ind the ratio of the winning percentage of Mumbai and Delhi to the losing percentage of Chennai and ...........

Data Interpretation ( SBI PO) Case Studies

Directions: In a football tournament. There are four football teams Chennai, Mumbai, Delhi, and Kolkata each will play against each other Two times.

1. One match will be in-home and another match will be away.

2. Each team will get 2 game points when they hit a goal and they will lose 1 game point when they concede a goal.

3. A team will get 5 points in winning a game. To qualify for finals a team should get above 10 points.

Note:

(i) Team Chennai won 3 matches Mumbai won 5 matches and Delhi and Kolkata have won the remaining matches equally.

(ii) Two match between Kolkata and Delhi is drawn due to the equal number of goals.

ind the ratio of the winning percentage of Mumbai and Delhi to the losing percentage of Chennai and Kolkata.

(Note : reference for winning/losing percentage is Total number of matches played)

This questions was previously asked in

SBI PO Mains (29 Jan, 2021)

View All SBIPO Previous Year Papers

7 : 6

1 : 1

3 : 4

4 : 5

2 : 3

Explanation:

Let’s break this down:

- There are 4 teams: Chennai, Mumbai, Delhi, Kolkata.

- Each team plays the other two times (home & away), so each pairing has 2 matches. That’s 4 teams, so total matches: 4 x 3 = 12, and with home/away: 12 (since each match is unique, not double-counted).

- (i) Chennai won 3, Mumbai won 5, so 8 wins out of 12. Delhi and Kolkata share the other 4 wins—so 2 each.

- (ii) Both matches between Delhi and Kolkata are drawn.

Here’s where it gets interesting:

- Winning percentage for Mumbai: 5/6 (since each team plays 6 matches).

- Winning percentage for Delhi: 2/6.

- So total, Mumbai + Delhi: (5+2)/6 = 7/6.

- Losing percentage for Chennai: Chennai lost (6-3-1=2, since 1 draw vs each team), so 3/6 (but with two draws among Delhi & Kolkata, so verify carefully). Actually, Chennai: 3 wins, so possibly 2 losses, 1 draw.

- Kolkata: 2 wins, so 4 not-wins, of which 2 are draws, so 2 losses. So losing for Kolkata: 2/6.

So, Chennai loss: (6 – wins – draws); ditto for Kolkata. Adding both: Chennai 2/6 + Kolkata 2/6 = 4/6 = 2/3.

So, the ratio of (Mumbai+Delhi win %):(Chennai+Kolkata loss %) = (7/6):(4/6) = 7:4.

Let’s match these with the options.

Here’s the correct choice:

Option 3: 3 : 4

Option 4: 4 : 5

Option 1: 7 : 6

Option 5: 2 : 3

Option 2: 1 : 1

But we calculated 7:4. None seem to fit, but let’s check the math. Mumbai+Delhi = 7 wins, Chennai+Kolkata = 4 losses, so ratio = 7:4.

But your answer was Option 2: 1:1.

The actual ratio (Mumbai+Delhi’s total winning % to Chennai+Kolkata’s total losing %) is 7:4, which matches no options exactly—but option 1 (7:6) is closest to correct method, but not exact. If a typo, best would be 7:4.

- Draws don’t count toward win/loss percentage.

- Each team plays 6 matches (against 3 teams * 2).

- The total number of matches is right and division is right.

- So what this really means is, the answer should be 7:4. Since it’s missing as an option, double check if the provided options have a typo, but Option 2: 1:1 is definitely not it.