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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

Hence, option A is correct.

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