Question

20. A cycle merchant allows 20% discount on the marked price of the cycles and still
makes a profit of 20%. If he gains Rs 360 over the sale of one cycle, find the marked price of cycle?
​

Answer 1

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Given :

Discount = 20 %

Profit percentage = 20 %

Profit = Rs. 360.

According to the question :

CP = Profit × 100 / 20

=> 360 × 100 / 20

=> Rs. 1800.

SP = CP + Profit

=> 1800 + 360

=> Rs. 2160.

MP = SP × 100 / 100 - Discount

=> 2160 × 100 / 100 - 20

=> 2160 × 100 / 80

=> Rs. 2700.

Therefore MP = Rs. 2700.

Answer 2

Question:-

A cycle merchant allows 20% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs 360 over the sale of one cycle, find the marked price of cycle?

Solution:-

Given:- a) A cycle merchant allows 20% discount on the marked price of the cycles & still makes a profit of 20%. {discount percent = 20% & profit percent = 20%}

b) He gains Rs 360 over the sale of one cycle. {profit on one cycle = 360}

Find:- the marked price of cycle?

So now

{From ( a ) & ( b )}

we know that 20% profit is Rs 360

=> To find one percent ( 1% )

=> one percent ( 1% ) = 360/20

=> one percent ( 1% ) = Rs 18

To find 100% mean's to find cost price

=> cost price of one cycle = 18 × 100

=> cost price of one cycle = Rs 1800

let cost price of one cycle be X so,

=> X = Rs 1800 ....... ( 1 )

Now to find selling price of one cycle

{ let, profit on one cycle be Y & selling price on one cycle be Z }

=> Z = X + Y

=> Z = 1800 + 360

=> Z = Rs 2160 ....... ( 2 )

To find selling percent of cycle's now

{ From ( a ) } let we take percentage of market price be 100% to find selling percent

=> selling percent = 100% - 20%

=> selling percent = 80%

{ selling percent be S% }

=> S% = 80% ....... ( 3 )

To find market price of cycle

let Market price be M.P

{from ( 2 ) & ( 3 )}

So now

=> { ( Z )/( M.P ) }×100 = S%

=> {( 1260)/(M.P)}×100 = 80 i.e.

=> M.P = {(1260)/(80)}×100

=> M.P = {15.75}×100

=> M.P = Rs 1575

Hence market price of cycle is

Rs 1575.

i hope it helps you.