A. 15
B. 16
C. 18
D. 20
View Solution
The correct answer is 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.
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.
