Concept:Use the net multiplier method to combine a percentage increase and successive discounts into one single factor.
Explanation:Let the initial selling price be
100 units.
After a
30% increase, the price becomes
100×100130​=130 units.
After the first
10% discount, the price becomes
130×10090​=117 units.
After the second
10% discount, the price becomes
117×10090​=105.3 units.
Net change in selling price
=105.3−100=5.3 units.
Net percentage change
=1005.3​×100=5.3%.
Since the final value is greater than the initial value, this is a net increase.
As a shortcut, net multiplier
=1.30×0.90×0.90=1.053, which directly gives a
5.3% increase.
Answer:The selling price increases by
5.3%.
The correct option is B.