The length of a rectangular increased by 10% and it;s breadth is decreased by 10 %. Then the area of the new rectangle is_________?
Correct answer: C. Decreased by 1%
- A. Neither increased nor decreased
- B. Increased by 1%
- C. Decreased by 1%
- D. Decreased by 10%
Explanation
Let the original area be L × B. After the changes, the new area is 110% of L × 90% of B, so it is 1.10 × 0.90 = 0.99 times the original area. The area is therefore 99% of its original value, a decrease of 1%. Students often choose a because they incorrectly cancel the 10% increase and decrease instead of multiplying the percentage factors.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Percentages
Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.
Practise Arithmetic
1,060 free Arithmetic MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Mathematics questions like this
Mathematics is on 76 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Percentages questions
If x % of 80 = 20% of y, then x = ? and y = ?
12.5 + 10 1/4 of 100 ÷ 10% of 10 = ____________?
16.66% of 33.33% of 66.66% of ? = 30
The radius of a circle is increased by 1%. Find how much % does its area increases?
The side of a square is increased by 25% then how much % does its area increases?
The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?