Aptitude - Area - Discussion

Discussion Forum : Area - General Questions (Q.No. 7)
7.
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
10%
10.08%
20%
28%
Answer: Option
Explanation:

Let original length = x and original breadth = y.

Decrease in area
= xy - 80 x x 90 y
100 100
= xy - 18 xy
25
= 7 xy.
25

Decrease % = 7 xy x 1 x 100 % = 28%.
25 xy

Discussion:
28 comments Page 1 of 3.

Niks said:   6 days ago
Let's assume l is 100 and b is 30. (b remains less than l).
So, area = l*b= 100*30=3000.
Now, 20% decrease in l is 20%of 100=20, and 10% decrease in b is 10%of 30=3
l = 100-20=80;
b = 30-3 = 27
Area= 80 * 27 = 2160.
% decrease = total-area decreased/total = 3000-2160/300*100 = 28%

Vinayak Nayak said:   6 months ago
Consider L = 10 and breadth = 10
Then 20% less in length = 8 and 10% in breadth = 9.
now area = l * b= 8 * 9 = 72,
total area = 100,
new area = 100-72=28.
(1)

Akil said:   3 years ago
It is simple.

L(0.80)*B(0.90).
= LB(0.72).

So, 100 - 72= 28% loss.
(14)

Kpkakadiya said:   3 years ago
Let L=10, B=10.
area = 10 * 10 = 100.

Now after bleached,
L = 80% of L
= 80% of 10,
= 8.

B= 90% of B,
= 90% of 10.
= 9.

Area = 8*9 = 72.

Decrease of area in % = (100 - 72 * 100)/100.
= 28.
(4)

D.Mukul Raj said:   4 years ago
According to me, the solution is;

Suppose initial size = 120(L) x 110(B) = 13200.
and,

The towel shrunk down to 100(L) x 100(B) =10000.
so difference should be 13200-10000= 3200.

And if I divide 3200 by 13200 why am i getting the decreased area to be ( 8/33 ) ie 24.24242%.

Am I right? Please anyone clarify.
(2)

Deepak virat said:   5 years ago
80*90/100 = 72.
As we see 28 is reduced so we can say that the percentage decrease is 28%.
(1)

OMARFARUK said:   5 years ago
Main formula +-p+-q+-(pq/100).

-20-10+(20* 10 / 100) = -28%.
(-ve) indicates area decrease.

Pinku said:   6 years ago
x=a*80/100
y=b*90/100

Area=x*y=80*a*90*b/100*100=72/100(a*b)
decreased area=total area(ab)-72ab/100
=ab-72ab/100
=100-72(ab/100)
=28/100(ab)
= 0 .28ab or 28ab%.

Decreased area by 28%.

Jatin said:   8 years ago
-20-10+20*10/100 = 28%.

Dhanraj said:   8 years ago
How 7/25 came there? Explain it.


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