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Question

Mathematics Question on Ratio and Proportion

Two companies A and B quote for a tender. On the tender opening day, A realises that the two quotes are in the ratio 7 : 4 and hence decreases its price during negotiations to make it Rs.1 lakh lower than B's quoted price. B then realises that the final quotes of the two were in the ratio 3 : 4. By how much did A decrease its price in order to win the bid?

A

Rs.7 Lakhs

B

Rs.4 lakhs

C

Rs.9 lakhs

D

None of these

Answer

Rs.4 lakhs

Explanation

Solution

Let the quotes of A and B be 7x7x and 4x4x

According to the question,

=4x14x=34=\frac{4x-1}{4x}=\frac{3}{4}

=4x1=3x=4x-1=3x (or) x=1x=1 Lakh

Amount decreased by A in price to win the bid is given by,

=7x(4x1)=7x-(4x-1)

=3x+1=4=3x+1=4 Lakh

Hence, option B is the correct answer.The correct option is (B): Rs.4 lakhs