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Two varieties of spice costing ₹80 per kg and ₹160 per kg are mixed. The blend is sold at ₹140 per kg, yielding a 25% profit. In what ratio are the two spices mixed?

1. 3 : 2
2. 2 : 1
3. 1 : 2
4. 3 : 1

Correct answer: 3 : 2

Solution

Selling at ₹140 with 25% profit means cost price = 140/1.25 = ₹112 per kg. By alligation, the cheaper-to-dearer ratio = (160-112) : (112-80) = 48 : 32 = 3 : 2.

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