Question

The following line graph shows the sales and cost of goods sold (in rupees) for XYZ Co. over 10 months, from Month 1 to Month 10.

What were the average sales and average cost of goods sold, in rupees, for XYZ Co. over the ten months?

• A. 1819, 1651
• B. 1919, 1751
• C. 1969, 1762
• D. 1719, 1601

Hint:

Add the ten sales figures and divide by 10 for the average sales, then do the same for cost, and match the pair against the options.

Answer 1

The Correct Option is A

Step 1: List the sales and cost figures read off the graph for each month.
Reading the two curves gives these approximate values, in rupees, for months 1 to 10.
Sales: 2200, 1750, 1625, 2250, 1700, 1825, 2100, 1450, 1700, 1650.
Cost of goods sold: 1800, 1625, 1250, 1975, 1575, 1800, 1825, 1350, 1600, 1700.

Step 2: Add up the ten monthly sales figures and divide by 10.
The sum of sales is \[ 2200+1750+1625+2250+1700+1825+2100+1450+1700+1650 = 18250 \] so the average sales over the ten months is \(18250 \div 10 = 1825\).

Step 3: Add up the ten monthly cost figures and divide by 10.
The sum of the cost of goods sold is \[ 1800+1625+1250+1975+1575+1800+1825+1350+1600+1700 = 16500 \] so the average cost is \(16500 \div 10 = 1650\).

Step 4: Match these averages against the options.
The computed pair is (1825, 1650). Reading the graph is only approximate, so we look for the option closest to this pair rather than an exact match. The option with sales 1819 and cost 1651 is a close match to 1825 and 1650, both numbers within a handful of rupees.
The other options are further off: an average sales figure of 1919 or 1969 is noticeably higher than what the graph supports, since only three of the ten months, 1, 4 and 7, even reach above 2000 in sales, and an average sales figure of 1719 is too low given that six of the ten months have sales above 1650.

Final Answer:
The average sales and average cost of goods sold over the ten months were about 1825 and 1650, matching the option (1819, 1651) most closely. \[ \boxed{(1819,\ 1651)} \]