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# MTH302 First GDB (OPEN) ...due on 8 Dec,2016

Q1. The Salaries of Yasmeen and Adnan are in the ratio 1 : 2. If the salary of each is increased by Rs. 3000, the new ratio becomes 40 : 57. What is Adnan's present salary?

Q2. A man spends 2/7 of his income on food and 3/7on clothing. If he still saves Rs. 500, what is his total income?

Opening Date of Graded Discussion Board:

Tuesday, November 29, 2016

Closing Date of Graded Discussion Board:

Thursday, December 8, 2016 .

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### Replies to This Discussion

Solution 1
x:y::1:2
x:y=1:2
2x=y(1)
2x-y=0…………1
now
x+3000:y+3000::40:57
x+3000:y+3000=40:57
x+3000(57)=y+3000(40)
57x+3000(57)=40y+3000(40)
57x +171,000=40y +120,000
57x-40y=-51,000,,,,,,,,,,,,,,,,,,,,,2
40 will multiply on eq1
40(2x-y)=0(40)
-80x+40y=0,,,,,,,,,,,,,,,,,,,,,,,,3
57x-40y=-51,000
-80x+40y=0
-23x +0= -51000
-23x=-51000
x=(-51000)/(-23)
x=51000/23
x= 2217.4
putting the value of x=2217.4 into eq 1
2(2217.4)-y=0
4434.8-y=0
y=4434.8
so now we find the present salary of adnan
present salary of adnan = y+3000
put the value of y
so the salary of adnan is 7435

solution 2

solution 2
Let’s spouse that
Total income = x
Spends on food =2/7x
Spends on clothing =3/7x
So,
x = 2/7x +3/7x +500
x= 5/7x + 500
(7)x= (7)(5/7x + 500) ( 7 are multiply b/s)
7x= (7)(5/7x)+ 500(7)
7x=5x+3500
7x-5x=3500
2x=3500
x=3500/2
x = 1750
Hence the total income of the man is Rs.1750

thanx

What if I say Adnan's salary is 6000 and that of Yasmeen is 3000.
Now salary after 3000 increase 40 times and 57 times:-
40x3000 : 57x3000
120000 : 171000
So now salary of Adnan is Rs 6000 (simple)

No. its wrong. Mansoor Elahi. ur answer is not correct.

Let the salary of yasmeen =x -----------------Eq (1)
Let the salry of adnan =2x ----------------------Eq (2)
According to given Condtion
x+3000:2x+3000=40:57
(x+3000)/(2x+3000)=40/57
57(x+3000)=40(2x+3000)
57x+171000=80x+120000
171000-120000=80x-57x
51000=23x
51000/23=x
2217.4=x
For new salary of Adnan=Old salary+3000
For old salary of Adnan put value of "x " in Eq (2)=2(2217.4)

ye sahi h naaa

q2= 1750

q1= 7434

Solution
Let the original salaries of yasmeen and adnan be Rs. 1x and Rs. 2x respectively.
Then, 1x + 3000 = 40
2x + 3000 = 57
57(1x + 3000) = 40(2x + 3000)
57x+171000=80x+120000
57x-80x=120000-171000
-23x=-51000
X=-51000/-23
X=2217
So the present salalry of Adnan is =2x+3000
=2(2217)+3000
=4434+3000
=7434

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