A man went to market with Rs. 100 in hand. He bought 3 kgs potatoes, y kgs of tomatoes and 4 kgs of cucumber. The amount spent on tomatoes was double than that spent on cucumbers and also is same as one third of that spent on potatoes. After the shopping spree, the man was left with Rs. 10in his pocket. The sum of the rates of tomatoes, potatoes and cucumber is Rs. 27.5.

A man went to market with Rs. 100 in hand. He bought 3 kgs potatoes, y

1.	A man went to market with Rs. 100 in hand. He bought 3 kgs potatoes, y kgs of tomatoes and 4 kgs of cucumber. The amount spent on tomatoes was double than that spent on cucumbers and also is same as one third of that spent on potatoes. After the shopping spree, the man was left with Rs. 10in his pocket. The sum of the rates of tomatoes, potatoes and cucumber is Rs. 27.5.
Answer» The man hasd `100` Rs in hand and he was left with `10` Rs after shopping. So, he spent `90` Rs. Let the rate of the potatoes is `P` Rs per kg, rate of tomatoes is `T` Rs per kg and rate of cucumber is `C` Rs per kg. `:. 3P+yT+4C = 90->(1)` Also, `yT = 2(4C) =>yT = 8C->(2)` Also, `yT = 1/3(3P) =>yT = P->(3)` From (1), (2) and (3), `3(8C)+8C+4C = 90` `=>36C = 90` `=>C = 2.5` `=>P = 8C = *(2.5) = 20` It is alos given that, `P+T+C = 27.5` `=>20+2.5+T = 27.5` So, ratio of rate of tomotoes and rate of tomoatoes `= 5/20 = 1/4` So, statement `(A)` is true. `=>T = 5`