Proportional payments — dinner bill split: Find Veena's fraction of the total bill. Amita paid 2/3 as much as Veena paid. Veena paid 1/2 as much as Tanya paid. What fraction of the total bill was paid by Veena? Choose the correct fraction.

Q: Proportional payments — dinner bill split: Find Veena's fraction of the total bill. Amita paid 2/3 as much as Veena paid. Veena paid 1/2 as much as Tanya paid. What fraction of the total bill was paid by Veena? Choose the correct fraction.

Let Veena's share be V Amita A = (2/3)V Veena V = (1/2)T ⇒ Tanya T = 2V Compute total Total = A + V + T = (2/3)V + V + 2V = (2/3 + 3)V = (11/3)V Fraction paid by Veena V / [(11/3)V] = 3/11 Final Answer 3/11

Difficulty: Easy

1/3
3/11
12/13
5/8

Correct Answer: 3/11

Explanation:

Let Veena's share be V

Amita A = (2/3)V
Veena V = (1/2)T ⇒ Tanya T = 2V

Compute total
Total = A + V + T = (2/3)V + V + 2V = (2/3 + 3)V = (11/3)V

Fraction paid by Veena
V / [(11/3)V] = 3/11

Final Answer
3/11

← Previous Question Next Question→

More Questions from Arithmetic Reasoning

Geometry of planting grid — compute garden length: Use rows, columns, spacing, and side margins. Trees are planted in 10 rows and 12 columns; spacing between adjacent trees = 2 m. A clear margin of 1 m is left on all four sides from the boundary. Find the length of the rectangular garden. Choose the correct length (in metres).
Number theory — class composition check: Determine which total is impossible. In a class, the number of boys is 3 times the number of girls. Which of the following cannot be the total number of students? Choose the single impossible total.
Percent breakdown — ownership counts: Identify the statement that is definitely true. 20% of members own only two cars each. Of the remaining members, 40% own three cars each; the rest own only one car each. Which statement is definitely true? Select the correct statement.
Arithmetic word problem — shared dishes at a party: Compute the number of guests from combined dish counts. Every 2 guests shared 1 bowl of rice; every 3 guests shared 1 bowl of dal; every 4 guests shared 1 bowl of meat. Altogether, the total number of dishes used was 65. How many guests attended the dinner? Choose the correct number of guests.
Counting digits — page numbering from 1 to 366: Find the total digits used. A book has 366 pages numbered consecutively starting from page 1. How many numerical digits are printed in all page numbers? Choose the correct total.
LCM of time intervals — synchronized bells: Count joint tolls in one hour (excluding the start). Five bells toll together initially, then at intervals of 6, 5, 7, 10 and 12 seconds respectively. How many additional times do they toll together within 1 hour (excluding the initial toll at t = 0)? Choose the correct count.
Average and linear equations (sports scoring): Determine individual scores from linked conditions and the team average. Batsmen A, B, C, D, and E have an average score of 36 runs (total = 5 × 36 = 180). Given: D scored 5 more than E; E scored 8 fewer than A; B scored the total of D and E; and B + C = 107. Find the number of runs scored by E. Choose the correct value.
Family composition puzzle (brothers and sisters): Use simultaneous conditions for sons and daughters. Each daughter has as many brothers as sisters. Each son has twice as many sisters as brothers. Find the number of sons in the family. Choose the correct value.
Age puzzle with reversed digits and ratio condition: Determine the woman's present age. When the woman's age digits are reversed, the result is her husband's age. He is older than she is. The difference between their ages equals one-eleventh of their sum. Find the woman's current age. Choose the correct value.
Sum of ages back in time: Adjust a current total to a past total. Present total age of Amar, Akbar, and Anthony = 80 years. Find the total of their ages three years ago. Choose the correct value.

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion