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Four friends, Priyanka, Pinki, Rinki, and Munni start travelling towards a certain distance from the same point and at the same time. The following four pie charts give the information about the percentage of the total distance travelled by them in five different modes of tarvellling i.e on foot, bicycle, Bike, Car and Rickshaw. Each one travels a different distance in the same time.

The following table provides information about the distance (in km) travelled by each of them on foot as a percentage of the sum of the total distance travelled by them on foot.

Priyanka | Pinki | Rinki | Munni |

20% | 30% | 25% | 25% |

Important for :

1

C

the total distance travelled by them on foot = x kmThe total distance travelled by Priyanka on foot = 20% of x

= | x | km = 16% of the total distance travelled by her |

5 |

x | = 16% of the total distance travelled by Priyanka |

5 |

By, solving

The total distance travelled by Priyanka = | 5x | = 1.25 x km |

4 |

The total distance travelled by Rinki = 25 × | x | = 1.14x km |

22 |

The total distance travelled by Munni = | 5x | = 1.25x km |

4 |

Hence, option C is correct.

2

E

The distance travelled by Priyanka on foot = 16% of the total distance = 36 km

The total distance travelled by Priyanka = 225 km

Average speed = 45 km/hr,

The total distance travelled by Priyanka = 225 km

Average speed = 45 km/hr,

Total time = | 225 | = 5 hours............(i) |

45 |

From the table, 36 km = 20% of the total distance travelled by all of them on foot

The total distance travelled by Munni on foot = 25% of the total distance travelled by all of them on foot

Since, 20% = 36 therefore,

25% = 36 × | 25 | = 45 km |

20 |

From the pie chart, 45 km = 20% of the total distance travelled by Munni

The total distance travelled by Munni

= 45 × | 100 | = 225 km |

20 |

In the question, it is given that each of them takes equal time, so from the equation (i) even Munni will take 5 hours

Average speed of Munni = | 225 | = 45 km/hr |

5 |

Required difference = 45 – 45 = 0 km/hr

Hence, option E is correct.

3

E

Let the time taken by Pinki = x hoursThen according to the question, the time taken by Priyanka = x + 1 hours

Now, For Priyanka

20% of the total distance travelled by all of them on foot = 16% of the total distance

travelled by Priyanka

20% of 250 = 16% of the total distance travelled by Priyanka

By solving, the total distance travelled by Priyanka = 312.5 km

Average speed = | 312.5 | km/hr |

(x + 1) |

Similarly for Pinki,

30% of the total distance travelled by all of them on foot = 15% of the total distance

travelled by Pinki

30% of 250 = 15% of the total distance travelled by Pinki By solving, the total

distance travelled by Pinki = 500 km

Average speed = | 500 | km/hr |

x |

Required Ratio = | 312.5 | km/hr : | 500 | km/hr |

(x + 1) | x |

Since it is not possibe to determine the value of x so ratio can't be determined

Hence, option E is correct.

4

A

The total distance travelled by all of them on foot is 300 kmFor Priyanka,

The total distance travelled by Priyanka on foot = 20% of the total distance travelled by all of them on foot = 20% of 300 = 60 km

16% of the total distance travelled by Priyanka = 60 km

The total distance travelled by Priyanka by car and by rickshaw = (18 + 24) % of the total distance 16% = 60 so the value of 42%

16% of the total distance travelled by Priyanka = 60 km

The total distance travelled by Priyanka by car and by rickshaw = (18 + 24) % of the total distance 16% = 60 so the value of 42%

= 60 × | 42 | = 157.5 km |

16 |

Similarly, For Pinki,

30% of 300 = 15% of the total distance travelled by her

15% = 90 So, (20 + 15)% = 35%

= 90 × | 35 | = 210 km |

15 |

25% of 300 = 22% of the total distance travelled by her 22% = 75 km

So, (19 + 16)% = 35%

= 75 × | 35 | = 119.32 km |

22 |

For Munni,

25% of 300 = 20% of the total distance travelled by her 20% = 75 km

So, (26 + 18)% = 44%

= 75 × | 44 | = 165 km |

20 |

The required sum = 157.5 + 210 + 119.32 + 165 = 651.82 km

Hence, option A is correct.

5

A

The sum of the total distance travelled by Priyanka and Pinki together on foot is 125 × 2 = 250 km

From the data table, the sum of the total distance travelled by Priyanka and Pinki together on foot = (20 + 30) % of the total distance travelled by all of them on foot

From the data table, the sum of the total distance travelled by Priyanka and Pinki together on foot = (20 + 30) % of the total distance travelled by all of them on foot

50% of the total distance travelled by all of them on foot = 250 km

the total distance travelled by all of them on foot

= 250 × | 100 | = 500 km |

50 |

the total distance travelled by Rinki on foot = 25% of 500 = 125 km = 22% of the total distance travelled by her 22% of the total distance = 125

Total distance = 125 × | 100 |

22 |

Total time taken by her = 14 hrs

Speed = | (125 × 100) | km/hr |

(14 × 22) |

the total distance travelled by Munni on foot = 25% of 500 = 125 km = 20% of the total distance travelled by her 20% of the total distance = 125

Total distance = 125 × | 100 |

20 |

Total time taken by her = 14 hrs

Speed = | (125 × 100) |

(20 × 14) |

The required Ratio = | (125 × 100) | : | (125 × 100) | = 10 : 11 |

(14 × 22) | (14 × 20) |