Question

vipin bought some item for a discount of 25% of the face value and earned 30% profit by selling it in 130.then find the face value of the item.

Answer 1

$<b>ANSWER<b>$

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GIVEN

Discount on face value = 25 %

Profit on selling = 30 %

S.P. = ₹ 130

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SOLUTION

Let the price at which the object was bought be C.P.

C.P. = ?

$c.p. \: = \: \frac{100}{(100 + \: profit \: \%)} \: \times \:s.p. \\ \\ = > \frac{100}{100 + 30} \: \times \: 130 \\ \\ = > \frac{100}{130} \: \times \: 130 \\ \\ = > \: 100$

C.P. = ₹ 100

Face value = ?

Let the face value be x

Here, for the face value , the C.P. is the S.P.

$x \: = \: \frac{100}{(100 \: - \: discount \: \%)} \: \times \: s.p. \\ \\ = > \frac{100}{100 - 25} \: \times \: 100 \\ \\ = > \frac{100}{75} \times 100 \\ \\ = > 133.3$

ANS ) The face value is ₹ 133.3

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#Be Brainly

Answer 2

$\large\underline\bold{Given:\longrightarrow}$

Discount percent = 25 %

Profit percent = 30 %

Selling Price ( SP ) = ₹ 130

$\large\underline\bold{Solution:\longrightarrow}$

Let the Marked Price be ₹ x.

Hence,

Cost Price of the item = x - 25 % of x
CP = x - 25/100 * x
CP = x - 1/4 x
CP = x - x / 4
CP = 3x / 4

Now,

Selling Price ( SP ) = CP + Profit
130 = 3x/4 + 30 % of 3x/4
130 = 3x/4 + 9x/40
130 = ( 30x + 9x ) / 40
130 = 39x / 40
39x = 130 * 40
x = ( 130 * 40 ) / 39
x = 5200 / 39
x = ₹ 133.3333...
x = ₹ 133.34 ( approx. )

Hence,

Face value of the item = ₹ x = ₹ 133.34