Question:
If the adjacent sides of a rectangle are increased by 35% and 20%, respectively, then by what percent will its area increase?
If the adjacent sides of a rectangle are increased by 35% and 20%, respectively, then by what percent will its area increase?
Show Hint
Successive percentage = \(a+b+\frac{ab}{100}\)
Updated On: Apr 21, 2026
- 70%
- 62%
- 55%
- 58%
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Assume original dimensions.
Let length = \(L\), breadth = \(B\). Original area = \(L \times B\). Step 2: Calculate new dimensions.
New length = \(L + 35% \text{ of } L = 1.35L\).
New breadth = \(B + 20% \text{ of } B = 1.20B\). Step 3: Calculate new area.
New area = \(1.35L \times 1.20B = (1.35 \times 1.20) LB = 1.62 LB\). Step 4: Find percentage increase.
Increase factor = \(1.62 - 1 = 0.62\).
Percentage increase = \(0.62 \times 100% = 62%\).
Let length = \(L\), breadth = \(B\). Original area = \(L \times B\). Step 2: Calculate new dimensions.
New length = \(L + 35% \text{ of } L = 1.35L\).
New breadth = \(B + 20% \text{ of } B = 1.20B\). Step 3: Calculate new area.
New area = \(1.35L \times 1.20B = (1.35 \times 1.20) LB = 1.62 LB\). Step 4: Find percentage increase.
Increase factor = \(1.62 - 1 = 0.62\).
Percentage increase = \(0.62 \times 100% = 62%\).
Was this answer helpful?
0
0
Top NCHMCT JEE Quantitative Aptitude Questions
- The area of a rectangle having sides in the ratio 1 : 4 is equal to the area of a square of side 8 cm. The perimeter of the rectangle (in cm) is:
- If the mean of the observations 6, 16, \( (K + 26) \), \( (2K - 3) \), and 10 is 14, then the value of \( \frac{K^2 + 1}{2} \) is:
- If the length of the diagonal and the area of a rectangle are 25 m and 168 m\(^2\), respectively, then the longer side of the rectangle is:
- A and B, working together, can do a work in 8 days. If A alone can do the work in 12 days, then in how many days can B alone do 25 percent of the work?
- The sum of all possible values of \( K \) such that a 5-digit number 90K68 is divisible by 8 will be:
View More Questions
Top NCHMCT JEE Percentages Questions
- In a clearance sale, goods were sold at a reduction of 20%. Sarika purchased a saree for ₹984 in the clearance sale. The usual price of the saree was:
- In an election between two candidates, one of them got 62% of the total votes polled and won by 432 votes. What is the total number of votes polled?
- If the difference between 58% and 76% of a number is 198, then the difference between 82% and 46% of the same number will be:
- The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?
- In an examination, 35% of total students failed only in Hindi, 45% failed only in English and 20% failed in both, then the percentage of students who passed in both the subjects is:
View More Questions
Top NCHMCT JEE Questions
- You find a person entering your restaurant in a wheelchair, you will:
- As a manager, you notice there has been repeated customer complaints against the smell of the carpet in a particular room, you will:
- Discipline, hard work, and dedication are the essential requirements to be a successful hotel operator. Upon getting this information, you would:
- As a teacher, you have been asked to select a team for Annual Day Celebration. You would select students:
- You are working in a hotel, a fire breaks out. You would:
View More Questions