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:

Given: In 1st barrel: Assam tea : Darjeeling tea : Nilgiri tea = 2 : 3 : 1 In 2nd barrel : Darjeeling tea : Nilgiri tea : Kangra tea = 5 : 4 : 3 Calculation: Assam tea : Darjeeling tea : Nilgiri tea = 2 : 3 : 1 ⇒ 2 + 3 + 1 = 6 Darjeeling tea : Nilgiri tea : Kangra tea = 5 : 4 : 3 ⇒ 5 + 4 + 3 = 12 Equal weight of both barrel. Assam tea : Darjeeling tea : Nilgiri tea = (2 : 3 : 1) × 2 ⇒ 4 : 6 : 2 Assam tea : Darjeeling tea : Nilgiri tea : Kangra tea = 4 : 6 + 5 : 2 + 4 : 3 ⇒ 4 : 11 : 6 : 3 The weight of Kangra Valley per kilogram in the new brand ⇒ (1000 × 3)/(4 + 11 + 6 + 3) ⇒ (1000 × 3)/24 ⇒ 125 gm ∴ The correct answer is 125 gm.