A camera is reduced by 5% in a sale. The sale price is £15.20. What was the original price?
An antique clocks price increases by 40% in a year. It now costs £112. What was it worth?
PLEASE PLEASE PLEASE TELL ME HOW YOU WORKED THEM OUT… I NEED TO ACTUALLY KNOW HOW TO DO THIS
By: Robbiieee xo
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Charles
Tags: Maths · Percentages · Price Increases4 Comments
4 responses so far ↓
15.20 is 95% of it’s original price
therefore, the original price is (1 / 0.95) * (15.2) = 16
112 is 140% of it’s original price
therefore, the original price is (1 / 1.4) * (112) = 80
1. Reduced by 5%, so £15.20 is 95% of the original price
95/100 * original price = £15.20
original price = £15.20 *100/95 = £16
2. Increased by 40%, so £112 is 140% of the original price.
140/100 * original price = £112
original price = £112 * 100/140 = £80
To figure out how to apply a percentage, take the percent as a number and multiply your original number by that percent / 100.
For the first item, if the original price was x, then a reduction of 5 percent, the reduction would be 5/100 x. The new price is x - the reduction, or x - 5/100 x = 15.20. 95/100 x = 15.20
x = 15.20 * (100/95) = £16.00
For the second problem, the original price is y, the increase in price is 40/100 y, so y + 40/100 y = 112
140/100 y = 112
y = 112 * (100/140)
y = £80.00
15.2+(15.2*0.05)=15.96
112-(112*0.4)=67.20