Question

Read the information provided and answer the question that follows: 
Given below in the first chart is the percentage distribution of total cars (MUV & SUV) distributed by 8 dealers, namely, A, B, C, D, E, F, G, and H across the country. Similarly, the second chart shows the SUV cars distributed by the same dealers in the year 2023. Further, it is known that the sum total of SUV and MUV cars sold by all the 8 dealers for the year 2023 is 56000 and the total number of SUV cars sold during the same duration is 32000. 
Determine the ratio between the total number of SUV cars distributed by dealers A and B together and total number of SUV and MUV cars distributed by dealers C and F together? 

• A. 54:77
• B. 64:73
• C. 64:77
• D. 1:4.33
• E. 64:79

Hint:

To avoid large numbers, you can compute ratios using raw factors: $\frac{32 \times 32000}{22 \times 56000} = \frac{32 \times 32}{22 \times 56} = \frac{32 \times 4}{22 \times 7} = \frac{128}{154} = \frac{64}{77}$.

Answer 1

The Correct Option is C

Step 1: Calculate SUV cars for A and B.
Total SUVs = 32,000. From Chart 2, A = 16%, B = 16%.
Total % = $16\% + 16\% = 32\%$.
A+B (SUV) = $0.32 \times 32,000 = 10,240$.

Step 2: Calculate Total cars (MUV & SUV) for C and F.
Total Cars = 56,000. From Chart 1, C = 14%, F = 8%.
Total % = $14\% + 8\% = 22\%$.
C+F (Total) = $0.22 \times 56,000 = 12,320$.

Step 3: Find the ratio.
Ratio = $10,240 : 12,320$.
Divide by 10 to get $1024 : 1232$.
Divide by 16 to get $64 : 77$.