Question

Mehak bought two sarres for Rs. 3360. She sold one at a loss of 10 % and the other at the gain of 20 %. If the Selling price of each saree is, Find the Cost of each sarre. ​

Answer 1

Given : ↴

$\sf \: It \: is \: given \: that \: Mehak \: bought \:two \: sarres \:for \:Rs. \:3360.$

$\sf \:She \: sold \: one \: at \: Loss \:of\: 10\% \:$

$\sf \: And \: another \: at \: Gain\:of\: 20\% \:$

To find : ↴

$\sf \: We\: have \: to \: Find \: the \: Cost \: \:price \:of\: each \:saree.\:$

So, Let's Start : ↴

$\sf \: S.P \: of \: Saree \: -1 \: = \: x$

$\sf \: Loss \: = \: 10 \: \%$

$\sf \: CP \: = \: \cfrac{100}{100 - loss \%} \times SP$

$\sf \: CP \: = \: \cfrac{100}{100 - 10} \times \: x$

$\sf \: CP \: = \: \cfrac{100}{90} \times \: x$

$\sf \: CP \: = \: \cfrac{10}{9} \: x$

$\sf \: SP \: of \: Sarre \: -2 \: = \: x$

$\sf \: Profit \: = \: 20 \%$

$\sf \: CP \: = \: \cfrac{100}{100 + gain \%} \times SP$

$\sf \: CP \: = \: \cfrac{100}{100 +20} \times \: x$

$\sf \: CP \: = \: \cfrac{100}{120} \: \times \: x$

$\sf \: CP \: = \: \cfrac{5}{6} \: \: x$

$\sf \: According \: to \: the \: question :$ ↴

$\sf \: \cfrac{10}{9} \: x \: + \: \cfrac{5}{6} \: x \: = \: 3360$

$\sf \: \cfrac{20 + 15}{18} \: x \: = \: 3360$

$\sf \: x \: = \cfrac{3360 \times 18}{35}$

$\sf \: x \: = \: Rs. 1728$

$\sf \: So, \: the \: SP \: of \: each \: Sari \: is \: Rs. 1728$

$\sf \: Now \: CP \: of \: Sari \: -1 \: = \: \cfrac{10}{9} \: x \: = \: \cfrac{10}{9} \: \times \: 1728 \: = \: Rs. \: 1920$

$\sf \: Now \: CP \: of \: Sari \: -2 \: \: = \: \cfrac{5}{6} \: x \: = \: \cfrac{5}{6} \: \times \: 1728 \: = \: Rs. \: 1440$