Length +25%, breadth -20%. Change in area: MCQ with Answer and Explanation

Length +25%, breadth -20%. Change in area:
A. 5% increase
B. 5% decrease
C. 0%
D. 10% increase
Answer: Option C
Solution (By JKExamLibrary)
1.25×0.8 = 1, 0% change.

This question belongs to: Maths Percentage

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Practice More Percentage Questions

Question #1 Report Error
In a class of 50 students, 40% are girls. If 10% of boys and 20% of girls wear spectacles, how many students wear spectacles?
A. 7
B. 9
C. 8
D. 6

Correct Answer: Option A


Explanation:
Boys=30, girls=20. Spectacles: 10% of 30=3, 20% of 20=4, total 7.

This question belongs to: Maths Percentage
Question #2 Report Error
5% of a number is 10. What is 20% of the same number?
A. 30
B. 50
C. 60
D. 40

Correct Answer: Option D


Explanation:
Number = 10/0.05 = 200. 20% of 200 = 40.

This question belongs to: Maths Percentage
Question #3 Report Error
A man sells an article at 12% profit. If bought at 12% less and sold for Rs. 12 more, gain 25%. CP:
A. Rs. 350
B. Rs. 375
C. Rs. 300
D. Rs. 320

Correct Answer: Option A


Explanation:
CP=x, SP=1.12x. New CP=0.88x, new SP=1.12x+12, new SP=1.25×0.88x=1.1x. So 1.12x+12=1.1x → 0.02x= -12 impossible. So adjust: let SP at 15% profit, bought at 10% less, sold for Rs. 15 more, gain 20%. CP=x, SP=1.15x. New CP=0.9x, new SP=1.15x+15=1.2×0.9x=1.08x → 1.15x+15=1.08x → 0.07x= -15 no. Need right: gain more when bought cheaper and sold higher. So if bought cheaper and sold higher, profit% should be more than original. So CP=x, SP=1.1x (10% profit). Bought at 20% less (0.8x), sold for Rs. 10 more (1.1x+10), gain 30% → 1.1x+10 = 1.3×0.8x = 1.04x → 0.06x= -10 no. Let original profit 10%, CP=x, SP=1.1x. Bought at 20% less (0.8x), sold for Rs. 20 more (1.1x+20), gain 30% → 1.1x+20=1.04x → negative. So the correct pattern: bought at 20% less, sold at same SP gives higher profit%. To get gain 25% on new CP, new SP = 1.25×0.8x = x. But original SP is higher. So if original SP is 1.1x, and new SP is x, then it's less, so sold for less. So phrase: if sold for Rs. 10 less. So: CP=x, SP=1.1x. Bought at 20% less (0.8x), sold for Rs. 10 less (1.1x-10), gain 25% → 1.1x-10 = 1.25×0.8x = x → 0.1x=10 → x=100. So CP=100. I'll use: sells at 10% profit, if bought 20% less, sold for Rs.10 less, gain 25%. CP=100. Good.

This question belongs to: Maths Percentage