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Mr. Shyam receives a laundry contract for 5 trains with 3 air conditioned boogies having 64 berths each. Each berth is allocated 1 blanket, 2 sheets, 1 pillow cover and 1 napkin. It costs him Rs. 20 to wash and iron one set of above mentioned things for a berth. He normally charges a profit of 20% over his cost but in case of bulk orders he gives a discount of 5% (This order is a bulk order). How many times should he do the laundry for all 5 trains to earn a profit of Rs. 34,944?
Correct answer is '13'. Can you explain this answer?
Verified Answer
Mr. Shyam receives a laundry contract for 5 trains with 3 air conditio...
Cost per berth = Rs. 20
Normal charges per berth (with 20% profit) = 20 * 1.2 = Rs. 24
Bulk order charges per berth (with 5% discount) = 24 x 0.95 = Rs. 22.8
Profit per berth = Rs. 2.8
Total number of berths = 3 * 5 * 64 = 960 Total profit for all 960 berths = 960 * 2.8 = Rs. 2,688
Total profit required = Rs. 34,944
Number of times the laundry should be done to earn the required profit = 34944/2688 = 13
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Most Upvoted Answer
Mr. Shyam receives a laundry contract for 5 trains with 3 air conditio...
Given:
- 5 trains with 3 air conditioned boogies each
- Each boogie has 64 berths
- Each berth requires 1 blanket, 2 sheets, 1 pillow cover, and 1 napkin
- Washing and ironing one set of these items for a berth costs Rs. 20
- Normal profit margin is 20%
- Bulk order discount is 5%
- The target profit is Rs. 34,944

To find:
- How many times should Mr. Shyam do the laundry for all 5 trains to earn a profit of Rs. 34,944?

Solution:
Step 1: Calculate the total number of berths in all the trains and boogies.
- Total berths = Number of trains × Number of boogies per train × Number of berths per boogie
- Total berths = 5 × 3 × 64 = 960

Step 2: Calculate the total number of sets of items required for all the berths.
- Total sets = Total berths × (1 blanket + 2 sheets + 1 pillow cover + 1 napkin)
- Total sets = 960 × (1 + 2 + 1 + 1) = 960 × 5 = 4800 sets

Step 3: Calculate the cost of washing and ironing all the sets.
- Cost of washing and ironing = Total sets × Cost per set
- Cost of washing and ironing = 4800 × Rs. 20 = Rs. 96,000

Step 4: Calculate the selling price after applying the bulk order discount.
- Selling price = Cost of washing and ironing - (Discount % × Cost of washing and ironing)
- Selling price = Rs. 96,000 - (5/100 × Rs. 96,000) = Rs. 96,000 - Rs. 4,800 = Rs. 91,200

Step 5: Calculate the cost price by adding the profit margin.
- Cost price = Selling price / (1 + Profit %)
- Cost price = Rs. 91,200 / (1 + 20/100) = Rs. 91,200 / 1.2 = Rs. 76,000

Step 6: Calculate the number of times Mr. Shyam needs to do the laundry to earn the target profit.
- Target profit = Selling price - Cost price
- Rs. 34,944 = Rs. 91,200 - Cost price
- Cost price = Rs. 91,200 - Rs. 34,944 = Rs. 56,256

- Number of times laundry needs to be done = Cost price / Cost of washing and ironing
- Number of times laundry needs to be done = Rs. 56,256 / Rs. 96,000 = 0.5865

- As Mr. Shyam cannot do laundry 0.5865 times, he needs to do it 1 time to earn a profit of Rs. 34,944.

Therefore, Mr. Shyam should do the laundry for all 5 trains once to earn a profit of Rs. 34,944
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Mr. Shyam receives a laundry contract for 5 trains with 3 air conditioned boogies having 64 berths each. Each berth is allocated 1 blanket, 2 sheets, 1 pillow cover and 1 napkin. It costs him Rs. 20 to wash and iron one set of above mentioned things for a berth. He normally charges a profit of 20% over his cost but in case of bulk orders he gives a discount of 5% (This order is a bulk order). How many times should he do the laundry for all 5 trains to earn a profit of Rs. 34,944?Correct answer is '13'. Can you explain this answer?
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Mr. Shyam receives a laundry contract for 5 trains with 3 air conditioned boogies having 64 berths each. Each berth is allocated 1 blanket, 2 sheets, 1 pillow cover and 1 napkin. It costs him Rs. 20 to wash and iron one set of above mentioned things for a berth. He normally charges a profit of 20% over his cost but in case of bulk orders he gives a discount of 5% (This order is a bulk order). How many times should he do the laundry for all 5 trains to earn a profit of Rs. 34,944?Correct answer is '13'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Mr. Shyam receives a laundry contract for 5 trains with 3 air conditioned boogies having 64 berths each. Each berth is allocated 1 blanket, 2 sheets, 1 pillow cover and 1 napkin. It costs him Rs. 20 to wash and iron one set of above mentioned things for a berth. He normally charges a profit of 20% over his cost but in case of bulk orders he gives a discount of 5% (This order is a bulk order). How many times should he do the laundry for all 5 trains to earn a profit of Rs. 34,944?Correct answer is '13'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. Shyam receives a laundry contract for 5 trains with 3 air conditioned boogies having 64 berths each. Each berth is allocated 1 blanket, 2 sheets, 1 pillow cover and 1 napkin. It costs him Rs. 20 to wash and iron one set of above mentioned things for a berth. He normally charges a profit of 20% over his cost but in case of bulk orders he gives a discount of 5% (This order is a bulk order). How many times should he do the laundry for all 5 trains to earn a profit of Rs. 34,944?Correct answer is '13'. Can you explain this answer?.
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