List of top Mathematics Questions on Profit and Loss

The ratio of alcohol to water in two containers, A and B, is 5:3 and 1:3, respectively, with both containers having infinite capacity. Suppose that the aim is to obtain 2.1 litres of liquid, which is composed of equal quantities of alcohol and water. How much liquid should be drawn from A (in litres)?

Rajan invests an amount of INR 15,860 in the names of his three sons Rohan, Sohan and Mohan in such a way that they get the same amount after two, three and four years respectively. If the rate of simple interest is 5% then the ratio of amounts invested among Rohan, Sohan and Mohan will be

Suppose the price of liquefied petroleum gas (LPG) increases by 16%, by how much percentage should the consumption of LPG be reduced by the household in order to keep the expenditure on LPG at the same level? (Rounded to two decimals)

The price of LPG increases by \(16\%\). By what percentage should consumption be reduced so that the total expenditure remains the same?

The difference between Compound Interest (compounded annually) and Simple Interest on a certain sum of money at \(10\%\) per annum for \(3\) years is ₹155. Find the principal sum.

A dishonest dealer claims to sell his goods at a loss of \(10\%\) on cost price but uses a false weight of \(800\) g instead of \(1\) kg. Find his actual profit or loss percentage.

The price of a laptop is first increased by \(x\%\), then decreased by \(x\%\). The new price becomes \(\frac{7}{16}\) of the original price. Find the value of \(x\).

A shopkeeper earns 20% profit on an article whose cost price is Rs 800. Find the selling price.

A company produces 'x' units of geometry boxes in a day. If the raw material of one geometry box costs ₹2 more than the square of the number of boxes produced in a day, the cost of transportation is half the number of boxes produced in a day, and the cost incurred on storage is ₹150 per day. The marginal cost (in ₹) when 70 geometry boxes are produced in a day is:

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:

By selling on book for 250, loss percentage is 10%. What is the cost price?

January 11, 1997 was a Sunday. What day of the week was on January 7, 2000?

A shopkeeper sold \(\frac23\) of his stock of rice at a profit of \( 5\%\) and the remaining stock at a loss of \(2\%\). If his total profit was \( ₹\)\( 1000\), then the cost price of the whole stock of rice is:

The C.P. of two shirts taken together is ₹910. If by selling one at a profit of 16% and and the other at a loss of 12%, there is no loss or gain in the whole transaction, then the C.P. of the two shirts are respectively:

A trader sold half of his articles at 60% profit, half of the remaining at 20% loss and the rest was sold at the cost price. In total transaction his gain % or loss % will be: