CAT Question > A person bought two bicycles for Rs. 1600 an...

A person bought two bicycles for Rs. 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get 5 Rs. more. The difference in the cost price of the two bicycles was:

Correct answer is '50'. Can you explain this answer?

Total cost price Rs. 1600 Let CP_{1 }= 600 and CP_{2 }= 1000

Case I, When he sells first at 10% profit and second at 20% profit:

∴ Profit on CP_{1 }= 10% on 600 = Rs. 60

Profit on CP_{2 }= 20% on 1000 = Rs. 200

Total Profit = ₹ 260 ...(i) Case II, When he sells first at 20% profit and second at 10% profit:

∴ Profit on CP_{1 }= 20% on 600 = Rs. 120

Profit on _{2 }= 10% on 1000 = Rs. 100

Total Profit = Rs. 220...(ii)

Difference in Profit [(i)−(ii)} = 260 − 220 Rs.

= Rs. 40

When difference in profit is Rs. 40, then difference in cost price would be Rs. (1000 − 600) = Rs. 400.

When difference in profit is Rs. 5, then difference in cost price would be:

Rs. =((400/40) × 5)

= Rs. 50.

Hence, the correct answer is 50.

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A person bought two bicycles for Rs. 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get 5 Rs. more. The difference in the cost price of the two bicycles was:Correct answer is '50'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A person bought two bicycles for Rs. 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get 5 Rs. more. The difference in the cost price of the two bicycles was:Correct answer is '50'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person bought two bicycles for Rs. 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get 5 Rs. more. The difference in the cost price of the two bicycles was:Correct answer is '50'. Can you explain this answer?.

A person bought two bicycles for Rs. 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get 5 Rs. more. The difference in the cost price of the two bicycles was:Correct answer is '50'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A person bought two bicycles for Rs. 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get 5 Rs. more. The difference in the cost price of the two bicycles was:Correct answer is '50'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person bought two bicycles for Rs. 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get 5 Rs. more. The difference in the cost price of the two bicycles was:Correct answer is '50'. Can you explain this answer?.

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Total cost price Rs. 1600 Let CP1 = 600 and CP2 = 1000Case I, When he sells first at 10% profit and second at 20% profit:∴ Profit on CP1 = 10% on 600 = Rs. 60Profit on CP2 = 20% on 1000 = Rs. 200Total Profit = ₹ 260 ...(i) Case II, When he sells first at 20% profit and second at 10% profit:∴ Profit on CP1 = 20% on 600 = Rs. 120Profit on 2 = 10% on 1000 = Rs. 100Total Profit = Rs. 220...(ii)Difference in Profit [(i)−(ii)} = 260 − 220 Rs.= Rs. 40When difference in profit is Rs. 40, then difference in cost price would be Rs. (1000 − 600) = Rs. 400.When difference in profit is Rs. 5, then difference in cost price would be:Rs. =((400/40) × 5)= Rs. 50.Hence, the correct answer is 50.