Ravi sells his goods at a 25% loss on cost price but uses 45% less weight. What is his percentage profit or loss?

Correct option is D

Given:
Loss = 25%
Uses less weight = 45%
Formula Used:
Loss percent =  $$\frac{( CP -SP)}{ CP}×100 \%$$​​
Solution:
Let the cost price be 100
Then, SP = 75
Also uses 45% less weight, so he uses 55% of weight
So, SP of 55% weight of goods = 75
1% weight of goods SP =  $$\frac{75}{ 55}$$​

45% weight of goods SP = $$\frac{75}{55}×45= \frac{675}{ 11}$$​​

Total SP = $$75 +\frac{ 675}{11} = \frac{( 825+675)}{11}=\frac{1500}{11}$$​​
SP > CP so, Ravi has profit,
Profit percent = $$\frac{( \frac{1500}{11}-100)}{100}×100 = \frac{400}{ 11} = 36\frac{ 4}{11}\%$$​​
Alternate Method:
25% = $$\frac{1}{ 4}$$​ due to loss SP = 4 – 1 = 3 , CP = 3
45% weight less =$$\frac{9}{20}$$​ from here we can say that
CP = 20 – 9 = 11 ,
SP = 20

Profit = 60 – 44 = 16
Profit % =  $$\frac{16}{44}×100= \frac{400}{11} = 36 \frac{4}{ 11} \%$$​