Question

After allowing a discount of 20% on the marked price, a trader still makes a gain of 20%. By what percent is the
marked price above the cost price?

please explain with process to be brainliest​

Answer 1

Answer:

37.5 % ans.

Step-by-step explanation:

Given,

Let the cost price of the lamp be = Rs x

Then, SP = (100 + gain%)/100 × CP

= (100 + 10)/100 × x

= 110x/100

Now,

SP = Rs 110x/100 and Discount = 20%

By using the formula,

MP = (100×SP) / (100 – Discount%)

= (100×110x/100) / (100 – 20)

= 110x/80

= 11x/8

Required difference = MP – CP

= Rs (11x/8 – x)

= (11x-8x)/8

= Rs 3x/8

Discount% = (3x/8)/x × 100

= 37.5 %ans.

∴ The trader must mark his goods 37.5% above the cost price.