noone13974
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

a shopkeeper selling an article at discount of 20% looses rs 400 if he allow 10% discount he gains rs 200 find the marked price and the cost price of the article​

Sagot :

oluwatunmishe014

Answer:700

Step-by-step explanation:

Let the M.P of the article be x .

A discount of 20% was given on the M.P .

So the selling price of the article ( S.P ) will be M.P - Discount .

Discount = 20 % of x

⇒ Discount = 20/100 of x

⇒ Discount = 1/5 × x

⇒ Discount = x/5

Now S.P = M.P - Discount .

⇒ S.P = x - x/5

⇒ S.P = ( 5 x - x ) / 5

⇒ S.P = 4 x / 5

The shopkeeper loses Rs 200 .

Loss = C.P - S.P

⇒ C.P = Loss + S.P

⇒ C.P = 200 + 4 x / 5

⇒ C.P = ( 1000 + 4 x )/5

Now if he allows 10 % discount then the gain is Rs 150 .

Gain = S.P - C.P

⇒ S.P = Gain + C.P

⇒ S.P = 150 + ( 1000 + 4 x )/5

⇒ S.P = ( 750 + 1000 + 4 x )/5

⇒ S.P = ( 1750 + 4 x )/5

Discount = 10 % of x .

⇒ Discount = 10/100 × x

⇒ Discount = x/10

S.P = M.P - Discount

⇒ ( 1750 + 4 x )/5 = x - x/10

⇒ ( 1750 + 4 x )/5 = 9 x / 10

⇒ 1750 + 4 x = 9 x / 2

⇒ 3500 + 4 x = 9 x

⇒ 9 x - 4 x = 3500

⇒ 5 x = 3500

⇒ x = 3500/5

⇒ x = 700

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.