Math Problem Statement

An agent offers a commission of 5% on the sale value if the sale to a single customer is up to Rs. 1000. Further, a commission of 10% on the sale value is offered if the sale to a single customer exceeds Rs. 1000. A salesman sold goods worth Rs. 1500 to each of five customers and goods worth Rs. 800 to each of four others. How much commission will he get on the whole?

Solution

The question in the image states:

An agent offers a commission of 5% on the sale value if the sale to a single customer is up to Rs. 1000. Further, a commission of 10% on the sale value is offered if the sale to a single customer exceeds Rs. 1000. A salesman sold goods worth Rs. 1500 to each of five customers and goods worth Rs. 800 to each of four others. How much commission will he get on the whole?

Solution:

  1. For customers who bought goods worth Rs. 1500:

    • The commission rate is 10% because the sale exceeds Rs. 1000.
    • Commission for one customer = 10% of Rs. 1500 = 10100×1500=150\frac{10}{100} \times 1500 = 150 Rs.
    • Since the salesman sold to 5 customers, the total commission for these 5 customers is 150×5=750150 \times 5 = 750 Rs.
  2. For customers who bought goods worth Rs. 800:

    • The commission rate is 5% because the sale is less than or equal to Rs. 1000.
    • Commission for one customer = 5% of Rs. 800 = 5100×800=40\frac{5}{100} \times 800 = 40 Rs.
    • Since the salesman sold to 4 customers, the total commission for these 4 customers is 40×4=16040 \times 4 = 160 Rs.
  3. Total Commission:

    • Total commission from the 5 customers = Rs. 750
    • Total commission from the 4 customers = Rs. 160
    • Therefore, total commission = 750+160=910750 + 160 = 910 Rs.

Final Answer:

The total commission the salesman will get on the whole is Rs. 910.


Would you like further details on this calculation or any part of the question? Here are five related questions to explore further:

  1. How would the commission change if the sale to one of the customers was Rs. 2000?
  2. What is the total value of goods sold to all the customers?
  3. If the commission rate for sales exceeding Rs. 2000 increased to 12%, how would this impact the commission?
  4. How would the calculation differ if the number of customers for Rs. 800 sales changed?
  5. What would the total commission be if all customers bought goods worth Rs. 1200?

Tip: Breaking down commission calculations by customer groups helps ensure accuracy when dealing with varying commission rates.

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Math Problem Analysis

Mathematical Concepts

Percentages
Commission Calculation
Basic Arithmetic

Formulas

Commission = (Percentage rate) * (Sale Value)
Total Commission = Sum of Commissions

Theorems

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Suitable Grade Level

Grades 5-7