If the price of an article is increased by per cent p, then the decrease in per cent of sales must not exceed d in order to yield the same income. The value of d is
11+p
11−p
pp−1
1−p1+p
p1+p
A
p1+p
B
1−p1+p
C
11+p
D
11−p
E
pp−1
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Solution
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The correct option is Cp1+p Let s be the price of the article, n the number of sales. Then [(1+p)s][(1−d)n]=snm p−d−pd=0,d=p/(1+p).
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