Kajal offers two successive discounts of 10% and 8% on the sale of a cosmetic item to her customer. What is the equivalent single percentage discount offered by Kajal?
- A17.80%
- B17.60%
- C17.40%
- D17.20%
Solution & Step-by-step Explanation
The formula for the single equivalent discount for two successive discounts of a% and b% is given by:
Equivalent Discount=(a+b−
100
a×b
)%
Given a=10% and b=8%:
Equivalent Discount=(10+8−
100
10×8
)%
=(18−
100
80
)%
=18−0.8=17.20%
Equivalent Discount=(a+b−
100
a×b
)%
Given a=10% and b=8%:
Equivalent Discount=(10+8−
100
10×8
)%
=(18−
100
80
)%
=18−0.8=17.20%