GuideFoot - Learn Together, Grow Smarter. Logo

In Mathematics / High School | 2025-07-05

Karuna, an employee at a shop factory, gets Rs. 32,000 salary and a certain commission as per the monthly sales. If sales of a month are Rs. 6,60,000 and her total income of the month, including commission, is Rs. 45,200:

a) Find the amount of commission received by her.
b) Find the rate of commission.
c) What should be the total sales if her income of a month, including commission, is Rs. 49,000?

Asked by almedasharma

Answer (2)

Karuna received a commission of Rs. 13,200 and her commission rate is 2%. To have a total income of Rs. 49,000, her total sales should be Rs. 850,000.
;

Answered by Yashwantsoni332 | 2025-07-05

Here's how to solve the problems related to Karuna's salary and commission:
a) Amount of commission received:
Step 1: Subtract Karuna's salary from her total income to find the commission amount.
Commission = Total income - Salary
Commission = Rs. 45,200 - Rs. 32,000 = Rs. 13,200
b) Rate of commission:
Step 1: Divide the commission amount by the total sales.
Rate of commission = Commission / Sales
Rate of commission = Rs. 13,200 / Rs. 6,60,000 = 0.02
Step 2: Convert the decimal to a percentage by multiplying by 100.
Rate of commission = 0.02 * 100 = 2%
c) Total sales for a desired income:
Step 1: Calculate the commission needed for a Rs. 49,000 income.
Commission needed = Desired income - Salary
Commission needed = Rs. 49,000 - Rs. 32,000 = Rs. 17,000
Step 2: Divide the commission needed by the commission rate to find the required sales.
Total sales = Commission needed / Rate of commission
Total sales = Rs. 17,000 / 0.02 = Rs. 850,000
Summary:
Karuna received a commission of Rs. 13,200.
The rate of commission is 2%.
To have an income of Rs. 49,000, the total sales should be Rs. 850,000. ;

Answered by Yashwantsoni332 | 2025-07-05