SSC MTS 2019 PYQ — Question 75

SSC MTS Previous Year - 05 August 2019 - Shift 1 • Quantitative Aptitude • Q75

Market price and cost price of an article are in ratio 5 : 4.If the profit earned by selling the article is 12.5%, then what is the discount percentage?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 10%

Understanding

Application

Calculation

Profit earned by selling the article is 12.5%

So,

SP = CP (1 + 0.125)

⇒ SP = 1.125CP

⇒ CP/SP = 8/9

Or

CP : SP = 8 : 9

Marked price and cost price of an article are in ratio 5 : 4

 

So,

MP : CP = 5 : 4

 

Or

MP : CP = 10 : 8

Now we have,

CP : SP = 8 : 9

And

MP : CP = 10 : 8

Suppose,

CP = 8x

SP = 9x

MP = 10x

Hence,

Discount = [(10x – 9x)/10x] × 100

= 10%