A. 15

B. 16

C. 18

D. 20

### View Solution

The correct answer is

We have 3 elements here cost price (CP), selling price (SP), and profit percentage (Profit%).

So the

Profit = SP-CP (for loss its CP-SP)

Profit% =\frac{\text { (selling price – cost price) }}{\text { cost price }} \times 100

Since we don’t know the cost of the article it is ok to assume a value initially.

Let the Cost Price of each article = 1 unit.

Cost Price of 20 articles = 20 units

Selling Price of x articles=CP of 20 articles ⇒ 20 units

Selling Price of 1 article = 20/x

using formula Profit% for 1 article as profit% is a constant for each article.

Profit% =\frac{\text { (selling price – cost price) }}{\text { cost price }} \times 100

25 =\frac{\text { (20-x) }}{\text { x }} \times 100

\frac{25x}{100}\ =\ 20\ -x

\frac{x}{4}\ =\ 20\ -x

x\ =\ 4\left(20\ -x\right)

x\ =\ 80\ -4x

5x\ =\ 80

x\ =\ \frac{80}{5}

x=16

**x=16 units**.**Step by Step Solution**

We have 3 elements here cost price (CP), selling price (SP), and profit percentage (Profit%).

So the

**equations**relating them are:Profit = SP-CP (for loss its CP-SP)

Profit% =\frac{\text { (selling price – cost price) }}{\text { cost price }} \times 100

Since we don’t know the cost of the article it is ok to assume a value initially.

Let the Cost Price of each article = 1 unit.

Cost Price of 20 articles = 20 units

Selling Price of x articles=CP of 20 articles ⇒ 20 units

Selling Price of 1 article = 20/x

using formula Profit% for 1 article as profit% is a constant for each article.

Profit% =\frac{\text { (selling price – cost price) }}{\text { cost price }} \times 100

25 =\frac{\text { (20-x) }}{\text { x }} \times 100

\frac{25x}{100}\ =\ 20\ -x

\frac{x}{4}\ =\ 20\ -x

x\ =\ 4\left(20\ -x\right)

x\ =\ 80\ -4x

5x\ =\ 80

x\ =\ \frac{80}{5}

x=16

**The value of X is 16 units.**### Related:

- The percentage profit earned by selling an article for Rs.…
- Some articles were bought at 6 articles for Rs. 5 and sold…
- A shopkeeper sells one transistor for Rs. 840 at a gain of…
- A man buys a cycle for Rs. 1400 and sells it at a loss of…
- Sam purchased 20 dozen toys at the rate of Rs. 375 per…
- On selling 17 balls at Rs. 720, there is a loss equal to the…
- A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of…
- In a certain store, the profit is 320% of the cost. If the…
- 100 oranges are bought at the rate of Rs. 350 and sold at…
- A shopkeeper expects a gain of 22.5% on his cost price. If…
- If the selling price is doubled, the profit triples. Find…
- When a plot is sold for Rs. 18700, the owner loses 15%. At…
- A vendor bought toffees at 6 for a rupee. How many for a…
- Robert buys an old scooter for Rs. 4700 and spends Rs. 800…