There are $$3$$ pineapples, $$6$$ bananas and $$7$$ apples. Each fruit of the same category has the same price. The total amount of the fruits in the first row is Rs. $$44$$, that of the third row is Rs. $$54$$ and that of the first column is Rs. $$72$$. Then the total amount in rupees of the fruits in the second row is
Correct Answer: 82
Solution
Let the prices of an apple, banana and pineapple be $$a$$, $$b$$ and $$p$$. The first row gives $$a+b=22$$, the third row gives $$p+a+2b=54$$, and the first column gives $$2a+p+b=72$$. Solving gives $$a=20$$, $$b=2$$ and $$p=30$$. The second row costs $$a+2p+b=20+60+2=82$$.
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