Question
The cost price of item ‘P’ is Rs. 30 more than that
of item ‘Q’. Items ‘Q’ and ‘P’ are sold at a profit of 25% and a loss of 20%, respectively. If the total profit after selling both items is Rs. 10, then find the average cost price of items ‘Q’ and ‘P’ together.Solution
ATQ,
Let the cost price of item ‘Q’ = Rs. ‘100y’ Then, cost price of item ‘P’ = Rs. ‘100y + 30’ Selling price of item ‘Q’ = 100y × 1.25 = Rs. ‘125y’ Selling price of item ‘P’ = (100y + 30) × 0.8 = Rs. ‘80y + 24’ So, overall profit = sum of selling prices – sum of cost prices = 125y + (80y + 24) – (100y + 100y + 30) = 205y + 24 – 200y – 30 = Rs. (5y – 6) So, 5y – 6 = 10 ⇒ 5y = 10 + 6 = 16 ⇒ y = 16 / 5 = 3.2 Average cost price of items ‘Q’ and ‘P’ together = (200y + 30) ÷ 2 = 100y + 15 = Rs. 100×3.2 + 15 = Rs.335
The average age of 12 boys in the group is 9 years. If 2 more boys join the group, the average is increased by 1 year. What is the average age (in years...
- The average age of (x + 2) students of a class is 14 years. If the 56 years old class teacher is also included then average age of the class gets increased...
A group of 35 people has an average age of 28 years. Later, 7 more people join the group and the average age becomes 25 years. What is the average age o...
If average of first 11 numbers is (n – 46) and the sum of remaining number is 1850. Find the value of ‘n’, if the average of 25 numbers is ‘n’...
Average weight of a team of 16 persons is 37 kg. When one more person joins the team, the average weight of the team increases by 4 kg. Find the weight ...
The average of 8 numbers is 5.95. The average of two of them is 5.4, while the average of the other two is 5.86. the average of the remaining four numbe...
- The average height of a group of 30 players was recorded as 168 cm. Later it was discovered that 172 was wrongly written as 182 and 160 was written as 150....
The average of the current ages of 'Anoop', 'Bhanu', and 'Rakesh' is 40 years. Their ages are in arithmetic progression (AP), wit...
Average of 8 numbers is 50. If average of first four and last two numbers is 60 and 70, respectively then find the fifth number given that ratio of fift...
The average of n numbers is 60. If each of 55% of the numbers is increased by 12 and each of the remaining numbers is decreased by 12, then the n...
Relevant for Exams:
