A salesman sells articles at Rs.80 each.He sells 1500 articles in the first week.In the second week,he sells 18% more than in the first week and in the third week, he sells 12% more than in the second week. Calculate the amount received by the salesman if he gets 12% of the price of each article on the first 1000 sold and 15% of the price of each article he sells in excess of 1000.
(.12(1000+1000+1000)+.15(1500-1000 + 1500*1.18-1000 + 1500*1.18*1.12-1000))*80 = 55,828.80
Assuming the counter is reset each week.
To calculate the amount received by the salesman, we need to consider the sales in each week and the commission he receives. Let's break it down step by step:
Step 1: Calculate the sales in each week.
In the first week, the salesman sells 1500 articles at Rs.80 each, so the total sales in the first week can be calculated as:
Total sales in the first week = Number of articles sold × Price per article
Total sales in the first week = 1500 × Rs.80
In the second week, he sells 18% more than in the first week. To calculate the sales in the second week, we can add 18% more to the sales in the first week:
Sales in the second week = Total sales in the first week + (18% of Total sales in the first week)
Sales in the second week = Total sales in the first week + (0.18 × Total sales in the first week)
Sales in the second week = Total sales in the first week + (0.18 × 1500 × Rs.80)
In the third week, he sells 12% more than in the second week. Similarly, we can calculate the sales in the third week:
Sales in the third week = Sales in the second week + (12% of Sales in the second week)
Sales in the third week = Sales in the second week + (0.12 × Sales in the second week)
Step 2: Calculate the commission earned by the salesman.
According to the given information, the salesman gets a commission of 12% on the price of each article for the first 1000 articles sold and 15% on the price of each article sold in excess of 1000.
For the first 1000 articles sold, the commission can be calculated as:
Commission for the first 1000 articles = Number of articles sold × Commission rate
Commission for the first 1000 articles = 1000 × (12% of Rs.80)
For the articles sold in excess of 1000, the commission can be calculated as:
Commission for articles in excess of 1000 = (Number of articles sold - 1000) × Commission rate
Commission for articles in excess of 1000 = (Sales in the third week - 1000) × (15% of Rs.80)
Step 3: Calculate the total amount received by the salesman.
Total amount received by the salesman = Total sales in the first week + Sales in the second week + Sales in the third week + Commission for the first 1000 articles + Commission for articles in excess of 1000