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A salesman's commission is 5% on all sales upto Rs. 10,000 and 4% on all sales exceeding this amount. He remits Rs. 31,100 to the parent company after deducting his commission. His sales is worth
- a)Rs. 35,100
- b)Rs. 32,500
- c)Rs. 35,000
- d)Rs. 36,100
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A salesmans commission is 5% on all sales upto Rs. 10,000 and 4% on al...
Let the total sales amount be Rs. x.
Then, the commission which the salesman got is given as
5% of 10,000 + 4% of (x - 10,000) = x - 31,100
500 + 0.04x - 400 = x - 31,100
0.96x = 31,200
x = Rs. 32,500
Then, the commission which the salesman got is given as
5% of 10,000 + 4% of (x - 10,000) = x - 31,100
500 + 0.04x - 400 = x - 31,100
0.96x = 31,200
x = Rs. 32,500
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Community Answer
A salesmans commission is 5% on all sales upto Rs. 10,000 and 4% on al...
Salesman's Commission Calculation
To calculate the salesman's commission, we need to consider two scenarios:
1. Sales up to Rs. 10,000:
For sales up to Rs. 10,000, the commission rate is 5%.
2. Sales exceeding Rs. 10,000:
For sales exceeding Rs. 10,000, the commission rate is 4%.
Given Information:
The salesman remits Rs. 31,100 to the parent company after deducting his commission.
Let's assume the total sales made by the salesman is 'x' rupees.
Calculating the Commission:
1. Sales up to Rs. 10,000:
For sales up to Rs. 10,000, the commission rate is 5%.
So, the commission for sales up to Rs. 10,000 is (5/100) * 10,000 = 500 rupees.
2. Sales exceeding Rs. 10,000:
For sales exceeding Rs. 10,000, the commission rate is 4%.
So, the commission for sales exceeding Rs. 10,000 is (4/100) * (x - 10,000) = 0.04(x - 10,000) rupees.
Total Commission:
The total commission earned by the salesman can be calculated by summing up the commissions from both scenarios:
Total Commission = Commission for sales up to Rs. 10,000 + Commission for sales exceeding Rs. 10,000
Given that the salesman remits Rs. 31,100 to the parent company after deducting his commission, we can set up the following equation:
Total Sales - Total Commission = 31,100
Substituting the commission values, we get:
x - 500 - 0.04(x - 10,000) = 31,100
Simplifying the equation:
x - 500 - 0.04x + 400 = 31,100
0.96x - 100 = 31,100
0.96x = 31,200
x = 31,200 / 0.96
x = 32,500
Therefore, the salesman's sales are worth Rs. 32,500 (option B).
To calculate the salesman's commission, we need to consider two scenarios:
1. Sales up to Rs. 10,000:
For sales up to Rs. 10,000, the commission rate is 5%.
2. Sales exceeding Rs. 10,000:
For sales exceeding Rs. 10,000, the commission rate is 4%.
Given Information:
The salesman remits Rs. 31,100 to the parent company after deducting his commission.
Let's assume the total sales made by the salesman is 'x' rupees.
Calculating the Commission:
1. Sales up to Rs. 10,000:
For sales up to Rs. 10,000, the commission rate is 5%.
So, the commission for sales up to Rs. 10,000 is (5/100) * 10,000 = 500 rupees.
2. Sales exceeding Rs. 10,000:
For sales exceeding Rs. 10,000, the commission rate is 4%.
So, the commission for sales exceeding Rs. 10,000 is (4/100) * (x - 10,000) = 0.04(x - 10,000) rupees.
Total Commission:
The total commission earned by the salesman can be calculated by summing up the commissions from both scenarios:
Total Commission = Commission for sales up to Rs. 10,000 + Commission for sales exceeding Rs. 10,000
Given that the salesman remits Rs. 31,100 to the parent company after deducting his commission, we can set up the following equation:
Total Sales - Total Commission = 31,100
Substituting the commission values, we get:
x - 500 - 0.04(x - 10,000) = 31,100
Simplifying the equation:
x - 500 - 0.04x + 400 = 31,100
0.96x - 100 = 31,100
0.96x = 31,200
x = 31,200 / 0.96
x = 32,500
Therefore, the salesman's sales are worth Rs. 32,500 (option B).
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A salesmans commission is 5% on all sales upto Rs. 10,000 and 4% on all sales exceeding this amount. He remits Rs. 31,100 to the parent company after deducting his commission. His sales is wortha)Rs. 35,100b)Rs. 32,500c)Rs. 35,000d)Rs. 36,100Correct answer is option 'B'. Can you explain this answer?
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A salesmans commission is 5% on all sales upto Rs. 10,000 and 4% on all sales exceeding this amount. He remits Rs. 31,100 to the parent company after deducting his commission. His sales is wortha)Rs. 35,100b)Rs. 32,500c)Rs. 35,000d)Rs. 36,100Correct answer is option 'B'. 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 salesmans commission is 5% on all sales upto Rs. 10,000 and 4% on all sales exceeding this amount. He remits Rs. 31,100 to the parent company after deducting his commission. His sales is wortha)Rs. 35,100b)Rs. 32,500c)Rs. 35,000d)Rs. 36,100Correct answer is option 'B'. 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 salesmans commission is 5% on all sales upto Rs. 10,000 and 4% on all sales exceeding this amount. He remits Rs. 31,100 to the parent company after deducting his commission. His sales is wortha)Rs. 35,100b)Rs. 32,500c)Rs. 35,000d)Rs. 36,100Correct answer is option 'B'. Can you explain this answer?.
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