By selling 90 ball pens for Rs. 160, a person loses 20%. How many ball pens should be sold for Rs. 96 so as to have a profit of 20%? MCQ with Answer and Explanation

Question

By selling 90 ball pens for Rs. 160, a person loses 20%. How many ball pens should be sold for Rs. 96 so as to have a profit of 20%?

A. 24

B. 40

C. 36

D. 32

Answer: Option C

Solution (By JKSSB Mock Tests)

SP of 90 pens = 160. SP of 1 pen = 160/90 = 16/9. Loss = 20%, so CP of 1 pen = (16/9) / 0.8 = 20/9. Desired SP for 20% profit = 1.2 * (20/9) = 24/9 = 8/3. Number of pens for Rs. 96 = 96 / (8/3) = 96 * 3 / 8 = 36.

This question belongs to: Maths Profit And Loss

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Question #1

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A man sells an item for Rs. 450, gaining 12.5%. What is the cost price?

A. Rs. 410

B. Rs. 380

C. Rs. 400

D. Rs. 420

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Correct Answer: Option C

Explanation:
CP = 450 / 1.125 = 400.

This question belongs to: Maths Profit And Loss

Question #2

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A shopkeeper marks his goods at 20% above the cost price and allows a discount of 10%. What is his net profit percentage?

A. 12%

B. 10%

C. 8%

D. 15%

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Correct Answer: Option C

Explanation:
Let Cost Price = 100. Marked Price = 120. Selling Price after 10% discount = 120 * 0.90 = 108. Profit = 108 - 100 = 8. Net profit percentage = 8%.

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Question #3

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A shopkeeper gives 1 article free on the purchase of every 4 articles. He also allows an additional discount of 20%. Find his total net discount percentage.

A. 40%

B. 36%

C. 45%

D. 44%

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Correct Answer: Option B

Explanation:
Customer gets 5 articles but pays for 4. Discount from free item = (1/5) * 100 = 20%. Two successive discounts of 20% and 20%. Equivalent discount = 20 + 20 - (400/100) = 36%.

This question belongs to: Maths Profit And Loss

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