Question

A man sold two bed sheets at Rs 600 each. On one he gains 20% and on other he loses 25%. How much does he gain or lose in the whole transaction?

Answer 1

$\underline{\underline{\bf SOLUTION :}}$

 

Given :

Selling Price (S.P) of two bed sheets = Rs 600

On one bed sheet the man gained 20%

and one other bed sheet the man loss 25%

 

To be found

How much the man gain or lose in the whole transaction

$\boxed{\boxed{\bf CASE \:\:1}}$

Selling Price (S.P) of one bedsheet = Rs 600

Let Cost Price (C.P) of the bed sheet = Rs 100

Gain = 20% of 100

$\bf Gain = \frac{20}{100}\times 100\\\\= Rs\:\:20$

Therefore,

Selling Price (S.P) = Rs 120

If Selling Price (S.P) is Rs 120, then Cost Price (C.P) = Rs 100

$\bf If \:\:Selling\:\: Price (S.P) \:\:is \:\:Rs\:\: 600, then\\\\ Cost\:\: Price (C.P) = Rs \:(\frac{100}{120}\times 600)\\\\\bf =Rs\:\:500$

   

 

$\boxed{\boxed{\bf CASE \:\:2}}$

Selling Price (S.P) of second bed sheet = Rs 600

Let Cost Price (C.P) of the bed sheet = Rs 100

Loss = 25%

$\bf Loss=\frac{25}{100}\times 100 \\\\=Rs\:\:25$

Therefore,

Selling Price (S.P) = Rs 75

If Selling Price (S.P) is Rs 75, then Cost Price (C.P) = Rs 100

$\bf If \:\:Selling\:\: Price (S.P) \:\:is \:\:Rs\:\: 600, then\\\\ Cost\:\: Price (C.P) = Rs \:(\frac{100}{75}\times 600)\\\\\bf =Rs\:\:800$

Now,

Solving the sum using formula,

Total Cost Price (C.P) = Rs (500 + 800) = Rs 1300

Total Selling Price (S.P) = Rs (600 + 600) = Rs 1200

Loss = Rs 1300 - Rs 1200 = Rs 100

Hence,

Loss - Rs 100

Answer 2

$\underline{\underline{\bf SOLUTION :}}$

Given :

Selling Price (S.P) of two bed sheets = Rs 600

On one bed sheet the man gained 20%

and one other bed sheet the man loss 25%

To be found

How much the man gain or lose in the whole transaction

$\boxed{\boxed{\bf CASE \:\:1}}$

Selling Price (S.P) of one bedsheet = Rs 600

Let Cost Price (C.P) of the bed sheet = Rs 100

$\begin{lgathered}\bf Gain = \frac{20}{100}\times 100\\\\= Rs\:\:20\end{lgathered}$

Therefore,

Selling Price (S.P) = Rs 120

If Selling Price (S.P) is Rs 120, then Cost Price (C.P) = Rs 100

$\begin{lgathered}\bf If \:\:Selling\:\: Price (S.P) \:\:is \:\:Rs\:\: 600, then\\\\ Cost\:\: Price (C.P) = Rs \:(\frac{100}{120}\times 600)\\\\\bf =Rs\:\:500\end{lgathered}$

$\boxed{\boxed{\bf CASE \:\:2}}$

Selling Price (S.P) of second bed sheet = Rs 600

Let Cost Price (C.P) of the bed sheet = Rs 100

Loss = 25%

$\begin{lgathered}\bf Loss=\frac{25}{100}\times 100 \\\\=Rs\:\:25\end{lgathered}$

Therefore,

Selling Price (S.P) = Rs 75

If Selling Price (S.P) is Rs 75, then Cost Price (C.P) = Rs 100

$\begin{lgathered}\bf If \:\:Selling\:\: Price (S.P) \:\:is \:\:Rs\:\: 600, then\\\\ Cost\:\: Price (C.P) = Rs \:(\frac{100}{75}\times 600)\\\\\bf =Rs\:\:800\end{lgathered}$

Now,

Solving the sum using formula,

Total Cost Price (C.P) = Rs (500 + 800) = Rs 1300

Total Selling Price (S.P) = Rs (600 + 600) = Rs 1200

Loss = Rs 1300 - Rs 1200 = Rs 100

Hence,

Loss - Rs 100