If the length of a rectangle is increased by | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the original length be $L$ and breadth be $B$. The original area is $A = L 	imes B$.New length $L' = L + 0.20L = 1.20L$.New breadth $B' = B -

Vedclass · Accepted Answer

$8\% 	ext{ increase}$

Vedclass · Answer

(D) Let the original length be $L$ and breadth be $B$. The original area is $A = L 	imes B$.New length $L' = L + 0.20L = 1.20L$.New breadth $B' = B - 0.10B = 0.90B$.New area $A' = L' 	imes B' = (1.20L) 	imes (0.90B) = 1.08 	imes (L 	imes B) = 1.08A$.Percentage change in area = $\frac{A' - A}{A} 	imes 100 = \frac{1.08A - A}{A} 	imes 100 = 0.08 	imes 100 = 8\%$.Alternatively,using the net percentage change formula $m + n + \frac{m 	imes n}{100}$:Impact on area = $20 + (-10) + \frac{20 	imes (-10)}{100} = 10 - 2 = 8\% 	ext{ increase}$.

If the length of a rectangle is increased by $20\%$ and its breadth is decreased by $10\%$,what will be the impact on its area?

Similar Questions

$0.15 \%$ of $33 \frac{1}{3} \%$ of $₹ 10000$ is

If the length and breadth of a rectangular field are increased,the area increases by $50 \%$. If the length is increased by $20 \%$,by what percentage was the breadth increased?

Half of $1$ per cent written as a decimal is

$4598$ is $95 \%$ of what number?

$A$ man's annual income has increased by ₹ $5$ lakhs,but the tax on income that he has to pay has reduced from $12 \%$ to $10 \%$. He now pays ₹ $10,000$ more income tax. What is his initial income (in ₹ lakhs)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module