Direction : Study the following table and answer the questions that follow : Number of units produced and sold by six factories (A, B, C, D, E and F) during a yearFactory Units Produced Units Sold A 400 320 B 500 400 C 600 450 D 700 560 E 800 600 F 1000 800
What is the ratio of the average units sold by Factories C, D and F to the average units produced by Factories B, C and D ?
181 : 180
When two averages are taken over the same number of items, their ratio equals the ratio of the corresponding totals, because the common divisor cancels.
Step 1 — Units sold by C, D and F = 450 + 560 + 800 = 1810; average = \(\frac{1810}{3}\).
Step 2 — Units produced by B, C and D = 500 + 600 + 700 = 1800; average = \(\frac{1800}{3} = 600\).
Step 3 — Ratio = \(\frac{1810}{3} : \frac{1800}{3} = 1810 : 1800 = 181 : 180\).
190 : 181 and 191 : 120 overstate the sales side, and 171 : 191 wrongly makes average sales smaller than average production.
181 : 180 option is correct.
Similar Questions
If 80 units of Factory F’s production are transferred to Factory A, while the number of units sold by both factories remains unchanged, what will be the ratio of the revised unsold units of Factory A to the revised unsold units of Factory F ?
What is the ratio of the combined electricity consumption of Zones Y and Z in Q1 to the combined electricity consumption of Zones U and X in Q3 ?
If 40 MWh of Zone Y’s Q3 electricity consumption is reassigned to Zone X, while the total Q3 consumption remains unchanged, what would be the ratio of the revised Q3 consumption of Zone X to the revised Q3 consumption of Zone Y ?
Important Questions from Ratio and Proportion
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
