Aptitude - Percentage - Discussion

Discussion Forum : Percentage - General Questions (Q.No. 12)
12.
Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Rs. 200
Rs. 250
Rs. 300
None of these
Answer: Option
Explanation:

Let the sum paid to Y per week be Rs. z.

Then, z + 120% of z = 550.

z + 120 z = 550
100

11 z = 550
5

z = 550 x 5   = 250.
11

Discussion:
78 comments Page 6 of 8.

Sakthi kumar said:   9 years ago
I need explanation logically, can anyone know?

Pooja gupta said:   1 decade ago
x+y = 550.....(1).

x = 120% of y,

x = 120/100*y = >6/5*y,

Put he value in eq(1)we get,

6/5*y+y = 550,

(6y+5y)/5 = 550,

11y = 550*5,

y = 2750/11,

y = 250.

Sarat said:   1 decade ago
From the problem.

Total is 550.

x is 120% more than y.

Then x+y is (100+120)%.

Then 220/100*y = 550.

550*100/220 = 250.

y = 250.

Anitha said:   1 decade ago
Thanks Ramesh.

Divya said:   1 decade ago
Thank you mini.

Mini said:   1 decade ago
Combined salary of X and Y is 550
:. X+Y=550
120% of Y+Y =550(as X is paid 120 percent of the sum paid to Y,
120/100Y+Y=550 so substitute X for 120%ofY)
12/10Y+Y=550
12Y+10Y=5500 (by taking l.c.m)
22Y=5500
Y=5500/22
Y=500/2
Y=250

Amrutha said:   1 decade ago
@Vinoth.

This type of problems can be easily solved in the method posted by ramesh here we have to assume that y=100 and calculate the problem.

Vinoth said:   1 decade ago
I didn't understand this sum how will come to y=100. Then how will come to 11/5 can you explain for me ?

Obama keeps selling creditsvia IMF said:   1 decade ago
Bravo ramesh!

Prabhakar Sudha said:   8 years ago
Let the payment made to y be re.k,

Then the payment made to x will be 120%of re.k =re.1.2k
Now total payment is (k+1.2k)=2.2k, which is equal to 550.
So, 2.2k=550,
or,k=250 answer.


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