Side of square increased 10%. % increase in area: MCQ with Answer and Explanation
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Question #1
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Price reduced 20%, enables buying 5 kg more for Rs. 120. Reduced price/kg:
Correct Answer: Option D
Explanation:
Original x, xy=120. New 0.8x(y+5)=120 → 0.8×120 + 4x =120 → 96+4x=120 → 4x=24 → x=6, reduced 4.8? Wait: original x=6, reduced price = 0.8*6=4.8, option C. Check: original 6 per kg, 20 kg for 120. Reduced 4.8, buys 25 kg for 120, 5 kg more. So reduced price = 4.8. Option C. So answer C.
Original x, xy=120. New 0.8x(y+5)=120 → 0.8×120 + 4x =120 → 96+4x=120 → 4x=24 → x=6, reduced 4.8? Wait: original x=6, reduced price = 0.8*6=4.8, option C. Check: original 6 per kg, 20 kg for 120. Reduced 4.8, buys 25 kg for 120, 5 kg more. So reduced price = 4.8. Option C. So answer C.
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Maths
Percentage
Question #2
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In an election, 20% voters did not vote. Winner got 48% of total votes and won by 2000 votes. Total voters:
Correct Answer: Option B
Explanation:
Let total T. Votes cast = 0.8T. Winner got 0.48T, loser 0.8T - 0.48T = 0.32T. Margin = 0.48T - 0.32T = 0.16T = 2000 → T = 12500.
Let total T. Votes cast = 0.8T. Winner got 0.48T, loser 0.8T - 0.48T = 0.32T. Margin = 0.48T - 0.32T = 0.16T = 2000 → T = 12500.
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Percentage
Question #3
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A number is increased by 15% and then decreased by 15%. If the resulting number is 782, what was the original number?
Correct Answer: Option D
Explanation:
1.15 × 0.85 = 0.9775. 0.9775x = 782 → x = 782/0.9775 = 800.
1.15 × 0.85 = 0.9775. 0.9775x = 782 → x = 782/0.9775 = 800.
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Maths
Percentage
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