Question
In a 60-liter mixture of petrol
and diesel, the ratio of petrol to diesel is given as p:1. When 8 liters of diesel is added to the mixture, the amount of diesel becomes  of the amount of petrol in the resulting mixture. Determine the value of p.Solution
ATQ, Let the initial quantity of diesel = ‘d’ L So, the initial quantity of petrol = (60 – d) L From the question: (d + 8) = (60 – d) × (125/300) 12d + 96 = 300 – 5d d = 12 The initial quantity of diesel = 12 L Quantity of petrol = 60 – 12 = 48 L So, value of p = 48/12 = 4
The average age of A, B, and C is 30 years. 5 years ago, the sum of the ages of A and B was 12 more than that of C. Find the present age of C.
In a classroom there are 14 boys and 11 girls. Average age of each boy and each girl is 21 years and 15 years respectively. The sum of ages of all the b...
9 years ago, the average age of a family of five persons was 50 years. In between these 9 years the family adopted a girl. Now at present the average ag...
A is younger than B by 2 years. If the ratio of A and B ages is 8:9 respectively, then find the age of A.
The joint average age of three siblings - Tara, Uday, and Vini - is 26 years. The ratio of Vini's to Waleed's current ages is 7:8, and Uday's age is 25%...
The average age of a group of 70 students is 14 years. If three students whose ages are 22 years, 20years, ________ years are replaced with th...
The current age of Lisa is three times that of Maya. 5 years from now, Lisa's age will be twice the age of Tom at that time. If Maya is 3 years younger ...
The current age ratio of Akash to karan is 7:9, and the current age ratio of karan to Chetna is 3:5. If the average of their present ages is 62 years, d...
A’s age is 180% of what he was 5 years ago, But 90% of what it will be after 5 years. What is his present age?
When 19 years is subtracted from the present age of A and the obtained result is divided by 5, then the present age of his nephew is obtained. If the pr...