Question

Kantabai bought 1.5 kg sugar from a shop. she paid rs. 50 as return fare for rickshaw. total expense was rs. 700. then she realised that by ordering online the goods can be bought with free home delivery at the same price. do next month she placed the order online for 2kg tea and 7kg sugar. she paid rs. 880 for that. find the rate of sugar and tea per kg

Answer 1

Let price of tea and sugar be t and s resp,

So, 1.5t + 5s + 50 = 700

1.5t + 5s = 650....(1)

Now, we have

2t + 7s = 880....(2)

Solving (1) and (2) we get

4 X [ 1.5t + 5s = 650 ]

6t + 20s = 2600 and,

3 X [2t + 7s = 880 ]

6t + 21s = 2640

So we get,

s = 2640 - 2600

s = 40

So, 2t + 7(40) = 880

2t = 880 - 280

2t = 600

t = 300

Therefore tea costs 300 per kg, and sugar costs 40 per kg.