A producer of tea blends produces two varieties of tea from two tea gardens one costing Rs. 18 per Kg and another Rs. 20 per kg in the ratio x:y. If he sells the blended variety at Rs. 21 per kg. His gain percentage is 12 then ratio is:

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answer is C.

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Detailed Solution

Concept: This particular question uses the notion that the total cost of different teas is the sum of the product of the quantity of the varieties and the ratio of each of the varieties, and the total selling price is the product of the sum of the varieties. Since it is a ratio multiplied by the selling price, we use these concepts to achieve a solution to the problem.
Given, 18 Rs per kg is the cost of first variety tea, and Rs 20 per kg is the cost of second variety of tea
Total cost price is equal to

Total selling price is equal to

To calculate the gain percentage we use

Given that 12% is the gain percentage
Thus, on further solving we get:
Question Image

So, His gain percentage is 12 then ratio is

.
Hence, the correct answer is option (3).

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