12.6 Kg of blended tea contain Assam and Darjeeling tea in the ratio 4 ∶ 5. Then the quantity of Assam tea is to be added to the mixture to make the ratio of Assam to Darjeeling tea 2 ∶ 1 is

Calculation: Let the Assam and Darjeeling tea quantity are 4a and 5a respectively. ⇒ (4a + 5a) = 12.6 [given] ⇒ 9a = 12.6 ⇒ a = 1.4 Assam tea quantity, 4a = 4× 1.4 = 5.6 kg Darjeeling tea quantity, 5a = 5 × 1.4 = 7 kg Let the y kg Assam tea be added. Now, according to the question ⇒ (5.6 + y) / 7 = 2 / 1 ⇒ 5.6 + y = 14 ⇒ y = 14 - 5.6 = 8.4 kg ∴ The correct answer is option (2).