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