Question

6. my friend collects antique stamps. She purchased two, but found that she needed to raise money urgently. So she sold them for rs. 8000 each. On one she made 20% and on the other she lost 20%. How much did she gain or lose in the entire transaction?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer: Loss of 4%

Step-by-step explanation:

Let the CP of Stamp = Rs. x

SP of each stamp = Rs. 8000

There is profit of 20% on first stamp

So CP of first stamp is

$CP = x+ 20\% \text { of } x= 8000\\\\\Rightarrow x+ \dfrac{20}{100} \times x= 8000\\\\\Rightarrow \dfrac{6x}{5} =8000\\\\\Rightarrow x= Rs. 6666.67$

There is a loss of 20% on second stamp

So CP of second stamp

$CP = x- 20\% \text { of } x= 8000\\\\\Rightarrow x- \dfrac{20}{100} \times x= 8000\\\\\Rightarrow\dfrac{4x}{5} =8000\\\\\Rightarrow x=Rs. 10000$

Total SP = 2 x 8000 = Rs 16000

Total CP =  6666.67 + 10000 = Rs 16666.67

CP > Sp  Loss occur

Loss = CP - SP = 16666.67- 16000 = Rs. 666.67

Percentage of loss $=\dfrac{loss}{CP} \times 100= \dfrac{666.67}{16666.67} \times 100\approx 4\%$

Hence, there is a loss of 4% in the whole transaction