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Question

One day the ratio of the number of first class and second class passengers who travelled were in the ratio 1 : 30 The ratio of the first and second class fares is 3 : 1 The total amount collected from the passengers that day was Rs 66000 Find the amount collected from the first class passengers (in Rs)

A
Rs 3000
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B
Rs 6000
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C
Rs 9000
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D
Rs 12000
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Solution

The correct option is B Rs 6000
Ratiooffirstclasspassengersto2ndclass=1:30Ratiooffares=3:1Soratiooffarespaidbyallthepassengersinfirstclassto2ndclass=3:30or1:10Iffarepaidbyallfirstclasspassengers=xFarepaidbyall2ndclass=10xTotalfarebyfirstand2ndclass=11xIftotalfarefromallpassengers=Rs66000So11x=66000x=6000Farepaidbyallfirstclasspassengers=Rs6,000

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