Hanadi buys a dishwasher for £240 she wants to put a tag with a price on the dishwashee so that in the sale she can give a discount of 40% off the pirce on the tah and still make a profit of 25% off on the price she paid for the dishwasher. work out the price hanadi should put on the tag

Step-by-step explanation:

Original price that she paid for the dish washer is £240. She wants to sell it and make a profit of 25%. It means that price at which she would make a profit of 25% is

240 + 25/100 × 240 = 240 + 60 = 300

To determine the price tag of 40% discount and that would still ensure that she makes £300,

Let x represent the price tag in £. It means that a discount of 40% on £x would be 300. A discount of 40% on £x is expressed as

x - (40/100 × x) = x - 0.4x = 0.6x

So 0.6x = 300

x = 300/0.6 = 500

So the price tag will be £500