Question

The rent of a mini bus hired for a trip is partly fixed and partly vary in direct proportion to
the number of passengers. For a particular trip carrying 10 passengers, the rent turned out to
be Rs.2200; for another trip with 20 passengers, the rent was Rs.3400. Find the fixed rent.
1) Rs.100
2) Rs.1200
3) Rs.1000
4) Rs.120​

Answer 1

★ Answer

The Fixed rent is ₹1000 for the Trip.

• For First Trip, 10 Passengers = ₹2200
• For another Trip, 20 Passengers = ₹3400

Let the Fixed rent be x and Partly varying rent according to passengers be y as well.

For the First Condition,

x + 10y = 2200 [1]

For Second condition,

x + 20y = 3400 [2]

After Calculating [1] and [2] Equation, we got that y = ₹120 as Per passengers.

For Fixed rent as,

→ x + 10y = 2200

→ x + 10 × 120 = 2200

→ x + 1200 = 2200

→ x = 2200 - 1200

→ x = ₹1000

Hence, The Fixed rent will be ₹1000.