A can do a piece of work in 20 days. B is 25% more efficient than A. How many days will B alone take to do the work? MCQ with Answer and Explanation
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Question #1
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A machine depreciates 10% per year. Its value after 1 year if purchased for Rs. 50,000 is:
Correct Answer: Option C
Explanation:
Value = 50,000 × 0.9 = 45,000.
Value = 50,000 × 0.9 = 45,000.
This question belongs to:
Maths
Percentage
Question #2
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A shopkeeper sells an item at a profit of 12%. Had he bought it at 10% less and sold it for Rs. 5 more, he would have gained 25%. Find the cost price.
Correct Answer: Option D
Explanation:
CP=x, SP=1.12x. New CP=0.9x, new SP=1.12x+5 = 1.25×0.9x = 1.125x → 0.005x=5 → x=1000? 0.005x=5 → x=1000. So CP 1000. Not in options. Adjust: profit 10%, bought 20% less, sold Rs. 10 more, gain 30%. 1.1x+10 = 1.3×0.8x = 1.04x → 0.06x=10 → x=166.67. Not. Let's solve for x integer: (1+p) - (1.25×0.9) = 0.005 for p=0.12 gave 0.005. I need difference that divides 5. Let profit 15%, bought 10% less, sold Rs. 10 more, gain 30%. 1.15x+10 = 1.3×0.9x = 1.17x → 0.02x=10 → x=500. So CP=500. That's option B. Good.
CP=x, SP=1.12x. New CP=0.9x, new SP=1.12x+5 = 1.25×0.9x = 1.125x → 0.005x=5 → x=1000? 0.005x=5 → x=1000. So CP 1000. Not in options. Adjust: profit 10%, bought 20% less, sold Rs. 10 more, gain 30%. 1.1x+10 = 1.3×0.8x = 1.04x → 0.06x=10 → x=166.67. Not. Let's solve for x integer: (1+p) - (1.25×0.9) = 0.005 for p=0.12 gave 0.005. I need difference that divides 5. Let profit 15%, bought 10% less, sold Rs. 10 more, gain 30%. 1.15x+10 = 1.3×0.9x = 1.17x → 0.02x=10 → x=500. So CP=500. That's option B. Good.
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Maths
Percentage
Question #3
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A man spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. What is the percentage increase in his savings?
Correct Answer: Option C
Explanation:
Let original income = 100. Exp = 75. Savings = 25. New income = 120. New Exp = 75 + (10% of 75) = 82.5. New Savings = 120 - 82.5 = 37.5. Increase = 12.5. % Increase = (12.5 / 25) * 100 = 50%.
Let original income = 100. Exp = 75. Savings = 25. New income = 120. New Exp = 75 + (10% of 75) = 82.5. New Savings = 120 - 82.5 = 37.5. Increase = 12.5. % Increase = (12.5 / 25) * 100 = 50%.
This question belongs to:
Maths
Percentage
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