Discussion
If a shop gives 30% discount and then provides another 20% discount, then the total discount will be
Answer: C
The total discount is 44%.
Successive discounts multiply rather than add. After 30% off, 70% of the price remains; after a further 20% off, 80% of that remains:
\[ \begin{aligned} 0.70 \times 0.80 &= 0.56 \\ 1 - 0.56 &= 0.44 = 44\% \end{aligned} \]
The shortcut for successive discounts is a + b - ab/100 = 30 + 20 - 6 = 44. 50% is the mistake of simply adding the two discounts, and 56% is the share of the price that is still paid, not the discount.
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