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
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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.
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