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.