Entry fee in an exhibition was Rs 1. Later this was reduced by 25% which increased the sale by 20%. Find the percentage increase in the number of visitors.

30 %

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45 %

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60 %

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75 %

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Solution

The correct option is C 60 %
Let the number of visitors be x. Then as entry fee Rs.1 Sale $= x \times R s .1 = R s x$
Reduced entry fee $= R s .0 .75$
Increased sale $= x + 20 % o f x = R s .1 .2 x$
Then increased number of visitors $= \frac{R s .1 .2 x}{R s .0 .75} = 1.6 x$
$∴ % i n c r e a s e = (\frac{(1.6 x - x)}{x} \times 100) % = (0.6 \times 100) % = 60 %$

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Entry fee in an exhibition was Rs 1. Later this was reduced by 25% which increased the sale by 20%. Find the percentage increase in the number of visitors.

The correct option is C 60 %Let the number of visitors be x. Then as entry fee Rs.1 Sale =x×Rs.1=RsxReduced entry fee =Rs.0.75Increased sale =x+20%ofx=Rs.1.2xThen increased number of visitors =Rs.1.2xRs.0.75=1.6x∴%increase=((1.6x−x)x×100)%=(0.6×100)%=60%