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Maths-

General

Easy

Question

A rail journey of 75 km costs Rs 225 How much distance can we travel for Rs 333?

111 km
110 km
101 km
33 km

hint Hint:

We are given the distance travelled by rail in 225 rupees. It is 75km. We have to find the distance travelled in 333 rupees. We will find the rate of journey rupees per km.

The correct answer is: 111 km

Distance travelled in 225 rupees is 75km.
The rate of the rail journey will give us the cost per km. Using that information, we can find the distance travelled in Rs. 333.
$R a t e space equals fraction numerator C o s t over denominator D i s tan c e end fraction space space space space space space space space space equals fraction numerator 225 space r u p e e s over denominator 75 space k m end fraction R a t e equals 3 space r u p e e s space p e r space k m.$
Now, we will use this value to find the required distance
$R a t e space equals fraction numerator C o s t over denominator D i s tan c e end fraction space space W e space w i l l space r e a r r a n g e space t h e space f o r m u l a space t o space f i n d space t h e space d i s tan c e. space W e space w i l l space m u l t i p l y space b o t h space t h e space s i d e s space b y space D i s tan c e space a n d space d i v i d e space b o t h space t h e space s i d e s space b y space R a t e. D i s tan c e space equals fraction numerator C o s t over denominator R a t e end fraction space space space space space space space space space space space space space space space space space space equals fraction numerator 333 space r u p e e s over denominator 3 space begin display style bevelled fraction numerator r u p e e s over denominator k m end fraction end style end fraction space space space space space space space space space space space space space space space space space space equals 111 space k m$
So, the distance of rail journey in Rs. 333 is 111km.

For such questions, we should know find the rate as required.

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