Elimination Method of Finding Solution of a Pair of Linear Equations
Aashi buys tw...
Question
Aashi buys two bags for a total cost of Rs. 1000. By selling one for 5/6th of its cost and the other for 6/5th of its cost, the total profit earned by her is Rs. 68. What is the cost of the higher priced bag?
A
Rs. 640
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B
Rs. 540
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C
Rs. 700
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D
Rs. 720
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E
None of these
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Solution
The correct option is A Rs. 640 Let the cost price of the bag be Rs. x
Cost price of another bag = Rs. 1000 – x
According to the question,
x × 5/6 + (1000 – x) × 6/5 = 1000 + 68
⇒ 5x/6 + 1200 – 6x/5 = 1068
⇒ 11x/30 = 1200 – 1068
⇒ 11x/30 = 132
⇒ x = 360
Cost of the higher priced bag = 1000 – 360 = Rs. 640