Jagbir blended 8 kg of one type of jaggery with 12 KG of another this sold each kg the blended jaggery at a price 50% higher than the cost price of the first type of jaggery per kg and made an overall profit of 25% what is the ratio of the cost price of the first and second type of jaggery
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Step-by-step explanation:
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Answer:
The ratio of the cost price of the first and second type of jaggery is 3 : 4
Step-by-step explanation:
Let x be the cost price per kg of first type of the jaggery and y be the cost price per kg of the second type of jaggery,
Thus, the total cost price of the 8 kg of one type of jaggery with 12 kg of another type = 8x + 12y,
Total jaggery = 8 + 12 = 20 kg,
Now, the selling price of the total jaggery per kg = 150% of x = 1.5x,
Thus, selling price of the jaggery = 1.5x × 20 = 30x,
According to the question,
125% of (8x+12y) = 30x
1.25(8x+12y) = 30x
10x + 15y = 30x
15y = 20x
Hence, the ratio of the cost price of the first and second type of jaggery is 3 : 4
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