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Answers
Answer:
Explanation:
The rate of tea is Rs 60 per kg and the rate of sugar is Rs 12 per kg.
Step-by-step explanation:
We are given that last year 1 kg of tea and 3 kg of sugar together cost Rs 96. This year, the rates of tea increased by 15% and that of sugar by 10%. So the amount of tea and sugar now cost Rs. 108.60.
Let the rate of tea be 'Rs x per kg' and the rate of sugar be 'Rs y per kg'.
The first condition states that last year 1 kg of tea and 3 kg of sugar together cost Rs 96, that is;
------------ [Equation 1]
The second condition states that this year, the rates of tea increased by 15% and that of sugar by 10%. So the amount of tea and sugar now cost Rs. 108.60, that is;
So, this year rate of tea =
=
Also, this year rate of sugar =
=
Now, the equation so formed is;
{taking 5 common from both sides}
{using equation 1}
Now, putting value oy y in equation 1 we get;
So, the per kg rates of tea is Rs 60 per kg and that of sugar is Rs 12 per kg.