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 2 of 3.

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.

Islam Ansari said:   9 years ago
xy - 18/25xy.
= 7/25xy.

How?

Sam said:   9 years ago
x + y - (x * y/100).

Then, 20% + 10% - [20 * 10/100].
30% - 2% = 28%.

Kunal said:   1 decade ago
It can also solve by percentage rule.

Suppose a towel area is 100 decreases by 20% and then 10%.
The are of towel= 100 of 20%=20 (say a).

Then, 80 of 10%=8 (say b).
Towels area=a+b.

20+8 = 28% answer.

Harsha said:   1 decade ago
A1 = 100*100 = 10000 (ORIGINAL AREA).

A2 = 80*90 = 7200 (DECREASED IN AREA).

A2-A1 = 2800.

(A2-A1)% = 28%.

Samuel said:   1 decade ago
It can also be solved as thus. Reduction in length = 100 - 20 = 80% which is 80/100.

Reduction in width= 100 - 10 = 90%.

Which is 90/100.

80/100* 90/100* 100 = 72.

100 - 72 = 28%.

Manish said:   1 decade ago
Towel is like rectangle, so area of rectangle is (l*b).

Let l=100, and b =50, so area =l*b =1500.

In question 20% decrease in length and and 10% decrease in breadth.

So new length is 80 and new breadth is 45, so new area =80*45 = 3600.

% decrease in area is (A1-A2) /A1*100 = 28%.

Sania said:   1 decade ago
But shouldn't the area of a towel be (l+b).


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