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DIRECTIONS: Choose the most appropriate answer:
Q. A towel was 50 cm broad and 100 cm long. When bleached , it was found to have lost 20% of its length and 10% of its breadth. Find the percentage of decrease in area ?
  • a)
    32%
  • b)
    28%
  • c)
    33%
  • d)
    24%.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
DIRECTIONS: Choose the most appropriate answer:Q. A towel was 50 cm br...
Area of towel = l×b =100 cm × 50cm =  5000 cm2 Now, length decreased by 20% and breadth decreased by 10%
l = 100 – 20% of  100 = 80cm
b = 50 – 10% of 50 = 45cm
New area = l × b = 80cm × 45cm = 3600cm2
Change in area = (5000 – 3600) cm2  = 1400 cm2
% change in area 
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Most Upvoted Answer
DIRECTIONS: Choose the most appropriate answer:Q. A towel was 50 cm br...
Given:
- Initial breadth of the towel = 50 cm
- Initial length of the towel = 100 cm
- Percentage of length lost = 20%
- Percentage of breadth lost = 10%

To Find:
- Percentage decrease in area

Solution:
Step 1: Calculate the final length and breadth after the loss of percentages.

- Loss in length = 20% of 100 cm = 20 cm
- Final length = Initial length - Loss in length = 100 cm - 20 cm = 80 cm

- Loss in breadth = 10% of 50 cm = 5 cm
- Final breadth = Initial breadth - Loss in breadth = 50 cm - 5 cm = 45 cm

Step 2: Calculate the initial area and final area.

- Initial area = Initial length x Initial breadth = 100 cm x 50 cm = 5000 cm^2
- Final area = Final length x Final breadth = 80 cm x 45 cm = 3600 cm^2

Step 3: Calculate the percentage decrease in area.

- Decrease in area = Initial area - Final area = 5000 cm^2 - 3600 cm^2 = 1400 cm^2

- Percentage decrease in area = (Decrease in area / Initial area) x 100
= (1400 cm^2 / 5000 cm^2) x 100
= 28%

Answer:
Therefore, the percentage decrease in area is 28% (Option B).
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DIRECTIONS: Choose the most appropriate answer:Q. A towel was 50 cm broad and 100 cm long. When bleached , it was found to have lost 20% of its length and 10% of its breadth. Find the percentage of decrease in area ?a)32%b)28%c)33%d)24%.Correct answer is option 'B'. Can you explain this answer?
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