Question

Find C.P when S.P. = 360; loss = 10%​

Answer 1

${\large{\green{\mathfrak{Solution:-}}}}$

$\underline\mathbb{GIVEN:-}$

Sell Price = ₹360

Loss = 10%

$\underline\mathbb{TO \:FIND:-}$

The Cost Price.

$\underline\mathbb{ASSUMPTION:-}$

Let, Cost Price be ₹x

$\underline\mathbb{FORMULA:-}$

   $Loss\: Percentage=\frac{Loss}{Cost \:Price} \times 100$

Loss = Cost Price - Sell Price

$\underline\mathbb{BY \:THE\: PROBLEM:-}$

$Loss\: Percentage=\frac{Loss}{Cost\: Price} \times 100\\ 10 = \frac{Loss }{Cost\: Price} \times100\\ 10=\frac{(Cost \:Price - Sell \: Price)}{Cost \:Price} \times 100\\ 10 \times Cost\: Price=100\times (Cost \:Price-360)\\ 10\:Cost \:Price = 100 \:Cost\:Price\:-\:36000\\ 100 \:Cost\: Price - 10 \:Cost\: Price = 36000\\ 90\:Cost\:Price= 36000\\ Cost \:Price = \frac{36000}{90} =₹ 400$

$\underline\mathbb{ANSWER:-}\\ \implies \fbox{Cost \:Price = ₹ 400}$