Question

by selling of an artical for Rs 900, person lost 10%. find the C.P of an artical
​

Answer 1

Answer:

I know that answer par bataunga nhai

Answer 2

GiveN:-

• SP = Rs.900
• Loss% = 10%

To FinD:-

The CP.

SolutioN:-

We know that,

$\large{\green{\underline{\boxed{\bf{SP=\left(1-\dfrac{L\%}{100}\right)\times\:CP}}}}}$

where,

• SP = Rs.900
• L% = 10%
• CP = ?

Putting the values,

$\large\implies{\sf{900=\left(1-\dfrac{10\%}{100}\right)\times\:CP}}$

$\large\implies{\sf{900=\left(1-\dfrac{1\cancel{0}}{10\cancel{0}}\right)\times\:CP}}$

$\large\implies{\sf{900=\left(1-\dfrac{1}{10}\right)\times\:CP}}$

$\large\implies{\sf{900=\left(\dfrac{10-1}{10}\right)\times\:CP}}$

$\large\implies{\sf{900=\dfrac{9}{10}\times\:CP}}$

$\large\implies{\sf{\dfrac{900\times10}{9}=CP}}$

$\large\implies{\sf{\dfrac{9000}{9}=CP}}$

$\large\implies{\sf{\dfrac{\cancel{9000}}{\cancel{9}}=CP}}$

$\large\implies{\sf{Rs.1000=CP}}$

$\large\therefore\boxed{\bf{CP=Rs.1000.}}$

VerificatioN:-

We know that,

$\large{\green{\underline{\boxed{\bf{Loss=CP-SP}}}}}$

where,

• CP = Rs.1000
• SP = Rs.900

Putting the values,

$\large\implies{\sf{Loss=Rs.(1000-900)}}$

$\large\therefore\boxed{\bf{Loss=Rs.100}}$

Now,

$\large{\green{\underline{\boxed{\bf{Loss\%=\dfrac{Loss}{CP}\times100}}}}}$

where,

• Loss = Rs.100
• CP = Rs.1000
• Loss% = 10%

Putting the values,

$\large\implies{\sf{10\%=\dfrac{100}{1000}\times100}}$

$\large\implies{\sf{10\%=\dfrac{1\cancel{00}}{1\cancel{00}\cancel{0}}\times10\cancel{0}}}$

$\large\implies{\sf{10\%=\dfrac{1}{1}\times10}}$

$\large\implies{\sf{10\%=10\%}}$

$\large\therefore\boxed{\bf{LHS=RHS}}$

So,

The Cost Price is Rs.1000.