Question

If the cost of traveling 50 km is Rupees 75 , then the cost of traveling 8 km is ??
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Answer 1

Cost for travelling 50km =rs75

Cost for travelling 1km=rs75÷50km=

3/2 rupees.

Cost for travelling 8km =3/2×8=24/2=rs12.

Hence,Cost of travelling 8km is rs 12.

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

The Cost of travelling 8 km is Rs.12

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

The cost of travelling 50km = Rs.75

To find :

The cost of travelling 8 km

Solution :

$\textbf{\underline{\underline{Method I}}}$

By Proportion =

Consider cost of travelling 8 km as x

50 : 75 : : 8 : x

$\star$ As we know :

$\boxed{\sf{Mean \times Mean Terms = Extreme \times Extreme Terms}}$

Mean terms = 75 and 8

Extreme terms = 50 and x

$\tt{\implies}75 \times 8 = 50 \times x$

$\tt{\implies}600 = 50x$

$\tt{\implies}x = \dfrac{600}{50}$

$\tt{\implies} x = 12$

$\therefore$ The Cost of travelling 8 km is Rs.12

$\textbf{\underline{\underline{Method II}}}$

By Unitary Method :

Cost of traveling 1 km =

$\tt{\implies}$ 75 ÷ 50

$\tt{\implies}$ 1.5

Cost of travelling 8 km =

$\tt{\implies}$ 8 × 1.5

$\tt{\implies}$ 12

$\therefore$ The Cost of travelling 8 km is Rs.12