Question 45

The price of 12 kg of sugar is equal to that of 6 kg of rice. The price of 10 kg of sugar and 8 kg of rice Rs. 1040. Find the price 1 kg of sugar.

Solution

Let the cost of$$\frac{sugar}{kg}$$ is Rsx

Rice. is Rs y

Cost of 12Kg sugar =12x

cost. 6kg Rice = 6y

12x=6y

y=$$\frac{12x}{6}$$=2x. (i)

Cost of 10kgsugar=10x

cost of 8kg sugar = 8y

10x +8y=1040

5x+4y=520 ...(2)

5x+8x=520

13 x = 520

x = 40

Cost of 1Kg of sugar = Rs 40


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