Question

cost of 3 kg sugar and 4 kg of rice is rupees 440 is price of sugar increases by 5% and rice by 10% cost of 6 kg sugar and 5 kg rice is 692 find price of 1 kg of sugar and 1 kg of rice​

Answer 1

Step-by-step explanation:

Let’s assume the cost of 1 kg of sugar = Rs x

And, let the cost of 1 kg of rice = Rs y

Then according to the given conditions, we have

5x+7y=153 … (i) and

7x+5y=147 … (ii)

Multiplying (i) by 7 and (ii) by 5, we have

35x+49y=1071 … (iii)

35x+25y=735 … (iv)

Subtracting (iv) from (iii), we get

24y=336

⇒y=

24

336

⇒y=14

On substituting the value of y in (i), we get

5x+7(14)=153

⇒5x+98=153

⇒5x=153−98

⇒5x=55

⇒x=

5

55

=11

Hence,

The cost of 1 kg of sugar is Rs 11 and

The cost of 1 kg of rice is Rs 14.

Now,

Cost of 6 kg of sugar = Rs 11×6= Rs 66

Cost of 10 kg of rice = Rs 14×10= Rs 140

Thus, the cost of 6 kg of sugar and 10 kg of rice = Rs 66+ Rs 140= Rs 206.