Question

kantabai bought 1.5kg tea and 5 kg sugar from a shop she paid rs50 as return fare for rickshaw total expenses was rs700 then she realized that by ordering online the goods can be bought with free home delivery at the same prise so next monthe she placed the order online for 2kg tea and 7kg sugar she paid rs880 for that. find the rate of sugar and tea per kg

Answer 1

let x be cost of tea and y be cost of sugar
as she paid 50rs as return fare
700-50=650rs
therefore,
1.5x + 5y = 650
2 X (1.5x+5y=650)...as to remove the decimal
3x+10y=1300...1
A\C 2nd
2x+7y=880...2
multiply eqn 1 by 2 and 2 by 3
6x+20y=2600......3
6x+21y=2640......4
substracting eqn 4 and 3
6x+21y=2640
6x+20y=2600
____________
y = 40

substituting y=40 in eqn 1
3x + 10y = 1300
3x + 10(40) = 1300
3x + 400 = 1300
3x = 1300-400
3x = 900
x = 900/3
x = 300

therefore
cost of tea per kg = 300rs
cost of sugar per kg = 40rs

Answer 2

Ans. X= 300 RS

Y = 40