Question

A shopkeeper allows a discount of 20% on the marked price of an article and sells it for rs896 (a) calculate the marked price of the article (b)by selling the article at the discounted price if the gains 12% on his cost price,what was the cost price. (c)what would have been his profit percentage,if he had sold the article at the market price? Answered

Answer 1

a)
Let Marked Price (MP) = x
rate of Discount = 20%
Discount = 20% of MP
= (20/100)x
= 2x/10
we know,
MP = Discount + SP
x = 2x/10 + 896
=> x = (2x + 8960)/10
=> 10x = 2x + 8960
=> 8x = 8960
=> x = 8960/8
=> x = Rs 1120
therefore Marked Price of the article = Rs 1120

b)
Let CP of the article = x
gain percentage = 12
gain = 12% of CP
= (12/100)×x
= 3x/25

we know,
SP = CP + gain
=> 896 = x + 3x/25
=> 896 = (25x + 3x)/25
=> 896 = 28x/25
=> 896 × 25 = 28x
=> 22400 = 28x
=> x = 22400/28
=> x = Rs 800
therefore the CP of the article was Rs 800

c)
if the article was sold at MP
then SP = MP = Rs 1120

then profit = SP - CP
= 1120-800
= Rs 320
profit percentage = (profit/CP) × 100
= (320/800)×100
= 320/8
= 40%
therefore his profit percentage would be 40% if he sold the article at the marked price

Answer 2

Answer:

Step-by-step explanation:

Discount=d

Cost price= CP

Gain =g

Marked price = MP

D% =20%

LetCP be= x

G%=12%

CP= SP*100/100+G%

100=SP*100/100+12

100*112/100=SP

Rs112=SP

MP=SP *100/100-20

11200/80

₹140

Amount over CP =MP-CP

140-100

₹40

Percentage= amount/100

40/100

40%