Question

A shopkeeper allows 25 percent discount on the marked price of sarees and still makes a profit of 20 percent and if he gains 225 rupees over one saree ,find marked price of saree.

Answer 1

Step-by-step explanation:

Given: 20% of CP = Rs.225/- (1)

75% of Marked Price = 120% of CP ( deduced)

Since 20% of CP = 225, CP= 225×5=1125

120% of ÇP = CP+Profit or 225+1125=1350

So 75% of Marked Price = 1350

Therefore 100% of Marked Price =100×1350÷75

Or Rs.1800.

Therefore Marked Price of the Saree is Rs.1800/-

Answer 2

Answer:

$\huge\sf{Solution} \:$

Let the M.P of one saree = ₹100

Discount = 25%

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

$\mathcal\blue{ = rs \frac{25}{100} \times 100 = rs \: 25 }$

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

$\mathcal\green{ = rs \: 100 - rs \: 25 = rs \: 75}$

$\huge\mathcal\purple{profit = 20\% }$

$\sf{c.p \: of \: one \: saree = \frac{s.p \times 100}{100 + profit\%} }$

$\mathcal\orange{ = rs \: \frac{75 \times 100}{100 + 20} }$

$\mathtt\red{ = rs \: \frac{75 \times 100}{120} = rs \: 62.50 }$

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

$\mathcal\blue{ = rs \: \frac{100}{12.5} }$

: . If the gain is ₹225 , then M.P =

$\mathcal\green{ rs \: \frac{100}{12.5} \times 225 }$

$\mathtt\pink{ = \frac{100 \times 225 \times 10}{125} = rs \: 1800}$

Hence, the marked price of a saree is ₹1,800

Step-by-step explanation:

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