From city P, the cost of two train tickets to city Q and three train tickets…
2019
From city P, the cost of two train tickets to city Q and three train tickets to city R is ₹95, but the cost of three tickets to city Q and two tickets to city R is ₹90. What are the respective prices of one train ticket from P to Q and from P to R?
- A.
₹15, ₹21 / 15 रुपये, 21 रुपये
- B.
₹14, ₹24 / 14 रुपये, 24 रुपये
- C.
₹16, ₹21 / 16 रुपये, 21 रुपये
- D.
₹15, ₹23 / 15 रुपये, 23 रुपये
Attempted by 33 students.
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Correct answer: C
Let Q-ticket = x and R-ticket = y. Then 2x+3y=95 and 3x+2y=90. Subtract → y−x=5 ⇒ y=x+5. Substitute: 2x+3(x+5)=95 ⇒ 5x=80 ⇒ x=16, y=21.