The bus fare for one person is ₹ 420 from Agra to Aligarh and the train fare between the same places for one person is equal to three-fourths the bus fare for two persons between the same places. What is the total fare paid by 3 persons travelling by bus and 4 persons travelling by train between the two places?
(a)₹ 3360
(b)₹ 3406
(c)₹ 3440
(d)₹ 3460
(e)None of these
Answer
Answer (as printed): E
Explanation
Bus fare for 1 person $=₹ 420$. Train fare for 1 person $=₹\left(\frac{3}{4} \times 840\right)=₹ 630$. $$\begin{aligned} \therefore \quad \text { Total fare } & =₹(3 \times 420+4 \times 630) \\ & =₹(1260+2520)=₹ 3780 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.