A blended tea in a barrel contains Assam, Darjeeling and Nilgiri Hills in the ratio 2:3:1. Another barrel contains Darjeeling, Nilgiri Hills and Kangra Valley in the ratio 5.4.3. If equal weights of both blended tea mix together to make a new brand, then the weight of Kangra Valley per kilogram in the new brand is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 125 gm.
Assam weight = 2x; Darjeeling weight = 3x; Nilgiri Hills weight = 1x
Total weight = 2x + 3x + x = 6x
Darjeeling weight = 5y; Nilgiri Hills weight = 4y; Kangra Valley weight = 3y
Total weight = 5y + 4y + 3y = 12y
So, 6x = 12y ⇒ x = 2y
Total weight of the new blend = 6x + 12y = 12y + 12y = 24y
Kangra Valley in the New Blend = 3y
Kangra Valley per Kilogram = (3y/24y) × 1000 = 125 grams
Therefore, the weight of Kangra Valley per kilogram in the new brand is 125 grams.