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Question

In a collection of Rubber Balls, Tennis balls and Plastic balls, there are 25% more Rubber Balls than Tennis Balls, and there are 30% more Plastic balls than rubber balls. If C is the number of rubber balls what is the total no.. of balls?

a. 31/10C

b,33/11C

c, 34/7C

d. 13/10C

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Solution

option (a) is correct answer


No of tennis ball=t
no of plastic ball=p
no of rubber ball=r
r=t+(25/100)t
=t(1+(1/4))
=(5/4)t
p=r+(30/100)r
=r(1+(3/10)
=(13/10)r
given r=C
C=(5/4)r =>t=(4/5)C
p=(13/10)C
total no of ball=p+t+r
=C+(13/10)C+(4/5)C
=C(1+(13/10)+(4/5))
=C*(31/10)
=(31/10)C

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