Question

a discount of 15% on one article is the same as discount of 20% on a second article. the costs of the two articles can be:

Answer 1

Let the cost of the first item be x

Let the cost of the second item be y

Find the discount of the first item in term of x:

15% of x = 0.15x

Find the discount of the second item in term of y:

20% of y = 0.2y

Express y in term of x:

Since we know that the two discounts are equal

0.2y = 0.15x

y = 0.15x/0.2

y = 0.75x

Find the cost of the 2 items:

Cost of the two items = x + y

Since y = 0.75x

Cost of the two items = x + 0.75x = 1.75x

Answer: The cost of the two items is 1.75x where x is the cost of the first item

Answer 2

Let Sp1 = sp2 = 100 Hence add up to SP = 200 according to Question 175 % cp1 = 100

subsequently cp1 = 400/7 Also 70% cp2 = 100 consequently cp2 = 1000/7

So, add up to cp = (400/7) + (1000/7) = 200 CP = SP (no benefit, no misfortune).