Question 31

While traveling by bus, a man spent ₹60 more than 10 times the fare he paid for an auto rickshaw. The total amount spent by him is 13 times the fare he paid for an auto rickshaw. What total amount of money was spent on Bus as well as Auto rickshaw by the man?

Solution

Let the fare paid for the auto rickshaw = a

According to the problem,

Fare paid for the bus = 10a + 60

Total amount spent by man = 13a

$$\Rightarrow$$ 10a + 60 + a = 13a

$$\Rightarrow$$ 11a + 60 = 13a

$$\Rightarrow$$ 2a = 60

$$\Rightarrow$$ a = 30

$$\therefore\ $$Total amount spent by man = 13a = 13 x 30 = ₹ 390

Hence, the correct answer is Option C

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