Question

if am article is sold at market price with 25% discount , profit % is 20%. if it is sold with no discount, what will be the profit%?​

Answer 1

Answer:

The profit is three times the discount offered. If the discount offered is 6.25%, what's the profit percentage? A merchant marks the price of an article 35% above its actual cost and then offers some discount on the marked price to gain a profit of 20%.

Answer 2

The profit percentage for zero discount on cost price is 60 %

Step-by-step explanation:

Given as :

The discount % on market price of an article = 25%

The profit percentage after discount on article = 20%

Let The market price of article = Rs 100

Again

The discount % on market price of an article = 0%

Let The profit percentage after discount on article = p%

According to question

∵  market price of article = Rs 100

  discount = Market price - selling price

or,  discount = Rs 100 - sp

∴   discount % = $\dfrac{discount}{M.P}$ × 100

     discount % = $\dfrac{100-s.p}{100}$ × 100

Or,              25 % = 1 - $\dfrac{s.p}{100}$

Or,  $\dfrac{s.p}{100}$ = 1 - $\dfrac{25}{100}$

or,  $\dfrac{s.p}{100}$  = $\dfrac{75}{100}$

∴  selling price of article = Rs 75

Again

Profit % = $\dfrac{s.p-c.p}{c.p}$ × 100

where cost price = c.p

So,  20 % = $\dfrac{s.p}{c.p}$ - 1

Or,  $\dfrac{s.p}{c.p}$ = 1 + $\dfrac{20}{100}$

Or,  $\dfrac{75}{c.p}$   = $\dfrac{120}{100}$

i.e   cost price of article = $\dfrac{75\times 100}{120}$

Or,  cost price of article =  Rs 62.5

Again , A/ Q

For discount % = 0 %

∴     ∵  market price of article = Rs 100

  discount = Market price - selling price

or,  discount = Rs 100 - sp

∴    discount % = $\dfrac{discount}{M.P}$ × 100

     discount % = $\dfrac{100-s.p}{100}$ × 10

 Or,              0 % = 1 - $\dfrac{s.p}{100}$

Or,  $\dfrac{s.p}{100}$ = 1 - 0

or,  $\dfrac{s.p}{100}$  = 1

∴  selling price of article = Rs 100

∵   cost price of article = Rs 62.5

Thus ,

Profit % = $\dfrac{Rs 100-Rs62.5}{Rs 62.5}$ × 100

Or,  p = $\dfrac{37.5}{62.5}$ × 100

∴     p = 0.6 × 100 = 60%

So, The profit percentage = p = 60 %

Hence, The profit percentage for zero discount on cost price is 60 % Answer