A person covers a certain distance by Train, Bus and Car in ratio 4 : 3: 2. The ratio of fare is 1 : 2 : 4 per km. The total expenditure as a fare is Rs. 720. Then, total expenditure as fare on train is:

A Rs. 140

B Rs. 150

C Rs. 160

D Rs. 170

E None of these

Solution

Correct Answer: Option C

Let the journey covered by train, bus and car = ‘4a’, ‘3a’ and ‘2a’ respectively.

Let fare of train, bus & car = ‘b’, ‘2b’ and ‘4b’ per km.

Then, fare paid for train, bus & car = 4ab, 6ab, 8ab respectively.

∴ Total fare = 4ab + 6ab + 8ab = 18ab

Given that,

⇒ 18ab = 720

Or, ab = 40

∴ Fare spent on train = 4ab

= 4 × 40 = Rs. 160.

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