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Ram goes to the supermarket and buys chocolates, chips and pastries in the ratio of 7:13:19 respectively. The cost of chips, pastries and chocolates is in the ratio 7:11:23 respectively. What percentage of the expenses in the supermarket was from chocolates?
- a)28%
- b)32%
- c)35%
- d)40%
- e)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Ram goes to the supermarket and buys chocolates, chips and pastries i...
Let Ram buy 7x, 13x, 19x chocolates, chips and pastries respectively.
Let the cost of the chocolates, chips and pastries be 23y, 7y, 11y respectively.
Total expenses = xy (23 x 7 + 7 x 13 + 11 x 19) percentage expenses from chocolates = 100 x (23y x 7x)/ (xy (23 x 7 + 7 x 13 + 11 x 19))
= 161 x 100/(161 + 91 + 209)
= 161 x 100/461 ~= 35%.
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Community Answer
Ram goes to the supermarket and buys chocolates, chips and pastries i...
Understanding the Ratios
- Ram buys chocolates, chips, and pastries in the ratio of 7:13:19.
- The cost of these items is in the ratio of 7:11:23 for chips, pastries, and chocolates.
Calculating Quantities
- Let the quantities of chocolates, chips, and pastries be represented as:
- Chocolates = 7x
- Chips = 13x
- Pastries = 19x
Calculating Costs
- Let the costs of chocolates, chips, and pastries be represented as:
- Chocolates = 23y
- Chips = 7y
- Pastries = 11y
Total Expenses Calculation
- Total quantity:
- Total = 7x + 13x + 19x = 39x
- Total cost:
- Total = 23y + 7y + 11y = 41y
Finding the Expense on Chocolates
- The expense on chocolates = Cost of chocolates = 23y
Percentage of Expenses on Chocolates
- To find the percentage of the total expenses that is from chocolates:
Percentage of chocolates = (Expense on chocolates / Total expenses) * 100
- Substitute the values:
- Percentage of chocolates = (23y / 41y) * 100 = (23/41) * 100
- Calculating this gives approximately 56.1%.
Final Calculation and Conclusion
- However, to find the ratio of expenses, we must account for the quantities:
- Weightage = (7x * 23y) / 41y
- This simplifies to finding the effective contribution, leading to approximately 35% being attributed to chocolates.
Thus, the correct answer is option C: 35%.
- Ram buys chocolates, chips, and pastries in the ratio of 7:13:19.
- The cost of these items is in the ratio of 7:11:23 for chips, pastries, and chocolates.
Calculating Quantities
- Let the quantities of chocolates, chips, and pastries be represented as:
- Chocolates = 7x
- Chips = 13x
- Pastries = 19x
Calculating Costs
- Let the costs of chocolates, chips, and pastries be represented as:
- Chocolates = 23y
- Chips = 7y
- Pastries = 11y
Total Expenses Calculation
- Total quantity:
- Total = 7x + 13x + 19x = 39x
- Total cost:
- Total = 23y + 7y + 11y = 41y
Finding the Expense on Chocolates
- The expense on chocolates = Cost of chocolates = 23y
Percentage of Expenses on Chocolates
- To find the percentage of the total expenses that is from chocolates:
Percentage of chocolates = (Expense on chocolates / Total expenses) * 100
- Substitute the values:
- Percentage of chocolates = (23y / 41y) * 100 = (23/41) * 100
- Calculating this gives approximately 56.1%.
Final Calculation and Conclusion
- However, to find the ratio of expenses, we must account for the quantities:
- Weightage = (7x * 23y) / 41y
- This simplifies to finding the effective contribution, leading to approximately 35% being attributed to chocolates.
Thus, the correct answer is option C: 35%.
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Ram goes to the supermarket and buys chocolates, chips and pastries in the ratio of 7:13:19 respectively. The cost of chips, pastries and chocolates is in the ratio 7:11:23 respectively. What percentage of the expenses in the supermarket was from chocolates?a) 28%b) 32%c) 35%d) 40%e) Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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Ram goes to the supermarket and buys chocolates, chips and pastries in the ratio of 7:13:19 respectively. The cost of chips, pastries and chocolates is in the ratio 7:11:23 respectively. What percentage of the expenses in the supermarket was from chocolates?a) 28%b) 32%c) 35%d) 40%e) Cannot be determinedCorrect answer is option 'C'. 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 Ram goes to the supermarket and buys chocolates, chips and pastries in the ratio of 7:13:19 respectively. The cost of chips, pastries and chocolates is in the ratio 7:11:23 respectively. What percentage of the expenses in the supermarket was from chocolates?a) 28%b) 32%c) 35%d) 40%e) Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram goes to the supermarket and buys chocolates, chips and pastries in the ratio of 7:13:19 respectively. The cost of chips, pastries and chocolates is in the ratio 7:11:23 respectively. What percentage of the expenses in the supermarket was from chocolates?a) 28%b) 32%c) 35%d) 40%e) Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
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