Question

1. Find the ratio of the marked prices of two articles whose selling prices are same after they are
sold at a discount of 12.5% and 9.09% respectively.​

Answer 1

Given data:

Selling prices of two articles are same after they are sold at a discount of 12.5% and 9.09% respectively

To find:

The ratio of the marked prices of two articles

Step-by-step explanation:

Let the marked prices of two articles are x and y respectively.

If the first article is sold at a discount of 12.5%, then its selling price be

x × (1 - 12.5/100)

= x × 87.50/100

If the second article is sold at a discount of 9.09%, then its selling price be

y × (1 - 9.09/100)

= y × 90.91/100

By the given condition, the selling prices are same. So,

x × 87.50/100 = y × 90.91/100

➾ x × 87.50 = y × 90.91

➾ x/y = 90.91/87.50

➾ x/y = 9091/8750

➾ x : y = 9091 : 8750

Answer:

The ratio of the marked prices of two articles is 9091 : 8750