The mixture contains Lemon and Mango juice in the ratio of 9:5? Find the value of 'a' and 'p' Statement I: After removing 392 ml of the mixture, 'a' ml of Mango juice and 'a – 80' ml of Lemon are added to the remaining mixture, resulting in the final mixture having 50% Lemon. Statement II: After removing 280 ml of the mixture, 'a' ml of Mango juice is added to the mixture, and the final mixture has Mango juice amounting to 75% of the Lemon in the final mixture.

ATQ, Let quantity of Leomon and Mango juice in the original mixture is 9p ml and 5p ml respectively. Statement I: Quantity of Leomon in 392 ml of mixture = 9/14 × 392 = 252 ml Quantity of Mango juice in 392 ml of mixture = 392 – 252 = 140 ml According to question; 9p – 252 + a – 80 = 5p – 140 + a Or, 4p = 192 Or, p = 48 Quantity of original mixture = 48 × 14 = 672 ml So, data in statement I alone is sufficient to answer the question. Statement II: Quantity of Leomon in 280 ml of mixture = 9/14 × 280 = 180 ml Quantity of Mango juice in 280 ml of mixture = 280 – 180 = 100 ml According to question; (5p - 100 + a) = 0.75 × (9p - 180) Since, we cannot find the value of ‘a’ and ‘p’. So, data in statement II alone is not sufficient to answer the question.