every year before the festive season, a shopkeeper increases the price of the products by 35% and then introduces two successive discounts of 10% and 15% respectively. what is his percentage loss or gain?

Shopkeeper's Percentage Gain or Loss with Price Increase and Successive

Discounts

Scenario:
Every year before the festive season, a shopkeeper increases the price of products by 35%, then gives two successive discounts of 10% and 15%. What is the overall percentage gain or loss? Step-by-Step Calculation: Let the original cost price (CP) be 100.

1. Increase Price by 35%:
   • New Marked Price (MP) = 100+35% of 100=135100+35%\text{ of }100=135100+35% of 100=135
2. First Discount of 10%:
   • Price after first discount = 135−10% of 135=135−13.5=121.5135-10%\text{ of }135=135-13.5=121.5135−10% of 135=135−13.5=121.5
3. Second Discount of 15%:
   • Price after second discount = 121.5−15% of 121.5=121.5−18.225=103.275121.5-15%\text{ of }121.5=121.5-18.225=103.275121.5−15% of 121.5=121.5−18.225=103.275
4. Compare Final Selling Price (SP) with Cost Price (CP):
   • Final SP = 103.275
   • CP = 100
5. Calculate Percentage Gain:

Percentage Gain=SP−CPCP×100=103.275−100100×100=3.275%\text{Percentage Gain}=\frac{\text{SP}-\text{CP}}{\text{CP}}\times 100=\frac{103.275-100}{100}\times 100=3.275%Percentage Gain=CPSP−CP​×100=100103.275−100​×100=3.275%

Conclusion:
The shopkeeper makes a 3.27% gain by increasing the price by 35% and then offering two successive discounts of 10% and 15%

If you need the formula for two successive discounts, it is:

Net Discount=a+b−ab100\text{Net Discount}=a+b-\frac{ab}{100}Net Discount=a+b−100ab​

where aaa and bbb are the discount percentages.
But for profit/loss, always compare the final selling price to the original cost price.