Question
A mixture (milk + water + honey) contains ‘12m’
litres milk, ‘18n’ litres water and 42 litres more honey than water. If 25% of the mixture was replaced with 6 litres of milk, then the quantity of water in the resultant mixture becomes 10% less than that of milk. Instead, if 25% of the mixture is replaced with 72 litres of honey, then the ratio of the quantity of milk to that of honey will become 1:2. Find the initial quantity of water in the mixture.Solution
According to the question, If 25% of the mixture was replaced with 6 litres of milk, then the quantity of milk in the resultant mixture = 12m × 0.75 + 6 = (9m + 6) litres. If 25% of the mixture was replaced with 6 litres of milk, then the quantity of water in the resultant mixture = 18n × 0.75 = ‘13.5n’ litres. ATQ; (9m + 6) × 0.90 = 13.5n Or, 9m + 6 = 13.5n ÷ 0.9 = 15n So, 9m = (15n – 6) – [equation I] If 25% of the mixture was replaced with 72 litres of honey, then the quantity of milk in the resultant mixture = 12m × 0.75 = ‘9m’ litres. If 25% of the mixture was replaced with 72 litres of honey, then the quantity of honey in the resultant mixture = (18n + 42) × 0.75 + 72 = 13.5n + 31.5 + 72 = (13.5n + 103.5) litres. So, 9m:(13.5n + 103.5) = 1:2 Or, 18m = 13.5n + 103.5 – [equation II] Multiplying equation (I) by ‘2’, we have: 18m = (30n – 12) So, (30n – 12) = (13.5n + 103.5) [from equation 2] Or, 16.5n = 115.5 So, n = 115.5 ÷ 16.5 = 7 Therefore, the initial quantity of water in the mixture = 18 × 7 = 126 litres.
Going forward, SAARC could adopt(A) the "ASEAN minus X" formula - members who are unwilling to join the date (B) can be allowed to jo...
In the question given below, four words are given in bold. These four words may or may not be in their correct position. The sentence is then followed...
In the question below, two sentences are given, each with four words highlighted in bold and alphabetized. From the options, choose the word from the fi...
In each of the following question, a sentence is given with four words marked as (A), (B), (C) and (D). These words may or maybe not placed at their co...
In the following questions, a few words have been highlighted which may or may not require improvement. Interchange the highlighted words using the giv...
The Games were managed (A) under pull off (B) scrutiny and amid constant pressure from locals, but the organisers held (C) to intense (D) a clean show.<...
Direction : In each of the following questions a grammatically correct and meaningful sentence is given with four words given in bold in each. Which of...
In the given question, four words are printed in bold and numbered A, B, C, and D. The positions of some highlighted words may be incorrect and need to...
In the question below, two sentences are given and each of them consists of two words highlighted in bold. The words may be incorrectly placed and need...
In the following sentences four words are given in bold. They may or may not be in the correct position in the sentence. You have to find out which two...
