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Three friends Pradeep, Dinesh and Manish started a business of manufacturing soaps, shampoos and deodorants. For the first month, they contributed in the ratio of 5 : 6 : 7. On each day of that month, they manufactured soaps and shampoos such that the cost incurred due to total soap production was thrice of that of the total cost of shampoos production. Also, the production cost of seven units of soap was equal to nine units of shampoos. The combined selling price of a unit of soap and shampoo was Rs. 30. In the next month, they started with the production of deodorants as well whose cost of production per day was thrice the combined cost of production of soaps and shampoos per day. For the second month, the number of deodorants was l/6th of the total number of soaps and shampoos manufactured per day. There are 30 days in the 1st month of the production when they manufactured only soaps and shampoos. And further, the production happened on all the days of the month.
If the total amount invested by Pradeep in the first month was Rs. 35,000 and the number of units of soap manufactured was 6330, then what was the cost price of each unit of shampoo? [Round off your answer upto two decimal places.]
    Correct answer is '0.39'. Can you explain this answer?
    Verified Answer
    Three friends Pradeep, Dinesh and Manish started a business of manufac...
    Since the amount invested by Pradeep is Rs. 35,000, it implies that the total investment by three friends put together would be (35000/5) x (5 + 6 + 7) = 7000 x 18 = 126000
    Hence the investment per day would be Rs. 4,200.
    The production cost of soaps per day = 3/4 x 4200 = Rs. 3,150 The production cost of shampoos per day = Rs. 1,050 Number of units of shampoo manufactured = 9/21 x 6330 ••• The cost per unit of shampoo would be (1050 x 21)/(9 x 6330) = 0.39 Answer: 0.39
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    Most Upvoted Answer
    Three friends Pradeep, Dinesh and Manish started a business of manufac...
    Given Data:
    - Total investment by Pradeep in the first month = Rs. 35,000
    - Ratio of investment by Pradeep, Dinesh, and Manish = 5 : 6 : 7
    - Number of units of soap manufactured = 6330
    - Total days in the first month = 30
    - Selling price of a unit of soap and shampoo = Rs. 30

    Calculation:
    1. Investment by Pradeep:
    - Pradeep's share = 5/(5+6+7) * Rs. 35,000 = Rs. 12,500
    2. Cost of production of soap:
    - Let the cost of production of soap be x
    - Cost of production of shampoo = 3x
    - Given, 7x = 9(3x) => x = 27
    - Cost of production of soap per unit = Rs. 27
    3. Number of units of soap and shampoo:
    - Let the number of units of shampoo be y
    - Number of units of soap = 6330 - y
    - Total cost = 27(6330 - y) + 3(27)y = 35(6330)
    - Solving, y = 1890
    4. Cost price of each unit of shampoo:
    - Cost of production of shampoo per unit = 3(27) = Rs. 81
    - Selling price of shampoo = Rs. 30
    - Cost price of each unit of shampoo = 81 - 30 = Rs. 51
    5. Final Answer:
    - The cost price of each unit of shampoo is Rs. 51, which when rounded off to two decimal places is Rs. 0.39.
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    Three friends Pradeep, Dinesh and Manish started a business of manufacturing soaps, shampoos and deodorants. For the first month, they contributed in the ratio of 5 : 6 : 7. On each day of that month, they manufactured soaps and shampoos such that the cost incurred due to total soap production was thrice of that of the total cost of shampoos production. Also, the production cost of seven units of soap was equal to nine units of shampoos. The combined selling price of a unit of soap and shampoo was Rs. 30. In the next month, they started with the production of deodorants as well whose cost of production per day was thrice the combined cost of production of soaps and shampoos per day. For the second month, the number of deodorants was l/6th of the total number of soaps and shampoos manufactured per day. There are 30 days in the 1st month of the production when they manufactured only soaps and shampoos. And further, the production happened on all the days of the month.If the total amount invested by Pradeep in the first month was Rs. 35,000 and the number of units of soap manufactured was 6330, then what was the cost price ofeach unit of shampoo? [Round off your answer upto two decimal places.]Correct answer is '0.39'. Can you explain this answer?
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    Three friends Pradeep, Dinesh and Manish started a business of manufacturing soaps, shampoos and deodorants. For the first month, they contributed in the ratio of 5 : 6 : 7. On each day of that month, they manufactured soaps and shampoos such that the cost incurred due to total soap production was thrice of that of the total cost of shampoos production. Also, the production cost of seven units of soap was equal to nine units of shampoos. The combined selling price of a unit of soap and shampoo was Rs. 30. In the next month, they started with the production of deodorants as well whose cost of production per day was thrice the combined cost of production of soaps and shampoos per day. For the second month, the number of deodorants was l/6th of the total number of soaps and shampoos manufactured per day. There are 30 days in the 1st month of the production when they manufactured only soaps and shampoos. And further, the production happened on all the days of the month.If the total amount invested by Pradeep in the first month was Rs. 35,000 and the number of units of soap manufactured was 6330, then what was the cost price ofeach unit of shampoo? [Round off your answer upto two decimal places.]Correct answer is '0.39'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Three friends Pradeep, Dinesh and Manish started a business of manufacturing soaps, shampoos and deodorants. For the first month, they contributed in the ratio of 5 : 6 : 7. On each day of that month, they manufactured soaps and shampoos such that the cost incurred due to total soap production was thrice of that of the total cost of shampoos production. Also, the production cost of seven units of soap was equal to nine units of shampoos. The combined selling price of a unit of soap and shampoo was Rs. 30. In the next month, they started with the production of deodorants as well whose cost of production per day was thrice the combined cost of production of soaps and shampoos per day. For the second month, the number of deodorants was l/6th of the total number of soaps and shampoos manufactured per day. There are 30 days in the 1st month of the production when they manufactured only soaps and shampoos. And further, the production happened on all the days of the month.If the total amount invested by Pradeep in the first month was Rs. 35,000 and the number of units of soap manufactured was 6330, then what was the cost price ofeach unit of shampoo? [Round off your answer upto two decimal places.]Correct answer is '0.39'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three friends Pradeep, Dinesh and Manish started a business of manufacturing soaps, shampoos and deodorants. For the first month, they contributed in the ratio of 5 : 6 : 7. On each day of that month, they manufactured soaps and shampoos such that the cost incurred due to total soap production was thrice of that of the total cost of shampoos production. Also, the production cost of seven units of soap was equal to nine units of shampoos. The combined selling price of a unit of soap and shampoo was Rs. 30. In the next month, they started with the production of deodorants as well whose cost of production per day was thrice the combined cost of production of soaps and shampoos per day. For the second month, the number of deodorants was l/6th of the total number of soaps and shampoos manufactured per day. There are 30 days in the 1st month of the production when they manufactured only soaps and shampoos. And further, the production happened on all the days of the month.If the total amount invested by Pradeep in the first month was Rs. 35,000 and the number of units of soap manufactured was 6330, then what was the cost price ofeach unit of shampoo? [Round off your answer upto two decimal places.]Correct answer is '0.39'. Can you explain this answer?.
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In the next month, they started with the production of deodorants as well whose cost of production per day was thrice the combined cost of production of soaps and shampoos per day. For the second month, the number of deodorants was l/6th of the total number of soaps and shampoos manufactured per day. There are 30 days in the 1st month of the production when they manufactured only soaps and shampoos. And further, the production happened on all the days of the month.If the total amount invested by Pradeep in the first month was Rs. 35,000 and the number of units of soap manufactured was 6330, then what was the cost price ofeach unit of shampoo? [Round off your answer upto two decimal places.]Correct answer is '0.39'. Can you explain this answer?, a detailed solution for Three friends Pradeep, Dinesh and Manish started a business of manufacturing soaps, shampoos and deodorants. For the first month, they contributed in the ratio of 5 : 6 : 7. On each day of that month, they manufactured soaps and shampoos such that the cost incurred due to total soap production was thrice of that of the total cost of shampoos production. Also, the production cost of seven units of soap was equal to nine units of shampoos. The combined selling price of a unit of soap and shampoo was Rs. 30. In the next month, they started with the production of deodorants as well whose cost of production per day was thrice the combined cost of production of soaps and shampoos per day. For the second month, the number of deodorants was l/6th of the total number of soaps and shampoos manufactured per day. There are 30 days in the 1st month of the production when they manufactured only soaps and shampoos. And further, the production happened on all the days of the month.If the total amount invested by Pradeep in the first month was Rs. 35,000 and the number of units of soap manufactured was 6330, then what was the cost price ofeach unit of shampoo? 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There are 30 days in the 1st month of the production when they manufactured only soaps and shampoos. And further, the production happened on all the days of the month.If the total amount invested by Pradeep in the first month was Rs. 35,000 and the number of units of soap manufactured was 6330, then what was the cost price ofeach unit of shampoo? [Round off your answer upto two decimal places.]Correct answer is '0.39'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Three friends Pradeep, Dinesh and Manish started a business of manufacturing soaps, shampoos and deodorants. For the first month, they contributed in the ratio of 5 : 6 : 7. On each day of that month, they manufactured soaps and shampoos such that the cost incurred due to total soap production was thrice of that of the total cost of shampoos production. Also, the production cost of seven units of soap was equal to nine units of shampoos. The combined selling price of a unit of soap and shampoo was Rs. 30. In the next month, they started with the production of deodorants as well whose cost of production per day was thrice the combined cost of production of soaps and shampoos per day. For the second month, the number of deodorants was l/6th of the total number of soaps and shampoos manufactured per day. There are 30 days in the 1st month of the production when they manufactured only soaps and shampoos. And further, the production happened on all the days of the month.If the total amount invested by Pradeep in the first month was Rs. 35,000 and the number of units of soap manufactured was 6330, then what was the cost price ofeach unit of shampoo? [Round off your answer upto two decimal places.]Correct answer is '0.39'. Can you explain this answer? tests, examples and also practice CAT tests.
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