Question

a shop keeper earns 15% profit on a shirt even after allowing 31% discount on the marked price if the marked price is Rs. 1250 then the cost price of the shirt. By lavi antal

Answer 1

thanks and hope you understand it

Answer 2

Answer:

$\red {Cost\:price \: of \: the \:shirt }\green {=Rs\:750}$

Step-by-step explanation:

i) Marked price of the shirt(m.p) = Rs 1250

Discount (d) = 31%,

$\boxed {\pink {Selling \:price = m.p \left(\frac{ 100-d)}{100}\right)}}$

$s.p = 1250 \left( \frac{100-31}{100}\right)$

$= 1250 \times \frac{69}{100}\\= Rs\:862.50$

$ii) Let \: cost \:price \: of \:shirt = Rs \:x$

$s.p = Rs \: 862.50$

$Gain (g) = 15\%$

$\boxed {\pink { c.p = \frac{s.p \times 100}{(100+g)}}}$

$x = \frac{862.50 \times 100}{(100+15)}\\=\frac{86250}{115}\\=Rs\:750$

Therefore.,

$\red {Cost\:price \: of \: the \:shirt }\green {=Rs\:750}$

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