Question

Find the C.P. if
S.P. = ₹2380, profit = 19%​

Answer 1

$\sf \Large Solution!!$

$\sf \large Given,$

$\sf \to SP=Rs.\:2,380$

$\sf \to Profit\%=19\%$

$\sf \large To\:find:$

$\sf \to The\:CP$

$\sf \large Formula\:used:$

$\sf \to CP=\frac{SP\times 100}{100+Profit\%}$

$\sf \large So,$

$\sf \to CP=Rs.\:\frac{2,380\times 100}{100+19}$

$\sf \to CP=Rs.\:\frac{2,38,000}{119}$

$\sf \boxed{\bigstar CP=Rs.\:2,000}$

$\sf \large More\:formulae:$

$\sf \to Loss=CP-SP$

$\sf \to Loss\%=\frac{Loss}{CP}\times 100$

$\sf \to Profit=SP-CP$

$\sf \to Profit\%=\frac{Profit}{CP}\times 100$

$\sf \to CP=\frac{SP\times 100}{100-Loss\%}$

$\sf \to SP=\frac{100+Profit\%}{100}\times CP$

$\sf \to SP=\frac{100-Loss\%}{100}\times CP$

$\sf \large Abbreviations:$

$\sf \to CP\longrightarrow Cost\:price$

$\sf \to SP\longrightarrow Selling\:price$

Thanks for asking!! :)