A shopkeeper sells a scarf at 5% profit and a shirt at 8% loss, thereby getting a sum of ₹456.25. If she had sold the scarf at 8% loss and the shirt at 5% profit, she would have got 430.25, then the ratio of cost price of scarf and cost price of shirt is
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Step-by-step explanation:
Let the cost price of scarf and shirt is m and n respectively.
1.05 m + 0.92 n = 456.25 (1)
0.92 m + 1.05 n = 430.25 (2)
From (1), m = 434.52 – 0.876 n
From (2), m = 467.66 – 1.14 n
=> n = 33.14/0.264 = 125.53
=> m = 287
=> m/n = 2.286
ratio is 1143:500
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