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A salesman's commission is 6% on all sales upto Rs. 15000 and 4% on all sales exceeding this amount. He remits Rs. 30000 to his parent company after deducting his commission. Find the total sales.
- a)Rs. 3156
- b)5 2. Rs. 31500.5
- c)Rs.32570.5
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A salesman's commission is 6% on all sales upto Rs. 15000 and 4% o...
Let the total sales = Rs x
Total commission = 
= 900 0.04 x 600 300 0.04 x.
= 900 0.04 x 600 300 0.04 x.As he submitted Rs 30000 after deducting his commission, so we have x – (300 + 0.04x) = 30000
⇒ 0.96x – 300 = 30000 ⇒ 0.96x = 30300
⇒ 0.96x – 300 = 30000 ⇒ 0.96x = 30300
Most Upvoted Answer
A salesman's commission is 6% on all sales upto Rs. 15000 and 4% o...
To find the total sales, we need to work backwards from the amount remitted to the parent company after deducting the commission.
Let's assume the total sales as 'x' rupees.
Sales up to Rs. 15000:
Commission on sales up to Rs. 15000 is 6%, which means the commission amount is 6/100 * 15000 = Rs. 900.
Sales exceeding Rs. 15000:
The remaining sales (x - 15000) will be subject to a commission of 4%. So, the commission amount on sales exceeding Rs. 15000 is 4/100 * (x - 15000).
Total commission:
The salesman remits Rs. 30000 to the parent company after deducting his commission. So, the total commission he earned is 30000 - 900 - (4/100 * (x - 15000)).
Equation:
We can set up the equation as follows:
30000 - 900 - (4/100 * (x - 15000)) = 0
Simplifying the equation:
30000 - 900 - (4/100 * x - 600) = 0
30000 - 900 - (4/100 * x) + 2400 = 0
-2600 - (4/100 * x) = 0
-2600 = 4x/100
-260000 = 4x
x = -260000/4
x = -65000
Interpretation:
Since sales cannot be negative, the negative value of x is not meaningful in this context. Therefore, we discard the negative value of x.
Conclusion:
The total sales cannot be determined based on the given information. Hence, the correct answer is 'None of the above' (option D).
Let's assume the total sales as 'x' rupees.
Sales up to Rs. 15000:
Commission on sales up to Rs. 15000 is 6%, which means the commission amount is 6/100 * 15000 = Rs. 900.
Sales exceeding Rs. 15000:
The remaining sales (x - 15000) will be subject to a commission of 4%. So, the commission amount on sales exceeding Rs. 15000 is 4/100 * (x - 15000).
Total commission:
The salesman remits Rs. 30000 to the parent company after deducting his commission. So, the total commission he earned is 30000 - 900 - (4/100 * (x - 15000)).
Equation:
We can set up the equation as follows:
30000 - 900 - (4/100 * (x - 15000)) = 0
Simplifying the equation:
30000 - 900 - (4/100 * x - 600) = 0
30000 - 900 - (4/100 * x) + 2400 = 0
-2600 - (4/100 * x) = 0
-2600 = 4x/100
-260000 = 4x
x = -260000/4
x = -65000
Interpretation:
Since sales cannot be negative, the negative value of x is not meaningful in this context. Therefore, we discard the negative value of x.
Conclusion:
The total sales cannot be determined based on the given information. Hence, the correct answer is 'None of the above' (option D).
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A salesman's commission is 6% on all sales upto Rs. 15000 and 4% on all sales exceeding this amount. He remits Rs. 30000 to his parent company after deducting his commission. Find the total sales.a)Rs. 3156b)5 2. Rs. 31500.5c)Rs.32570.5d)None of the above Correct answer is option 'A'. Can you explain this answer?
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A salesman's commission is 6% on all sales upto Rs. 15000 and 4% on all sales exceeding this amount. He remits Rs. 30000 to his parent company after deducting his commission. Find the total sales.a)Rs. 3156b)5 2. Rs. 31500.5c)Rs.32570.5d)None of the above Correct answer is option 'A'. 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 salesman's commission is 6% on all sales upto Rs. 15000 and 4% on all sales exceeding this amount. He remits Rs. 30000 to his parent company after deducting his commission. Find the total sales.a)Rs. 3156b)5 2. Rs. 31500.5c)Rs.32570.5d)None of the above Correct answer is option 'A'. 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 salesman's commission is 6% on all sales upto Rs. 15000 and 4% on all sales exceeding this amount. He remits Rs. 30000 to his parent company after deducting his commission. Find the total sales.a)Rs. 3156b)5 2. Rs. 31500.5c)Rs.32570.5d)None of the above Correct answer is option 'A'. Can you explain this answer?.
A salesman's commission is 6% on all sales upto Rs. 15000 and 4% on all sales exceeding this amount. He remits Rs. 30000 to his parent company after deducting his commission. Find the total sales.a)Rs. 3156b)5 2. Rs. 31500.5c)Rs.32570.5d)None of the above Correct answer is option 'A'. 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 salesman's commission is 6% on all sales upto Rs. 15000 and 4% on all sales exceeding this amount. He remits Rs. 30000 to his parent company after deducting his commission. Find the total sales.a)Rs. 3156b)5 2. Rs. 31500.5c)Rs.32570.5d)None of the above Correct answer is option 'A'. 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 salesman's commission is 6% on all sales upto Rs. 15000 and 4% on all sales exceeding this amount. He remits Rs. 30000 to his parent company after deducting his commission. Find the total sales.a)Rs. 3156b)5 2. Rs. 31500.5c)Rs.32570.5d)None of the above Correct answer is option 'A'. Can you explain this answer?.
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