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A sales executive's commission is 5% on all sales up to Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. His sales was worth:
- a)Rs. 35,00
- b)Rs. 36,100
- c)Rs. 35,100
- d)Rs. 32,500
- e)Rs 31,300
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A sales executive's commission is 5% on all sales up to Rs. 10,000 an...
Let total sales be x
5% of 10,000 = 500
So, x - 500 - (x-10000) x 0.04 = 31100
0.96x = 31200
Solving gives x = 32,500.
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Community Answer
A sales executive's commission is 5% on all sales up to Rs. 10,000 an...
Understanding the Commission Structure
The sales executive earns a commission based on two tiers of sales:
- 5% on the first Rs. 10,000
- 4% on any sales exceeding Rs. 10,000
Calculating the Commission
Let the total sales be Rs. X. The commission can be calculated based on the following:
1. For sales up to Rs. 10,000:
- Commission = 5% of Rs. 10,000 = Rs. 500
2. For sales exceeding Rs. 10,000:
- Sales exceeding Rs. 10,000 = X - 10,000
- Commission on this portion = 4% of (X - 10,000) = 0.04(X - 10,000)
Thus, the total commission (C) can be expressed as:
C = Rs. 500 + 0.04(X - 10,000)
Finding the Total Sales
The executive remits Rs. 31,100 to the parent company after deducting his commission. Therefore, we have:
X - C = Rs. 31,100
Substituting C:
X - (500 + 0.04(X - 10,000)) = 31,100
Simplifying this equation:
X - 500 - 0.04X + 400 = 31,100
Combining like terms:
0.96X - 100 = 31,100
Solving for X:
0.96X = 31,200
X = 32,500
Conclusion
The total sales value is Rs. 32,500, which corresponds to option 'D'.
The sales executive earns a commission based on two tiers of sales:
- 5% on the first Rs. 10,000
- 4% on any sales exceeding Rs. 10,000
Calculating the Commission
Let the total sales be Rs. X. The commission can be calculated based on the following:
1. For sales up to Rs. 10,000:
- Commission = 5% of Rs. 10,000 = Rs. 500
2. For sales exceeding Rs. 10,000:
- Sales exceeding Rs. 10,000 = X - 10,000
- Commission on this portion = 4% of (X - 10,000) = 0.04(X - 10,000)
Thus, the total commission (C) can be expressed as:
C = Rs. 500 + 0.04(X - 10,000)
Finding the Total Sales
The executive remits Rs. 31,100 to the parent company after deducting his commission. Therefore, we have:
X - C = Rs. 31,100
Substituting C:
X - (500 + 0.04(X - 10,000)) = 31,100
Simplifying this equation:
X - 500 - 0.04X + 400 = 31,100
Combining like terms:
0.96X - 100 = 31,100
Solving for X:
0.96X = 31,200
X = 32,500
Conclusion
The total sales value is Rs. 32,500, which corresponds to option 'D'.
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A sales executive's commission is 5% on all sales up to Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. His sales was worth:a)Rs. 35,00b)Rs. 36,100c)Rs. 35,100d)Rs. 32,500e)Rs 31,300Correct answer is option 'D'. Can you explain this answer?
Question Description
A sales executive's commission is 5% on all sales up to Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. His sales was worth:a)Rs. 35,00b)Rs. 36,100c)Rs. 35,100d)Rs. 32,500e)Rs 31,300Correct answer is option 'D'. 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 A sales executive's commission is 5% on all sales up to Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. His sales was worth:a)Rs. 35,00b)Rs. 36,100c)Rs. 35,100d)Rs. 32,500e)Rs 31,300Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sales executive's commission is 5% on all sales up to Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. His sales was worth:a)Rs. 35,00b)Rs. 36,100c)Rs. 35,100d)Rs. 32,500e)Rs 31,300Correct answer is option 'D'. Can you explain this answer?.
A sales executive's commission is 5% on all sales up to Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. His sales was worth:a)Rs. 35,00b)Rs. 36,100c)Rs. 35,100d)Rs. 32,500e)Rs 31,300Correct answer is option 'D'. 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 A sales executive's commission is 5% on all sales up to Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. His sales was worth:a)Rs. 35,00b)Rs. 36,100c)Rs. 35,100d)Rs. 32,500e)Rs 31,300Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sales executive's commission is 5% on all sales up to Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. His sales was worth:a)Rs. 35,00b)Rs. 36,100c)Rs. 35,100d)Rs. 32,500e)Rs 31,300Correct answer is option 'D'. Can you explain this answer?.
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