Question

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Answer 1

Step-by-step explanation:

✬ Fixed Charge = Rs 5 ✬

✬ Charge per km = Rs 10 ✬

Step-by-step explanation:

Given:

• Taxi charges consists of a fixed charge together with the charge for the distance covered.
• For distance of 10 km charge paid is Rs 105.
• For distance of 15 km charge paid is Rs 155.

To Find:

• Value of fixed charge and charge per km?

Solution:

Let the fixed charge be Rs x and charge per km is Rs y.

In first condition

Distance travelled = 10 km

So charge = 10y

Equation will be x + 10y = 105

➮ x + 10y = 105

➮ x = 105 – 10y. . . . (i)

In second condition

Distance travelled = 15 km

So charge = 15y

Equation will be x + 15y = 155. . . . .(ii)

Now putting the value of x in eqⁿ (ii) equation (i)

⟹ x + 15y = 155

⟹ 105 – 10y + 15y = 155

⟹ 5y = 155 – 105

⟹ y = 50/5

⟹ y = 10

Now put the value of y in equation (i)

➮ x = 105 – 10y

➮ x = 105 – 10 × 10

➮ x = 105 – 100

➮ x = 5

So value of

• • Fixed charge is Rs x = Rs 5
• • Charge per km is Rs y = Rs 10