Question

50 points


A shopkeeper allows 25% discount on the marked price of the sarees and still makes a profit of 20%. If he gains rupees over the sale of one saree, find the marked price of the saree.​

Answer 1

Answer:

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Answer 2

Solution

Let the M.P. of one saree = $100 Discount = 25%

Therefore

$discount = \frac{discount\%}{100} \times m.p.$

$= \frac{25}{100} \times 100 = 25$

Hence, S.P. of one saree = M.P. - Discount

$= 100 - 25 = 75$

Profit = 20%

Therefore C.P. of one saree

$= \frac{s.p. \times 100}{100 + profit\%} = \frac{75 \times 100}{100 + 20}$

$= \frac{75 \times 100}{120} = 62.50$

Thus, Gain = S.P. - C.P. = 75 - 62.50 = 12.50

Now, If the gain is 12.50, then M.P. = 100

$if \: the \: gain \: is \: 1 \: then \: m.p. \: = \: \frac{100}{12.5}$

$therefore \: if \: the \: gain \: is \: 255 \: then \\ \: m.p. = \frac{100}{12.5} \times 255$

$= \frac{100 \times 225 \times 10}{125} = 1800$

Hence, the marked price of a saree is $1,800.