Two-destination ticket pricing: Solve simultaneous equations for fares to B and C. 2 tickets A→B + 3 tickets A→C cost Rs. 77. 3 tickets A→B + 2 tickets A→C cost Rs. 73. Find the individual fares from A to B and from A to C. Choose the correct ordered pair (B fare, C fare).
Verbal Reasoning
Arithmetic Reasoning
Difficulty: Easy
Choose an option
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ARs. 4, Rs. 23
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BRs. 13, Rs. 17
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CRs. 15, Rs. 14
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DRs. 17, Rs. 13
Answer
Correct Answer: Rs. 13, Rs. 17
Explanation
Let fares be
- x = fare A→B
- y = fare A→C
Form equations2x + 3y = 77 … (1)3x + 2y = 73 … (2)
Solve(1)×3 ⇒ 6x + 9y = 231(2)×2 ⇒ 6x + 4y = 146Subtract ⇒ 5y = 85 ⇒ y = 17.From (2): 3x + 2(17) = 73 ⇒ 3x = 39 ⇒ x = 13.
Final AnswerRs. 13, Rs. 17