Question

a what is marked in such a way that after allowing a discount of 10% he gains 26% how much percent above the CP is marked price

Answer 1

let the cost price be ' x ' and the market price be ' y '

gain = 26 %

Find the gain :
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gain = 26 % of cost price

gain = 26% of x = Rs 0.26x

Find the selling price :
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selling price = cost price + gain

= x + 0.26x = Rs 1.26 x

discount allowed = 10% of market price

= 10% of y = Rs 0.1 y

market price = selling price + discount

y = 1.26x + 0.1 y

y - 0.1y = 1.26 x

0.9y = 1.26 x => 9y/ 10 = 126x/ 100

y = 1260x / 900 => y = Rs 1.4 x

Find the difference b/w m.p and c.p:
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difference = 1.4x - x =Rs 0.4 x

Find the difference % :
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difference% = difference × 100 / cost price

= 0.4x × 100 / x = 40%

Answer: marked price is 40 % above the cost price.

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Answer 2

CONCEPT:

Here the concepts of gain and loss in market are used.

selling price=cost price +gain.

market price=selling price+ discount.

GIVEN:

hopes the given term "marked price" in the question should be readed as market price

discount given is 10%

gain=26% of cost price

FIND:

Find how much percent above the cost price is the market price.

SOLUTION:

let the cost price 'c' and market price 'm'

Gain is 26 percentage of cost price c

so gain=26% of c = 0.26c rupees.

selling price =cost price+ gain

selling price =0.26c+c=1.26c rupees

There is a 10 percent discount. Discount is given in the market price

so discount given=10% of m =0.1m rupees.

market price=selling price+ discount=1.26c+0.1m .

m=1.26c+0.1m

m-0.1m=1.26c

0.9m=1.26c

m=1.26c/0.9=1.4c

so the market price=1.4c

cost price=c

let the percent of market price above cost price be x

so c+c*x/100=1.4c

c(1+x/100)=1.4c

1+X/100=1.4

by multiplication

100+x=140

x=40%

so market price is 40% above the cost price

#SJP3