Question

A men sells a dog at a gain of 10 %. Had he sold it for 490 less, he would have lost 2 %. Find the cost price of
the dog​

Answer 1

Answer:

this is your answer....

Answer 2

$\sf \Large Solution!!$

$\sf \large Given:$

$\sf \to Profit\%=10\%$

$\sf \large So,$

$\sf Let\:the\:CP\:be\:x.$

$\sf \large Now,$

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

$\sf \to SP=\frac{100+10}{100}\times x$

$\sf \to SP=\frac{11\cancel 0}{10\cancel 0}\times x$

$\sf \to SP=\frac{11x}{10}$

$\sf \large Also\:given\:that,\:if\:he\:would\:have\:sold$ $\sf \large it\:for\:Rs.\:490\:less,\:he\:would\:have\:lost$ $\sf \large 2\%.$

$\sf \large So,$

$\sf \to SP=\frac{11x}{10}-490$

$\sf \to Profit\%=10\%-2\%=8\%$

$\sf \large Now,$

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

$\sf \to x=\frac{100}{100+8}\times (\frac{11x}{10}-490)$

$\sf \to x=\frac{10\cancel 0}{108}\times (\frac{11x-4900}{1\cancel 0})$

$\sf \to x=\frac{5}{54}\times (11x-4900)$

$\sf \to x=\frac{55x}{54}-\frac{12,250}{27}$

$\sf \to x=\frac{55x-24,500}{54}$

$\sf \to 54x=55x-24,500$

$\sf \to 54x-55x=-24,500$

$\sf \to -x=-24,500$

$\sf \to \cancel -x=\cancel -24,500$

$\sf \to x=24,500$

$\sf \boxed{\bigstar CP=Rs.\:24,500}$