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(2) Kantabai bought 1 kg tea and 5 kg sugar from a shop. She paid 50 asreturn fare for rickshaw. Total expense was 700. Then she realised that byordering online the goods can be bought with free home delivery at the sameprice. So next month she placed the order online for 2 kg tea and 7 kg sugar.She paid 3880 for that. Find the rate of sugar and tea per kg. |
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Answer» Let x be cost of tea and y be cost of sugaras she paid 50rs as return fare 700-50=650rstherefore, 1.5x + 5y = 650 2 X (1.5x+5y=650)...as to remove the decimal3x+10y=1300...1A\C 2nd 2x+7y=880...2multiply eqn 1 by 2 and 2 by 36x+20y=2600......36x+21y=2640......4substracting eqn 4 and 36x+21y=26406x+20y=2600____________y = 40 substituting y=40 in eqn 13x + 10y = 13003x + 10(40) = 13003x + 400 = 13003x = 1300-400 3x = 900x = 900/3x = 300 thereforecost of tea per kg = 300rscost of sugar per kg = 40rs |
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