decrease” is a way of expressing a reduction in a quantity as a percentage of the original amount. In this case, the price of the plane ticket is decreasing by 6%.

**Step 3: Calculating the Decrease in Price**

The first step to solving the problem is to calculate the actual decrease in price. This is done by multiplying the original price by the percentage decrease.

Decrease in Price = Original Price * Percentage Decrease Decrease in Price = £175 * 6% = £10.50

So, the price of the ticket decreases by £10.50.

**Step 4: Calculating the New Price**

The new price of the plane ticket can be found by subtracting the decrease in price from the original price.

New Price = Original Price – Decrease in Price New Price = £175 – £10.50 = £164.50

So, the new price of the plane ticket to Barcelona is £164.50.