Percentage 1

1. Three  times  a number  is 20%  more  than  twice  another  number   when  increased  by  105.  If  twice the first  number increased  by 36  is 20% less  than  three  times  of  the  second  number,  then  what  is  the  first  number?
(a) 150
(b) 162
(c) 180
(d) None of  these

Answer & Explanation


Answer:- 2
Explanation
Let  the  two  numbers  be  x  and  y.
3x  =  (120/100)( 2y +105)
3x   =  2.4y  +  126    …….Equation..(1)
2x + 36  =  (80/100)(3y)
2x + 36  =  2.4y         ……..Equation..(2)
x   =    162

2. Aman won a competition and so he got some prize money. He gave Rs. 2000 less than the half of prize money to his son and Rs. 1000 more than the two third of the remaining to his daughter. If both they got same amount, what is the prize money Aman got?
(a) 20000
(b) 25000
(c) 26000
(d) None of these

Answer & Explanation


Answer:- 3
Explanation
Lets Assume Aman got x rupees.
He gave x/2 – 2000 to his son.
And 2/3 ( x/2 + 2000 ) + 1000 to his daughter.
x/2 – 2000 = x/3 + 7000/3
x = 26000

 

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