Question 78

When the price of an item was reduced by 25%, then its sale was increased by x% . If there is an increase of 20% in the receipt of the revenue, then the value of x will be:

Solution

Revenue = price $$\times$$ sale
Let the price and sale be Rs.100 and 100 units.
Revenue = 100 $$\times$$ 100 = Rs.10000
ATQ,
1.2Revenue = 100 $$\times \frac{75}{100} \times (100 + x)
1.2 $$\times 10000 = 75 \times (100 + x)
120000 = 75 \times (100 + x)
x = 160 - 100 = 60


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