Question

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

Answer 1

$\huge{\bigstar\mathfrak{\underline{\underline{\red{Solution:}}}}}$

$\bf{\large{Let\:the\:M.P\: of\:one\:saree=100}}$

$\bf{\large{Discount\:25\: Percent}}$

$\bf{\large{Discount = \frac{Discount\: Percent}{100} \times mp = \frac{25}{100} = 25}}$

$\bf{\large{Hence, S.P.\: of \:one \:saree = M.P. - Discount= 100-25 = 75}}$

$\bf{\large{Profit=20\: Percent}}$

$\bf{\large{C.P. \:of\:one\:saree= \frac {S.P.\times100}{100+Profit\: Percent}=\frac{75 \times 100}{100 + 20} }}$

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

$\bf{\large{Thus,\:Gain\:= S.P. - C.P. = 75-62.50=12.50}}$

$\bf{\large{Now,\:If\:the\:gain\:is\:12.50,\:then\:M.P.= 100}}$

$\tt{\large{\blue{If\:the\:gain\:is\:1,\:then\:M.P. = \frac{100}{12.5} }}}$

$\tt{\large{\blue{If\:the\:gain\:is\:255,\:then\:,M.P. = \frac{100 }{12.5} \times 255}}}$

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

$\huge{\bf{\fbox{\fbox{\pink{Hence, \:the\:marked\: price\:of\:a\:saree\:is\:1,800}}}}}$

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Answer 2

Answer:

1800 is the answer

Step-by-step explanation:

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