Question

find C.P when :
S.P = ₹ 1539 and loss = 10 %
​

Answer 1

• GIVEN:-

S.P = ₹ 1539

Loss = 10 %

• To Find:-

CP.

• SOLUTION:-

We know that,

$\large\boxed{\sf{\blue{SP=(1-\dfrac{Loss\%}{100})\times\:CP}}}$

According to the question,

$\large\Rightarrow{\sf{SP=(1-\dfrac{Loss\%}{100})\times\:CP}}$

$\large\Rightarrow{\sf{1539=(1-\dfrac{10\%}{100})\times\:CP}}$

$\large\Rightarrow{\sf{1539=(1-\dfrac{1\cancel{0}}{10\cancel{0}})\times\:CP}}$

$\large\Rightarrow{\sf{1539=(1-\dfrac{1}{10})\times\:CP}}$

$\large\Rightarrow{\sf{1539=(\dfrac{10-1}{10})\times\:CP}}$

$\large\Rightarrow{\sf{1539=\dfrac{9}{10}\times\:CP}}$

$\large\Rightarrow{\sf{\dfrac{1539\times10}{9}=CP}}$

$\large\Rightarrow{\sf{\dfrac{\cancel{15390}}{\cancel{9}}=CP}}$

$\large\therefore\boxed{\bf{CP=₹\:1710}}$

• Now let's verify it:-

We know that,

Loss = CP - SP

= ₹ ( 1710 - 1539 )

= ₹ 171

$\large\Rightarrow{\sf{Loss\%=\dfrac{Loss}{CP}\times100}}$

$\large\Rightarrow{\sf{10\%=\dfrac{171}{1710}\times100}}$

$\large\Rightarrow{\sf{10\%=\dfrac{\cancel{171}}{\cancel{1710}}\times100}}$

$\large\Rightarrow{\sf{10\%=\dfrac{1}{10}\times100}}$

$\large\Rightarrow{\sf{10\%=\dfrac{100}{10}}}$

$\large\Rightarrow{\sf{10\%=\dfrac{10\cancel{0}}{1\cancel{0}}}}$

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

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

$\huge\pink\therefore\boxed{\bf{\pink{CP=₹\:1710}}}$