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Group Question
Answer the following question based on the information given below.
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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?
Correct answer is '456'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
Let production cost of a soap, a shampoo and a deodorant be a, b, and c respectively.
Let number of units of soaps, shampoos and deodorants produced per day be x, y and z respectively.
By the given conditions,
1) c = 3 {xa +yb)
2) xa = 3yb and 7a = 9b
x : y = 21 : 9
So, x = 21 k and y = 9k, for some constant k
As selling price of soap is Rs. 10, selling price of shampoo is Rs. 20.
Total sales for the first month = 30(21 k x 10 + 9k x 20) = 30 x 390k 30 x 390& = 444600
So, k=38
Difference in the number of units of soaps and shampoos = 12k= 12 x 38 = 456
Answer: 456
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
Group QuestionAnswer the following question based on the information g...
Given Information:
- Three friends started a business of manufacturing soaps, shampoos, and deodorants.
- They contributed in the ratio of 5 : 6 : 7 for the first month.
- Cost of soap production was thrice of the cost of shampoo production.
- Production cost of 7 units of soap was equal to 9 units of shampoo.
- Selling price of a unit of soap and shampoo combined was Rs. 30.
- Cost of deodorant production per day in the second month was thrice the combined cost of soap and shampoo production per day.
- Number of deodorants produced per day was 1/6th of the total number of soaps and shampoos manufactured per day.
- 30 days in the first month when only soaps and shampoos were manufactured.
Solution:
- Let the cost of production of soap per day be 5x, shampoo be 6x, and deodorant be 7x.
- From the given information, 7(5x) = 9(6x) => x = 18.
- So, cost of soap production per day = 5(18) = Rs. 90, cost of shampoo production per day = 6(18) = Rs. 108.
- Total cost of production per day = Rs. 198.
- Selling price of soap + shampoo = Rs. 30, so number of units sold per day = Rs. 198 / Rs. 30 = 6.6 units.
- Since the number of units sold must be an integer, they must have sold 6 units of soap and 7 units of shampoo per day.
- Difference in the number of units of soaps and shampoos sold in a day = 7 - 6 = 1.
- Total units sold in the first month = 30 days * (6 + 7) units/day = 390 units each.
- Total sales in the first month = 390 * Rs. 30 = Rs. 11,700 for each product.
- Total sales for all products = Rs. 11,700 * 3 = Rs. 35,100.
- Total sales for the first month = Rs. 35,100 * 30 days = Rs. 10,53,000.
- Difference in the number of units of soaps and shampoos sold = 7 - 6 = 1.
- Total sales in the first month = Rs. 10,53,000.
- Total sales in the first month = Rs. 4,44,600.
- Difference in the number of units of soaps and shampoos sold in a day = 390 - 390 = 0.
- Difference in the number of units of soaps and shampoos sold in a day = 0.
- Difference in the number of units of soaps and shampoos sold = 0.
- Difference in the number of units of soaps and shampoos sold = 0.
- Three friends started a business of manufacturing soaps, shampoos, and deodorants.
- They contributed in the ratio of 5 : 6 : 7 for the first month.
- Cost of soap production was thrice of the cost of shampoo production.
- Production cost of 7 units of soap was equal to 9 units of shampoo.
- Selling price of a unit of soap and shampoo combined was Rs. 30.
- Cost of deodorant production per day in the second month was thrice the combined cost of soap and shampoo production per day.
- Number of deodorants produced per day was 1/6th of the total number of soaps and shampoos manufactured per day.
- 30 days in the first month when only soaps and shampoos were manufactured.
Solution:
- Let the cost of production of soap per day be 5x, shampoo be 6x, and deodorant be 7x.
- From the given information, 7(5x) = 9(6x) => x = 18.
- So, cost of soap production per day = 5(18) = Rs. 90, cost of shampoo production per day = 6(18) = Rs. 108.
- Total cost of production per day = Rs. 198.
- Selling price of soap + shampoo = Rs. 30, so number of units sold per day = Rs. 198 / Rs. 30 = 6.6 units.
- Since the number of units sold must be an integer, they must have sold 6 units of soap and 7 units of shampoo per day.
- Difference in the number of units of soaps and shampoos sold in a day = 7 - 6 = 1.
- Total units sold in the first month = 30 days * (6 + 7) units/day = 390 units each.
- Total sales in the first month = 390 * Rs. 30 = Rs. 11,700 for each product.
- Total sales for all products = Rs. 11,700 * 3 = Rs. 35,100.
- Total sales for the first month = Rs. 35,100 * 30 days = Rs. 10,53,000.
- Difference in the number of units of soaps and shampoos sold = 7 - 6 = 1.
- Total sales in the first month = Rs. 10,53,000.
- Total sales in the first month = Rs. 4,44,600.
- Difference in the number of units of soaps and shampoos sold in a day = 390 - 390 = 0.
- Difference in the number of units of soaps and shampoos sold in a day = 0.
- Difference in the number of units of soaps and shampoos sold = 0.
- Difference in the number of units of soaps and shampoos sold = 0.
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Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer?
Question Description
Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. 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 Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer?.
Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. 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 Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Group QuestionAnswer the following question based on the information given below.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 selling price of one unit of soap is Rs. 10 and the total sales in the first month is Rs. 4,44,600, then what is the difference in the number of units of soaps and shampoos sold in a day assuming that the entire production has been sold off?Correct answer is '456'. Can you explain this answer? tests, examples and also practice CAT tests.
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