On selling a bowl at 5% loss and a coffee mug at 15% gain, a crockery seller gains 7rupees. If he sells the bowl at 5% gain and the coffee mug at 10% gain, he gains 13 rupees. Find the actual price of the bowl and the coffee mug??
Answers
Coffee mug = Rs 80 & Bowl = Rs 100
Step-by-step explanation:
Let say Bowl Price = Rs B
& Coffee Mug Price = Rs C
Selling a bowl at 5% loss and a coffee mug at 15% gain, a crockery seller gains 7rupees.
=> (15/100)C - (5/100)B = 7
=> 15C - 5B = 700
=> 3C - B = 140
selling the bowl at 5% gain and the coffee mug at 10% gain, he gains 13 rupees
=> (10/100)C + (5/100)B = 13
=> 10C + 5B = 1300
=> 2C + B = 260
Adding both
=> 5C = 400
=> C = 80
=> 2(80) + B = 260
=> B = 100
Coffee mug = Rs 80 & Bowl = Rs 100
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