# [Solved] A price of a car is £15400 before it is reduced by 8%. How much cost after the reduction

Step 1: Understand the Problem

The problem is a basic percentage decrease problem. We know that the original price of a car is £15400 and it’s being reduced by 8%. We need to find out the new price after this reduction.

Concept Used: Percentage Decrease

Percentage decrease is a measure of how much a quantity decreases relative to its original size. In this case, we’re told that the price of the car is decreased by 8%. To determine the new price, we must calculate 8% of the original price and subtract it from the original price.

Step 2: Calculate the Reduction

Next, we must calculate 8% of the original price (i.e., £15400). In mathematics, ‘of’ usually indicates multiplication.

To convert a percentage to a decimal, we divide by 100. Therefore, 8% becomes 0.08.

So, to calculate 8% of £15400, we multiply £15400 by 0.08:

£15400 * 0.08 = £1232

So, £1232 is the amount by which the price of the car will be reduced.

Concept Used: Multiplication and Percentage Conversion

Multiplication is a basic arithmetic operation. Percentage conversion involves changing a percentage to a decimal, which is done by dividing by 100.

Step 3: Subtract the Reduction from the Original Price

Finally, we subtract the amount of the reduction (£1232) from the original price (£15400) to find the new price:

£15400 – £1232 = £14168

So, after an 8% reduction, the car would cost £14168.

Concept Used: Subtraction

Subtraction is another basic arithmetic operation used to find the difference between two numbers. In this case, we use subtraction to determine the new price after applying the reduction.

## Conclusion for A price of a car is £15400 before it is reduced by 8%

A price of a car is £15400 before it is reduced by 8% So, after an 8% reduction, the car would cost £14168.