# Profit and loss questions

Profit and loss, as you know, is an essential topic in quantitative ability-level problems. The formulas for cost price (CP) and selling price (SP), as well as the other questions involving profit and loss, must be thoroughly understood by applicants to succeed on competitive exams. Get free profit and loss aptitude questions and answers below to improve your problem-solving skills and get higher scores.

1. A student buys a pen for Rs 90 and sells it for Rs 100. Find his gain percent.

• Given that the cost price of pen = Rs 90
• Selling price of pen = Rs 100
• By using the formula,

Gain = selling price – cost price

= 100 – 90

= Rs 10

• By using the formula,

$\Rightarrow G \% \ = \frac{G}{C.P}\times 100$

$\Rightarrow \frac{10}{90} \times 100$

= $11\frac{1}{9}$%

• Therefore he accured a $11\frac{1}{9}$% Gain
1. A shopkeeper marks his sarees at 20% above the cost price and allows the purchaser a discount of 10% for cash buying. What profit per cent does he make?

Let the cost price of saree = 100.;

then Marked price = 120

:. Selling price = 120 – 10% of 120 = 120 -12 = 108.

So, profit = 8

:. Profit percent = 8%.

1. After getting two successive discounts Sachin got a jeans at Rs. 1428 whose marked price is Rs. 2000. If the second discount is 15% find the first discount.

Let the first discount be x%.

Then, 85% of (100 – x)% of 2000 = 1428

$\frac{85}{100} \times \frac{(100 – x)}{100} \times 2000 = 1428$

$\frac{85}{10} \times \frac{(100 – x)}{1} \times 2 = 1428$

$\frac{85}{5} \times \frac{(100 – x)}{1} \times 1 = 1428$

$\frac{17}{1} \times \frac{(100 – x)}{1} = 1428$

1700 - 17x = 1428

17x = 272

x = 16%

Hence, option C is correct.

1. The selling price of 11 books is equal to the cost price of 10 books. What is the loss percentage then?

Cost price = 11

Selling price = 10

Loss = 11-10 = 1

Loss perecntage = $\frac{LOSS}{CP}$x 100

$\frac{1}{11}$x 100 = 9 $\frac{1}{11}$

Another Method

Cost price = 11

Selling price = 10

Difference = 1

$\frac{1}{11}\times100$ = 9 $\frac{1}{11}$

1. The cost price of 20 articles is the same as the selling price of X articles. If the profit is 25%, find out the value of X?

CP of X articles = $20\times\frac{100}{125}$= 16