The value of 12kg of sugar is equal to the value of 6kg of rice the price of 10 kg sugar and 8 kg rice is RS. 1040 find the of 1 kg sugar
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Let :
- Price of 1kg sugar = Rs x
- Price of 1kg rice = Rs y
Given :
- Cost of 12 kg sugar = Cost of 6 kg rice
- Cost of 10kg sugar + Cost of 8kg rice = Rs 1040
To find :
Cost of 1kg sugar (x)
Solution :
First of all, form relationship between cist of rice and sugar by forming linear equation.
1) We are given that, Cost of 12 kg sugar = Cost of 6 kg rice
➝ 12x = 6y
➝ y = 2x ..... equation 1
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2) Also, Cost of 10kg sugar + Cost of 8kg rice = Rs 1040
➝ 10x + 8y = 1040
Put value of y from equation 1 into equation 2,
➝ 10x + 8(2x) = 1040
➝ 10x + 16x = 1040
➝ 26x = 1040
➝ x = 1040 ÷ 26
➝ x = 40
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ANSWER :
Cost of 1kg sugar (x) = Rs 40
Answered by
0
Answer:
Cost of 1kg sugar is ₹40.
Step-by-step explanation:
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