MathematicsThe ratio of the cost price and the marked price of an article is 2:3 and the ratio of the percentage profit and percentage discount is 3:2 what is the discount parentage?Class: 9

The ratio of the cost price and the marked price of an article is 2:3 and the ratio of the percentage profit and percentage discount is 3:2 what is the discount parentage?

Class: 9

A
16.07%
B
16.66%
C
15.77%
D
18.05%

Solution:

Given, the ratio of cost price and marked price is 2:3
Let
profit = marked price – cost price
= 3a – 2a
= a
profit percentage =
discount percentage
Let cost price = 200 and SP = 300
⇒ 6a + 6a
⇒ 12a = 100
⇒
⇒ a = 8.33%
Discount = 2a
= 2 × 8.33
= 16.66%
Therefore, option 2 is the correct answer.

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