What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

Let the market price of the article be Rs.x

given that Discount % = 12%

then selling price (S.P) = market  price (M.P) - discount (D)

⇒ S.P = x - 12% of x

What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

⇒ S.P =

What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

⇒ S.P =

What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

⇒ S..P =

What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

he is still gaining profit 

∴ cost price (C.P) =

What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

⇒ x = 1250 Rs.

∴ market price of the article is Rs. 1250.

What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

S.P=125*880/100

S.P=1100

M.P=100*1100/88

M.P=1250

Question 1 0 2 What price should a shopkeeper mark on an article that costs him Rs. 600 to gain 20 %, after allowing a discount of 10 % ?

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What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?

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Given:

Cost price = Rs. 200

Gain% = 35%

Discount % = 25%

Formula Used:

Marked price = Selling price × 100/(100 - discount%)

Selling price = Cost price × (100 + gain%)/100

Calculation:

Selling price = 200 × (100 + 35 )/100 = Rs.270

Marked price = 270 × 100/(100 - 25 ) = Rs.360

∴ The price should a shopkeeper mark on a product is Rs.360.

What price should a shopkeeper mark on an article which costs him880 so as to gain 25% after allowing a discount of 12 %?
Shortcut Trick

Marked price =  200 × (100 + 35 )/100 × 100/(100 - 25 ) = Rs.360

∴ The price should a shopkeeper mark on a product is Rs.360.

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