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Question

When the price of TV set was increased by $$30\%$$, then number of TV sets sold decreased by $$20\%$$. What was the effect on the sales?


A
5% decrease
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B
7% increase
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C
6% decrease
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D
4% increase
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Solution

The correct option is D $$4\%$$ increase
Let initial price by $$x$$ & TV sold $$=y$$
Change in sale $$=$$ $$(1.3\times x)(0.8y)-xy$$
$$\therefore $$ change in sale $$=1.04xy-xy=0.04xy$$
Percent increase/decrease $$=\displaystyle\left[\frac{0.04xy}{xy}\times 100\right]=4\%$$ increase.

Mathematics

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