On decreasing the price of T.V. sets by 30 % its sale is increased by 20 %. What is the effect on the revenue received by the shopkeeper?
Correct answer: D. 16 % decrease
- A. 10 % increase
- B. 10 % decrease
- C. 16 % increase
- D. 16 % decrease
Explanation
Take the original price and sales as 100 units each, so original revenue is 100 x 100 = 10,000 revenue units. The new revenue is 70 x 120 = 8,400 revenue units, a decrease of 1,600 / 10,000 x 100 = 16%. The likely error is option b, 10% decrease, from subtracting the 20% sales increase from the 30% price decrease instead of multiplying the changes.
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About Percentages
Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.
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