Question

Q.1 - After allowing a discount of 25% on the market price of an
article, there is a gain of 20%. What is the profit % if the article is sold
at market price i.e. allowing no discount?
A) 65%
B) 55%
C) 60%
D) 50%​

Answer 1

$\large{\underline{\red{\rm{AnswEr:60\%}}}}$

$\bold\green{\underline{Let:}}$

The market price of article be 100

$\bold\green{\underline{Given:}}$

After allowing a discount of 25%on market price

so, selling price of article=?

• using formula here

$\bold\purple{\boxed{SP=\frac{100-D\%}{100}*MP}}$

⟹Selling price=100-25/100×100

⟹Selling price=75/100×100

⟹Selling price=75

Given, in the question that if this article is sold on profit of 20% than cost price=?

Selling price=75

Gain=20%

• using formula here

$\bold\purple{\boxed{CP=\frac{100}{100+G\%}*SP}}$

⟹Cost price=100/100+20×75

⟹Cost price=100/120×75

⟹Cost price=62.5

If the article is sold on market price than profit%=?

⟹Profit=MP-CP

⟹Profit=100-62.5

⟹Profit=37.5

Now, applying formula here

$\bold\purple{\boxed{P\%=\frac{P*100}{CP}}}$

⟹P%=37.5×100/62.5

⟹P%=3750/62.5

⟹P%=60%

Hence,

The 60%will be frofit if the article is sold on market price