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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 the cycle.

Answer:

Given, Profit% = 20%

Gain over 1 cycle = Rs 360

Gain% = (gain/CP) × 100 20 = 360/CP × 100

20/100 = 360/CP

CP = Rs 1800

By using the formula,

SP = (100 + gain%)/100 × CP

= (100 + 20)/100 × 1800

= 120/100 × 1800

= Rs 2160

Given, Discount = 20%

MP = (100 × SP) / (100 - Discount %)

= (100 × 2160) / (100 - 20)

= 216000/80

= Rs 2700

∴ The marked price of the cycle is Rs 2700

"hello students i am rita your mass
leader tutor and the today's question is
a cycle merchant allows 20 discount on
the market price of these cycles
and still makes a profit of 20
if he gains rupees 360 over the same
of one cycle find the mark price
of the cycle so first of all in the
question
it is given that gain is
rupees 360 and gain percent is given to
us
profit or gain percent is 20 percent as
we know the formula of
gain percent is equal to gain divided by
cp into 100 so gain percent
is 20 gain divided by
gain is given to us that is 360. so we
put the value
the gain is 360 divided by
cp into 100 therefore
cp is equal to 360 divided by 20
into 100 so zero zero cancel
two ones are two sixteen two weights
it means the cp is equal to
p is 1800
if we got cp then we find the sp also cp
is 1800
and profit is 20 percent
so the sp is equal to the formula of sp
is 100
plus profit percent divided by 100
into cp now we put the
values 100 plus 20 divided by 100
into cp is 1800
so sp is equal to 120 divided by 100
into 1800
two zeros cancel out each other so 120
into 18 120 into 18
becomes 2 100 160
and the formula of sp is marked price
minus discount also so the selling price
is 2160
and we don't know the market price we
let it x and discount is
twenty percent so twenty percent of
x so two one six zero
is equal to x minus twenty percent
twenty by hundred into x twenty ones are
twenty 25
now we take calcium of this 1 and 5 lcm
is 5
so 5 x minus 1 x
so it becomes 2
1 6 0 is equal to
4 by 5 x so
this one becomes 2 1 6 0
into 5 by
into 5
by 4
2 1 6 0
into 5 by 4 now we got the value of x
that is marked price
who opens up profiles at twenty four for
the sixteen
zero so 540 into when we multiply
540 into five
then we got 2700 it means the marked
price is the value of x or we can say
marked price is equal to rupees
27 hundred so this is our answer
i hope you like this video so please
subscribe to for more updates and do
comment your questions thank you "

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