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CMAT 2016 Solved Question Paper
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© examsnet.com
Question : 1
Total: 100
Due to 20% hike in bus fare, a 10% fall in the passenger traffic was recorded. Yet the daily collection of a bus depot increased by ₹ 150. What was the daily collection of the bus depot after the fare hike?
₹ 2100
₹ 2250
₹ 2025
₹ 1875
Validate
Solution:
(c) Let the fare of bus be ₹ x
and number of passengers be y.
Total amount = x • y
New bus fare = 1.2x
Number of passengers = 0.9y
New amount = 1.2x × 0.9y
According to the question,
1.2x × 0.9y - x • y = 150
⇒ 1.08xy- xy = 150
⇒ 0.08xy = 150
⇒ xy =
150
0
.08
⇒ xy = ₹ 1875
∴ Collection after hike = xy + 150 = 1875 +150 = 2025
© examsnet.com
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