Question

An item was sold for Rs 400 at a loss of 10%. what was its cost price? ​

Answer 1

Answer:

Hope This Answer Helps You

Answer 2

$\underline{ \pink{ \rm GIVEN \: \: DATA\: \: : }}$

Selling Price(S.P) = ₹ 400

Loss % = 10%

$\underline{ \purple{ \rm TO \: \: FIND \: \: : }}$

Cost Price(C.P)

$\underline{ \red{ \rm SOLUTION \: \: : }}$

As, Loss% = 10%

the item was sold for 400rs

so,

₹ 400 = 100% - 10%

₹ 400 = 90%

Let,

$\rm C.P \: \: \: be \: \: \: ₹x$

• The Item was sold for 90% .

90% - ₹ 400

100% - ₹ (x)

$- - - - - - -$

By Cross Multiplying,

$\rm x = \frac{100 \times \cancel{ 400}}{ \cancel{90} }$

$\rm x = \frac{100 \times 40}{9}$

$\rm x = ₹444. \overline{44}$

$\pink{━━━━} \purple{━━━━} \orange{━━━━} \green{━━━━}$

$\rm The \: \: Cost \: Price \: \: of \: \: the \: \: item \: \: was \: \: ₹444.44$