Question

Till a certain date, Pakistan has a success rate of 50% against India in all the ODIs played between two countries. Pakistan lost all the 30 ODls played against India after that date, and so their success rate decreases to 40%. Find the total number of ODIs played between the two countries.
150
180
120
60​

Answer 1

Answer:

Given: Pakistan’s success rate=60%

Pakistan lost 30 ODI in a row to India

India’s success rate=30%

India won 30 ODI in a against Pakistan

From the above given it is known at India’s success percentage increases to 70%

Let total 5x be the total number of matches played between Pakistan and India

We know that India won by 30 matches

Now total match = 5x+30

2x+30=5x+30(70/100)

10(2x+30)=7(5x+30)

20x+300=35x+210

300-210=35x-20x

90=15

x=90/15

x=6

Hence total matches played = 5x+30

=5(6)+30

=30+30

=60

Hence 60 matches were played.