A student multiplied a number by 5/3 instead of 3/5. What is the percentage error? MCQ with Answer and Explanation

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A student multiplied a number by 5/3 instead of 3/5. What is the percentage error?

A. 177.77%

B. 100%

C. 150%

D. 64%

Answer: Option A

Solution (By JKSSB Mock Tests)

True = 3/5x. False = 5/3x. Error = (5/3 - 3/5)x = (16/15)x. % Error = ((16/15) / (3/5)) * 100 = (16/9) * 100 = 177.77%.

This question belongs to: Maths Percentage

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Question #1

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A shopkeeper sells an article at 10% profit. Had he bought it at 20% less and sold it for Rs. 12 less, he would have gained 30%. Find the cost price.

A. Rs. 150

B. Rs. 180

C. Rs. 200

D. Rs. 220

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Correct Answer: Option C

Explanation:
CP=x, SP=1.1x. New CP=0.8x, new SP=1.1x-12 = 1.3×0.8x = 1.04x → 0.06x=12 → x=200.

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Question #2

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A man spends 80% of his income. His income increases by 30% and his expenditure increases by 20%. What is the percentage increase in his savings?

A. 70%

B. 80%

C. 60%

D. 50%

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Correct Answer: Option A

Explanation:
Let income = 100. Exp = 80. Sav = 20. New income = 130. New Exp = 80 * 1.2 = 96. New Sav = 130 - 96 = 34. Increase = 14. % Increase = (14 / 20) * 100 = 70%.

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Question #3

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What percent is 400 g of 4 kg?

A. 12.5%

B. 10%

C. 12%

D. 8%

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Correct Answer: Option B

Explanation:
4 kg = 4000 g, (400/4000)×100 = 10%.

This question belongs to: Maths Percentage

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