Question : A number is first decreased by 28% and then increased by 28%. The number so obtained is 784 less than the original number. Find the value of the original number.
Option 1: 1000
Option 2: 15000
Option 3: 10000
Option 4: 1500
Correct Answer: 10000
Solution : Given: A number is first decreased by 28% and then increased by 28%. We know that, Successive percentage change = $x + y + \frac{xy}{100}$ Here $x = -28$ and $y = 28$ = $-28 + 28 -\frac{28 \times 28}{100}$ = –7.84 The number will decrease by 7.84% 7.84% of the original number = 784 ⇒ $\frac{7.84}{100}\times$ Original Number = 784 ⇒ Original Number = 100 × 100 = 10000 Hence, the correct answer is 10000.
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Question : A number is first increased by 10% and then increased by 20%. The number, so obtained, is now decreased by 12%. What is the net increase or decrease percent in the original number?
Option 1: 16.16% increase
Option 2: 14.14% decrease
Option 3: 11.11% decrease
Option 4: 12.12% increase
Question : The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number.
Option 1: 7.2
Option 2: 0.8
Option 3: 720
Option 4: 80
Question : A number is first increased by 40% and then decreased by 25%, again increased by 15% and then decreased by 20%. What is the net increase/decrease percentage in the number?
Option 1: 7.2% decrease
Option 2: 6.4% increase
Option 3: 3.4% increase
Option 4: 3.4% decrease
Question : The price of an article is first increased by 25% and later on, the price was decreased by 30% due to a reduction in sales. Find the net percentage change in the final price of the article.
Option 1: 11.5% increased
Option 2: 14% decreased
Option 3: 13% increased
Option 4: 12.5% decreased
Question : The length of a rectangle is increased by 10% and breadth is decreased by 10%. The area of the new rectangle is:
Option 1: neither increased nor decreased.
Option 2: increased by 1%.
Option 3: decreased by 2%.
Option 4: decreased by 1%.
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