Question

At an electronics store Sara earns a 5% commission on her sales. The table here shows her sales for four weeks. What was Sara’s total commission for these four weeks?

Answer 1

Hint: The commission of Sara on her sales is 5%. The sales for the first week is equal to Rs. 1920. The commission of Sara for the first week is Rs. (5% of 1920). The sales for the second week is equal to Rs. 1680. The commission of Sara for the second week is Rs. (5% of 1680). The sales for the third week is equal to Rs. 3360. The commission of Sara for the third week is Rs. (5% of 3360). The sales for the fourth week is equal to Rs. 2640. The commission of Sara for the first week is Rs. (5% of 2640). Now, get the total amount of commission by the summation of Sara’s commission for the first week, second week, third week, and the fourth week.

Complete step-by-step answer:
According to the question, it is given that at an electronics store Sara earns a 5% commission on her sales.
The commission oh the sales = 5% ………………………………(1)
The below table here shows her sales for four weeks.

In the given table, we have
The sales for the first week = Rs. 1920 …………………………………(2)
From equation (1), we have the percentage of Sara’s commission on her sales.
The amount of commission that Sara earns on her sales of the first week = Rs. 5% of 1920 = Rs. \[\dfrac{5}{100}\times 1920\] = Rs. \[\dfrac{1}{2}\times 192\] = Rs. 96 ………………………………….(3)
In the given table, we have
The sales for the second week = Rs. 1680 …………………………………(4)
From equation (1), we have the percentage of Sara’s commission on her sales.
The amount of commission that Sara earns on her sales of the second week = Rs. 5% of 1680 = Rs. \[\dfrac{5}{100}\times 1680\] = Rs. \[\dfrac{1}{2}\times 168\] = Rs. 84 ………………………………….(5)
In the given table, we have
The sales for the third week = Rs. 3360 …………………………………(6)
From equation (1), we have the percentage of Sara’s commission on her sales.
The amount of commission that Sara earns on her sales of the third week = 5% of Rs. 3360 = Rs. \[\dfrac{5}{100}\times 3360\] = Rs. \[\dfrac{1}{2}\times 336\] = Rs. 168 ………………………………….(7)
In the given table, we have
The sales for the fourth week = Rs. 2640 …………………………………(8)
From equation (1), we have the percentage of Sara’s commission on her sales.
The amount of commission that Sara earns on her sales of the fourth week = 5% of Rs. 2640 = Rs. \[\dfrac{5}{100}\times 2640\] = Rs. \[\dfrac{1}{2}\times 264\] = Rs. 132 ………………………………….(9)
From equation (3), equation (5), equation (7), and equation (9), we have The amount of commission that Sara earns on her sales of the first week, second week, third week, and fourth week.
The total amount of commission that Sara earns on her sales of the first week, second week, third week, and fourth week = \[\text{Rs}\text{.}\left( 96+84+168+132 \right)\] = Rs. 480.
Hence, the correct option is (D).

Note: We can also solve this question by another method.

In the given table, we have
The sales for the first week = Rs. 1920.
The sales for the second week = Rs. 1680.
The sales for the third week = Rs. 3360.
The sales for the fourth week = Rs. 2640.
The total sales from the first week to the fourth week = Rs. \[\left( 1920+1680+3360+2640 \right)\] = Rs. 9600.
It is given that Sara earns a 5% commission on her sales.
The total amount of commission that Sara earns on the total sales of Rs. 9600 = Rs. 5% of 9600 = Rs.
\[\dfrac{5}{100}\times 9600\] = Rs. \[5\times 96\] = Rs. 480.
Hence, option (D) is the correct one.