Question

if a person gains 20% profit even after giving 10% discount then by what percentage has he marked up the cost of price​

Answer 1

Answer:

33.33%

Step-by-step explanation:

Given:

profit% = 20% over marked price

discount% = 10% over marked price

_______________________________

Let the marked price (MP) is ₹100

As discount over MP is 10% = ₹ 10

so, selling price after discount is ₹ 90.

For SP of ₹ 90 the person profits 20%

So, cost price =

$\\ c \: p \: = \: \frac{s \: p}{(100 \: + \: profit\% \: )} \times 100$

$\\ so \: c \: p \: = \: \frac{90}{100 + 20} \times 100$

so, cost price = ₹ 75

Therefore, difference between MP and CP

= ₹ ( 100 - 75 )

= ₹ 25

so, percentage raise above CP

$\\ = \: \frac{25}{75} \times 100$

= 33.33%

Hence, percentage raise of MP above CP is 33.33%