Question : A shopkeeper offers the following two discount schemes.
A) Two successive discounts of 10% and 15%
B) Buy 5 get 2 free.
Which scheme has the maximum discount percentage?
Option 1: B does not give any discount
Option 2: B
Option 3: A and B both have the same discount percentage
Option 4: A
Correct Answer: B
Solution :
For the first condition,
We know that two successive discounts of $a$% and $b$% are equivalent to $(a+b-\frac{a×b}{100})\%$
So, two successive discounts of 10% and 15% are equivalent to,
$(10+15-\frac{10×15}{100})=23.5$%
For the second condition,
So, discount = $\frac{7-5}{7}×100=28.57$%
So, the scheme which has the maximum discount is B.
Hence, the correct answer is B.
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