From a grocery shop Priyanka bought 4 kg of rice and 6 kg of flour for 1700 and Charu bought 6 kg of rice and 4 kg of flour for 1800. Consider the price of one kg of rice and that of one kg of flour be *x and y respectively.
Answers
SOLUTION
GIVEN
From a grocery shop Priyanka bought 4 kg of rice and 6 kg of flour for 1700 and Charu bought 6 kg of rice and 4 kg of flour for 1800.
Consider the price of one kg of rice and that of one kg of flour be x and y respectively.
TO DETERMINE
The price of one kg flour
EVALUATION
Here it is given that
Price of one kg of rice = x
Price of one kg of flour = y
By condition 1
4x + 6y = 1700
On simplification we get
2x + 3y = 850 - - - - - (1)
By condition 2
6x + 4y = 1800
On simplification we get
3x + 2y = 900 - - - - - (2)
2 × Equation 1 - 3 × Equation 2 we get
4x - 9x = 1700 - 2700
⇒ - 5x = - 1000
⇒ x = 200
From Equation 1 we get
400 + 3y = 850
⇒ 3y = 450
⇒ y = 150
Price of one kg of rice = Rs 200
Price of one kg of flour = Rs 150
FINAL ANSWER
Price of one kg of flour = Rs 150
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