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Q.

The price of an article is reduced by 25% but the daily sale of the article is increased by 30%. The net effect on the daily sale receipts is

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a

212 %

decrease

b

212 %

increase

c

2 %

decrease

d

2 %

increase

answer is A.

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Detailed Solution

Concept:
First, we'll assume that an article costs

Rs . x and sells y units each day .

We now understand that the daily sale revenues are equal to the product of the price of a thing and its daily sale.
So, the daily sale receipts can be written as xy.
A 25% discount is applied to an item's price based on the conditions.
As a result, an item's lowered price becomes,

x - 25 % (x) = x - \frac{25}{100} (x) = x - \frac{1}{4} (x) = x \frac{3}{4}

Also, daily sales of the article[25] have increased by 30%.
Therefore, increased daily sale becomes,

y + 30 % (y) = y + \frac{30}{100} (y) = y + \frac{3}{10} (y) = \frac{13}{10} y = \frac{3}{4} x (\frac{13}{10} y) = \frac{39}{40} xy

Find the change in daily sale receipts.

\frac{39}{40} xy - xy = - \frac{xy}{40}

Therefore, the rate of change can be calculated using the formula, change in value/original

value \times 100

change in value original

value \times 100

So, the net effect on the daily sale receipts is

212 % decrease .

Hence, the correct option is 1.

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