Question
The average weight of 6 people is 80 kg. When two new
people with their weights in the ratio 2:3 joined the group, the average weight of all the people remains the same. Find the difference between the weights of the two new people who joined the group.Solution
ATQ, Sum of the weight of 6 people = 80 × 6 = 480 kg Sum of the weights of all the people including the ones who joined later = 80 × 8 = 640 kg Total weight of two new people = 640 - 480 = 160 kg Let the weight of two new people who joined the group be '2w' kg and '3w' kg, respectively. 2w + 3w = 160 Or, 'w' = (160/5) = 32 So, required difference = 3w - 2w = w = 32 kg
Samir distributed 625 gifts among 4 children. The first part of the child is twice the portion of the other child, three times the size of the third chi...
"Pawan distributed a sum of money among 'A', 'B', and C' in the ratio of 8:11:15. Sixty percent of A’s share is 288 less than f...
<p><p>Sides of a parallelogram are in the ratio 6:5. Its area is 2700 sq. units. Altitude on the greater side is 30 units. Altitude ...
The incomes of Priya and Ritu in the current month are in the ratio of 8:7. The ratio of Priya’s income in the previous month to the current month is ...
Rohit, Manish, Suresh, and Arjun were playing a football match. The ratio of goals scored by Rohit and Manish was 6:9 respectively, while that between M...
A piggy bank has 25-paise, 1-rupee and 2-rupee coins in the ratio 40:30:20. If the total value is Rs. 4000, how many ₹1 coins are there?
Two vessels contain mixtures of milk and water in the ratio 7:3 and 5:4, respectively. Equal quantities from both vessels are mixed to form a new mixtur...
Four numbers A, B, C and D are such that the ratio of A:B is 4:7 and ratio of B:C is 3:5. If the sum of A and D is 100 and sum of C and D is 146, then f...
- 720 sweets are divided among four kids in the ratio (1/5):(1/6):5:9. The second highest recipient got how many more sweets than the lowest recipient?
A boy is supposed to distribute Rs.2400 among his three friends P, Q and R in the ratio of 5:3:4 respectively, but mistakenly he distributed in the rati...
Relevant for Exams:
