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Standard VI

Mathematics

Direct Variation

The ratio of ...

Question

The ratio of the first and second class train fares between two stations is $3 : 1$ and that of the numbers of passengers travelling between the two stations by first and second classes is $1 : 50$ . If on a particular day, $R s . 1, 325$ are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is

R s . 1, 250

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R s . 1, 000

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R s . 850

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R s . 750

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Solution

The correct option is B $R s . 1, 250$
Ratio of first and second class fares $= 3 : 1$
Ratio of number of passengers $= 1 : 50$
$∴$ Ratio of total amount $= 3 \times 1 : 1 \times 50 = 3 : 50$
$∴$ Amount collected from second class passengers
$= R s . (\frac{50}{53} \times 1325) = R s . 1250$ .

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Similar questions

Q. Choose the correct answer from the alternatives given.
The ratio of the first and second class train fares between two stations is

3 : 1

and that of the numbers of passenger travelling between the two stations by first and second classes is

1 : 50

. If on a particular day, Rs.

1, 325

are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is.

Q. The ratio of first class and second class fares between two stations is

6 : 4

and the number of passengers travelling by first class and second class is

1 : 15

. If total fare collected in one day is Rs.

2200

, then the amount collected from first class passengers is

The ratio of the first and second class fares between two stations is 4 : 1 and that of the number of passengers traveling by first and second class is 1 : 40. If Rs 1100 is collected as fare, the amount collected from first class passenger is:

Q. The ratio between the number of passengers travelling by I and II class between the two railway stations is

1 : 50

, whereas the ratio of I and II class fares between the same stations is

3 : 1

. If on a particular day, Rs.

1325

were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers?

Q. The ratio between the number of passengers travelling by

I^{s t}

and

I I^{n d}

class between the two railway stations is

1 : 50

, where as the ratio of

I^{s t}

and

I I^{n d}

class fares between the same stations is

3 : 1

. If on a particular day,

R s . 1325

were collected from the passengers travelling between these stations by these classes, then what was the amount collected from the

I I^{n d}

class passengers?

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The correct option is B Rs.1,250Ratio of first and second class fares =3:1Ratio of number of passengers =1:50∴ Ratio of total amount =3×1:1×50=3:50∴ Amount collected from second class passengers=Rs.(5053×1325)=Rs.1250.

The correct option is B $R s . 1, 250$
Ratio of first and second class fares $= 3 : 1$
Ratio of number of passengers $= 1 : 50$
$∴$ Ratio of total amount $= 3 \times 1 : 1 \times 50 = 3 : 50$
$∴$ Amount collected from second class passengers
$= R s . (\frac{50}{53} \times 1325) = R s . 1250$ .