Multiple choice

Passage

Directions: Read the passage and answer the following question. Person A: House rent of 'A' is Rs. 4,000, which is 20% less than the expenditure on food. Transportation and other expenses together are 20% more than the expenses on house rent and food together. Transportation expenses of 'A' are Rs. 1,000 less than the expenditure of 'B' on food. Person B: House rent of 'B' is Rs. 30 more than 15% of the total expenditure of A. Expenditure of 'B' on food is the same as the average expenditure of 'A' on house rent and food. Expenditures of 'A' and 'B' on transportation are in ratio 7 : 9. Total expenditure of 'B' is Rs. 15,200. Person C: House rent of 'C' is the same as the difference between the total expenditure of 'A' and 'B'. Food and transportation expenses of 'C' together are the same as the transportation and other expenses of 'B'. Food and transportation expenses of 'C' are in ratio 5 : 2. Other expenses of 'C' are equal to 30% of his house rent.

Average expenses on other things of all three persons are what percent of the total expenditure of 'A'?

  1. 25%

  2. 20%

  3. 18%

  4. 16%

  5. 15%
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

The total distance of the three stretches is 3 times 2 km, which equals 6 km. Traveling this 6 km at an average speed of 20 km/hr takes Mr. Tortoise 6/20 hours, or 0.3 hours. Let his speed over the last stretch C be v, making his average speed for the first two stretches 4v. The total time is the 4 km traveled at 4v plus the 2 km traveled at v, so 4/(4v) plus 2/v equals 0.3. Solving 1/v plus 2/v equals 0.3 gives 3/v equals 0.3, so v equals 10 km/hr.

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