Question : Find a single discount equivalent to two successive discounts of 12% and 8%.
Option 1: 18.8%
Option 2: 19.04%
Option 3: 19.4%
Option 4: 19.8%
Correct Answer: 19.04%
Solution :
The equivalent single discount to two successive discount $x$% and $y$% is $(x + y - \frac{xy}{100})$%
Here $x$ = 8 and $y$ = 12
⇒ Equivalent single discount = $8 + 12 - \frac{8 × 12}{100}= 20 - 0.96= 19.04$%
Hence, the correct answer is 19.04%.
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