Question
In 12 years, the ratio of the
ages of 'Arjuna' and 'Bheem' will be 8:7. Currently, the average of the ages of 'Arjuna' and 'Charu' is 30 years, and 'Bheem's present age is 25% greater than 'Charu's current age. What is the ratio of the current ages of 'Arjuna', 'Charu', and 'Bheem'?Solution
ATQ, Let ages of ‘Arjuna’ and ‘Bheem’, after 12 years will be ‘8x’ years and ‘7x’ years respectively. Let present age of ‘Charu’ is ‘z’ years. So, (8x – 12 + z) = 30 × 2 Or, z = 72 – 8x And, 7x – 12 = 1.25 × z = 1.25 × (72 – 8x) Or, 7x – 12 = 90 – 10x Or, 17x = 102 Or, x = 6 Present age of ‘Arjuna’ = 8 × 6 – 12 = 36 years Present age of ‘Bheem’ = 7 × 6 – 12 = 30 years Present age of ‘Charu’ = 72 – 8 × 6 = 24 years Desired ratio = 36:24:30 = 6:4:5
Two partners, X and Y, invested in a business in the ratio of 5:8. After 5 months, X increased his capital by 25%, and 2 months later, he increased it a...
- In class ‘X’, the number of girls is 75% of the number of boys. Class ‘Y’ has 15% less boys than class ‘X’ and 30% more total students than cla...
- There are 1000 students in a school. The boys to girls ratio is 4:6. If 7 out of every 10 boys pass, and 6 out of every 9 girls pass, find the total number...
In an exam, Neha scored 10 marks less than the passing marks while Rahul scored 25 marks more than the passing marks. If the rati...
- If m : n = 2 : 3, then calculate the ratio (4m + n) : (m + 4n)
- A college has 720 students with a boy to girl ratio of 2:1. If the ratio of boys who passed to failed is 5:1 and for girls it is 3:2, find the total number...
Ratio of P's age, 5 years hence and Q's age, 3 years ago was 15:17 respectively. 7 years ago, if the average age of 'P' and 'Q' was 40 years, then find ...
In a garden, the ratio of roses to tulips is 2:3. After planting 6 additional roses and 4 additional tulips, the ratio of roses to tulips changes to 3:4...
A factory manufactures three types of products: X, Y, and Z. The average production rates are 50 units per hour for product X, 80 units per hour for p...
Rs. 1575 was wrongly divided between ‘X’, ‘Y’, and ‘Z’ in the ratio of 3:4:8, respectively, instead of (1/3):(1/4):(1/8). Amount received by...