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ravish bought 100 articles for rs4000.He sold 20 of them at a gain of 5 percent. At what gain percent must he sell the remaining articles so as to gain 20 percent on the whole?
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ravish bought 100 articles for rs4000.He sold 20 of them at a gain of ...
According to the statement,
CP of 100 articles= 4000
P%= 20%
SP= 120% of 4000= 120*4000/100= 4800
CP of 20 articles= 800
P%=5%
SP= 105% of 800= 840
SP of 80 articles= 4800-840= 3960
CP of 80 pens= 3200
P= 3960-3200= 760
P%= P/CP*100= 760*100/3200= 23.75%
Gain percent= 23.75%
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ravish bought 100 articles for rs4000.He sold 20 of them at a gain of ...
Introduction
Ravish’s problem involves a series of transactions where he aims to achieve an overall profit margin. Let’s break down the steps to find out the gain percentage required for the remaining articles.
Initial Investment
- Ravish bought 100 articles for Rs. 4000.
- The cost price (CP) per article = Total CP / Number of articles = 4000 / 100 = Rs. 40.
Gain from First Sale
- Ravish sold 20 articles at a gain of 5%.
- Selling Price (SP) of 1 article = CP + Gain = 40 + (5% of 40) = 40 + 2 = Rs. 42.
- Total SP for 20 articles = 20 x 42 = Rs. 840.
Calculating Total Required Selling Price for 20% Gain
- To achieve a 20% overall gain on the total investment:
- Total gain = 20% of 4000 = Rs. 800.
- Required total SP = Total CP + Total Gain = 4000 + 800 = Rs. 4800.
Remaining Articles
- Articles remaining = 100 - 20 = 80 articles.
- SP of remaining articles needed = Required total SP - SP from first sale = 4800 - 840 = Rs. 3960.
Gain Percentage for Remaining Articles
- CP of remaining articles = 80 x 40 = Rs. 3200.
- Gain needed on remaining articles = SP - CP = 3960 - 3200 = Rs. 760.
- Gain Percentage = (Gain / CP) x 100 = (760 / 3200) x 100 = 23.75%.
Conclusion
Ravish must sell the remaining articles at a gain of **23.75%** to achieve an overall gain of **20%** on his total investment.
Ravish’s problem involves a series of transactions where he aims to achieve an overall profit margin. Let’s break down the steps to find out the gain percentage required for the remaining articles.
Initial Investment
- Ravish bought 100 articles for Rs. 4000.
- The cost price (CP) per article = Total CP / Number of articles = 4000 / 100 = Rs. 40.
Gain from First Sale
- Ravish sold 20 articles at a gain of 5%.
- Selling Price (SP) of 1 article = CP + Gain = 40 + (5% of 40) = 40 + 2 = Rs. 42.
- Total SP for 20 articles = 20 x 42 = Rs. 840.
Calculating Total Required Selling Price for 20% Gain
- To achieve a 20% overall gain on the total investment:
- Total gain = 20% of 4000 = Rs. 800.
- Required total SP = Total CP + Total Gain = 4000 + 800 = Rs. 4800.
Remaining Articles
- Articles remaining = 100 - 20 = 80 articles.
- SP of remaining articles needed = Required total SP - SP from first sale = 4800 - 840 = Rs. 3960.
Gain Percentage for Remaining Articles
- CP of remaining articles = 80 x 40 = Rs. 3200.
- Gain needed on remaining articles = SP - CP = 3960 - 3200 = Rs. 760.
- Gain Percentage = (Gain / CP) x 100 = (760 / 3200) x 100 = 23.75%.
Conclusion
Ravish must sell the remaining articles at a gain of **23.75%** to achieve an overall gain of **20%** on his total investment.
Community Answer
ravish bought 100 articles for rs4000.He sold 20 of them at a gain of ...
Ravish bought 100 articles for rs 4000 he sold 20 of them at a gain of 5%at what gain per cent must he sell the remaining articles 50 as to gain 20% on whole
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ravish bought 100 articles for rs4000.He sold 20 of them at a gain of 5 percent. At what gain percent must he sell the remaining articles so as to gain 20 percent on the whole? Related: Chapter 8 - Comparing Quantities, Mathematics, Class 7 (VII)
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ravish bought 100 articles for rs4000.He sold 20 of them at a gain of 5 percent. At what gain percent must he sell the remaining articles so as to gain 20 percent on the whole? Related: Chapter 8 - Comparing Quantities, Mathematics, Class 7 (VII) for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about ravish bought 100 articles for rs4000.He sold 20 of them at a gain of 5 percent. At what gain percent must he sell the remaining articles so as to gain 20 percent on the whole? Related: Chapter 8 - Comparing Quantities, Mathematics, Class 7 (VII) covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ravish bought 100 articles for rs4000.He sold 20 of them at a gain of 5 percent. At what gain percent must he sell the remaining articles so as to gain 20 percent on the whole? Related: Chapter 8 - Comparing Quantities, Mathematics, Class 7 (VII).
ravish bought 100 articles for rs4000.He sold 20 of them at a gain of 5 percent. At what gain percent must he sell the remaining articles so as to gain 20 percent on the whole? Related: Chapter 8 - Comparing Quantities, Mathematics, Class 7 (VII) for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about ravish bought 100 articles for rs4000.He sold 20 of them at a gain of 5 percent. At what gain percent must he sell the remaining articles so as to gain 20 percent on the whole? Related: Chapter 8 - Comparing Quantities, Mathematics, Class 7 (VII) covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ravish bought 100 articles for rs4000.He sold 20 of them at a gain of 5 percent. At what gain percent must he sell the remaining articles so as to gain 20 percent on the whole? Related: Chapter 8 - Comparing Quantities, Mathematics, Class 7 (VII).
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