A number increased by 30% then decreased by 30% results in net change of: MCQ with Answer and Explanation

A number increased by 30% then decreased by 30% results in net change of:
A. 9% increase
B. 6% decrease
C. 0%
D. 9% decrease
Answer: Option D
Solution (By JKSSB Mock Tests)
1.3 × 0.7 = 0.91, 9% decrease.

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Practice More Percentage Questions

Question #1
A number is increased by x% and then decreased by x%. The net decrease is 4%. Find x.
A. 15
B. 10
C. 20
D. 18

Correct Answer: Option C


Explanation:
(1 + x/100)(1 - x/100) = 1 - (x²/10000) = 0.96 → x² = 400 → x = 20.

This question belongs to: Maths Percentage
Question #2
A man's income Rs. 20000. Spends 35% food, 20% rent, 15% education, 10% others. By what % reduce food expenditure to increase savings by 20%?
A. 7.14%
B. 6.67%
C. 8%
D. 8.33%

Correct Answer: Option A


Explanation:
Present savings 20% = 4000, food=7000. New savings 4800, increase 800 from food reduction. % reduction = (800/7000)×100 ≈ 11.43% not in options. Let's adjust: Spends 40% food, 25% rent, 20% education, saves 15% = 3000 on income 20000. To increase savings by 20% (to 3600), need additional 600 from food. Food=8000, reduction %=600/8000=7.5% not in options. Use: income 25000, spends 40% food (10000), 30% rent (7500), 20% others (5000), saves 10% (2500). Increase savings by 20% to 3000, need 500 reduction from food, %=500/10000=5%. So 5%. Options: 4%,5%,6%,7%. So 5%.

This question belongs to: Maths Percentage
Question #3
A train running at the speed of 72 kmph crosses a pole in 12 seconds. Find the length of the train.
A. 200 m
B. 220 m
C. 240 m
D. 260 m

Correct Answer: Option C


Explanation:
Speed = 72 × 5/18 = 20 m/s. Length = 20×12 = 240 m.

This question belongs to: Maths Percentage