An apple seller sells to the first customer half of the total number of apples that he has and one-half of an appl To the second customer he sells half of the remaining stock and one-half of an appl The same thing continues with the third and the fourth customers. He then finds that he is left with 15 apples. How many apples did he have initially?
- 250
- 255
- 260
- 200
- 190
The Correct Option is A
Solution and Explanation
Top Questions on Profit and Loss
- An iron beam made with rare materials has its market price dependent on the square of its length. The beam broke into two pieces in the ratio of 4 : 9. If it is sold as two separate pieces, what would be the percentage profit or loss compared to its original value?
- Ankit and Raju decided to start a business and they invested Rs. 5500 and Rs. 6500 respectively. After 11 months, the difference between their profits is Rs. 680. Find the total profit.
- CUET (UG) - 2024
- General Aptitude
- Profit and Loss
- A certain sum becomes 2356 in 3 years and 2660 in 5 years on simple interest. What is the value of the sum?
- CUET (UG) - 2024
- General Aptitude
- Profit and Loss
- An item is sold for 504 after allowing a 20% discount. If the shopkeeper gains 5%, then the cost price of the item is:
- CUET (UG) - 2024
- General Aptitude
- Profit and Loss
A furniture trader deals in tables and chairs. He has Rs. 75,000 to invest and a space to store at most 60 items. A table costs him Rs. 1,500 and a chair costs him Rs. 1,000. The trader earns a profit of Rs. 400 and Rs. 250 on a table and chair, respectively. Assuming that he can sell all the items that he can buy, which of the following is/are true for the above problem:
(A) Let the trader buy \( x \) tables and \( y \) chairs. Let \( Z \) denote the total profit. Thus, the mathematical formulation of the given problem is:
\[ Z = 400x + 250y, \]
subject to constraints:
\[ x + y \leq 60, \quad 3x + 2y \leq 150, \quad x \geq 0, \quad y \geq 0. \]
(B) The corner points of the feasible region are (0, 0), (50, 0), (30, 30), and (0, 60).
(C) Maximum profit is Rs. 19,500 when trader purchases 60 chairs only.
(D) Maximum profit is Rs. 20,000 when trader purchases 50 tables only.
Choose the correct answer from the options given below:
- CUET (UG) - 2024
- Mathematics
- Profit and Loss
Questions Asked in IBSAT exam
- Lumber : Bear :: Waddle :
Directions: In the question, the first two words are related in a particular manner. You have to choose a word from the options so that a new pair of words is formed where the relation is the same as that of the first pair of words. You are required to consider the secondary meaning of certain words while choosing an answer.- IBSAT
- Analogy
- A boy has some coins with some value on them. He arranges the coins in the form of a star as shown below such that the sums of the numbers in the four circles along any line segment of the star are all equal. What is the sum of the missing numbers?
- IBSAT
- Logical and Analytical Reasoning Skills
- Directions: Fill in the blanks with the words that best fit the meaning of the sentence as a whole.
If a nation is unable to come to ______ on interpreting its own past, it will be unable to ______ its national interests.- IBSAT
- Fill in the Blanks
- The functions f(x) and g(x) are related as f(g(x)) = xg(f(f(x))), where f (x) = \(\frac{x}{x-1}\). What could be the functional form g(x)?
- IBSAT
- Functions
- If p, q, r and s are four positive integers such that pqrs = 1, what is the minimum value of (2 + p)(3 + q)(4 + r)(5 + s)?
- IBSAT
- Quadratic Equation