Sale discount

The product was discounted so that eight products at a new price cost just as five products at an old price. How many percents is the new price lower than the old price?

Correct result:

p =  37.5 %

Solution:

$$\begin{gathered} 8y=5x \\ y=(1-p\mathrm{/}100)x \\ 8(1-p\mathrm{/}100)x=5x \\ 8(1-p\mathrm{/}100)=5 \\ 8\cdot (1-p\mathrm{/}100)=5 \\ 8p=300 \\ p={\displaystyle \frac{75}{2}}=37.5={\displaystyle \frac{75}{2}}\mathrm{\%}=37.5\mathrm{\%} \end{gathered}$$

Try another example

Showing 0 comments:

Related math problems and questions:

• Goods
  To the market is introducing a new product, the first week is sold at a reduced price. 8 products is sell at an entry price same as 5 products at the normal price. How much % is reduced price less than the current price for this product?
• Discount and prices
  After a 29% discount, the new product price was € 426. What was the original price of the product?
• Prices
  The price of the product was increased by 35%. How many percents of the new price we have to make it cheaper so that its price is equal to the original price?
• Sales off
  The price has decreased by 20%. How many percents do I have to raise the new price to be the same as before the cut?
• Sale off
  Product cost 95 euros before sale off. After sale off cost 74 euros and 10 cents. About what percentage of produt became cheaper?
• Old laptop
  The sale price of an old laptop is Php.11000. If 33 1/3% discount rate is given how much is the sale price of the laptop without the discount? Plese show your solution please. Php is Philippine peso
• Discount
  The dress was discounted by CZK 115, which was 12% of the original price. What is the cost of the dress after the discount?
• Discount price
  Coat cost 150 euros after sales discount. What is the original price when the discount is 25% of the original price?
• Price saleoff
  Shoes standing y euros. At first they were discounted by 12% and then 50% of the new amount. After this double cheapening the cost was exactly 22 euros. Determine the original price of shoes.
• Discount
  Ladies sweater was twice discounted. First by 8%, then by 8% of the new price. Its final price was 66 €. Determine the original price of the sweater.
• Store
  One meter of the textile was discounted by 2 USD. Now 9 m of textile cost as before 8 m. Calculate the old and new price of 1 m of the textile.
• Price increase
  A 20 percent price increase meant a 90-crown raise. How many cost a product after?
• Double ratio
  The mobile phone was twice gradually discounted in the ratio of 3: 2 1 half: 5 quarters. How much did it originally cost if the price was CZK 4,200 after a double discount?
• Two masters
  The two masters will make as many parts as five apprentices at the same time. An eight-hour shift begins at 6 o'clock. When can a master finish the job to produce just as much as an apprentice for the whole shift?
• Bookshelve
  Bookshelve with an original price of € 200 twice become cheaper. After the second discounted by 15% the price was € 149.60. Determine how much % become cheaper for the first time.
• Product V2
  The price of product was increased by 12%. Price increased by 273. How much money it would cost this product, if it was on the contrary by 19% discounted.
• Four integers
  Fnd four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.