When a shop offers 'Two Successive Discounts of 10% and 20%', many students wrongly add them to get 30%. This is incorrect! A successive discount means you apply one discount on the reduced price, not the original price.
Formula: Equivalent Single Discount = x + y − xy/100.
Key Rule: Successive discounts are NEVER simply added together.
Real World: Used in trading, wholesale, and retail discounts.
If two successive discounts are x% and y%, the equivalent single discount is:
Equivalent Discount = x + y − (xy/100) %
Example: Successive discounts of 10% and 20%: = 10 + 20 − (10×20/100) = 30 − 2 = 28% (not 30%!)
If the Marked Price = ₹1000, with successive discounts of 10% and 20%:
For three successive discounts x, y, z: first compute the equivalent of x and y, then compute that result's equivalent with z.
The single equivalent discount for two successive discounts x% and y% is: x + y − (xy/100)%.
No. Two successive discounts of 10% give an equivalent single discount of 10 + 10 − (10×10/100) = 19%, not 20%.
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