# A bat and ball cost Rs. 1.10 and the difference between them is Rs. 1. How much does each cost?

+1 vote
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A bat and ball cost Rs. 1.10 and the difference between them is Rs. 1. How much does each cost?

posted Apr 11, 2014

Eq1: Bat + Ball = Rs 1.1
Eq2: Bat - Ball = Rs 1

2 Bat = Rs 2.1 i.e. Bat is Rs1.05 which implies ball is Rs .05

x+y=1.10------>eqn1
x-y=1.0------->eqn2
2x=2.10------>by summing up
x=1.05---->cost of bat
y=.05----->cost of ball

+1 vote

Let,
x = Cost of Bat
y = Cost of Ball

1. x + y = 1.10
2. x - y = 1.00

2y = 0.10

Therefore , y = 0.10/2 = 0.05
x = 1.01-0.05 = 1.05

Now , Bat (x)= 1.05
Ball(y) = 0.05

bat rs 1, ball 0.10

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