SSC GD 2024 PYQ — Question 58

The correct answer is option 1 i.e. 175.

⇒ 35%  of P = 60%  of  Q

⇒ Q = z / 3 % of  P

⇒ 35%  of  P = 35 / 100 ×  P = 7 / 20 × P

⇒ 60% of Q = 60 / 100 ×  Q = 3 / 5 × Q 

⇒$\frac{7}{20} \times P = \frac{3}{5} \times Q$

⇒ Q = $\frac{z}{3} \times \frac{1}{100} \times P = \frac{z}{300} \times P$

 

Q = $\frac{z}{300} \times P$

 

⇒ $\frac{7}{20} \times P = \frac{3}{5} \times \frac{z}{300} \times P$

⇒ $\frac{7}{20} = \frac{3z}{1500}$

⇒ $\frac{7}{20} = \frac{z}{500}$

 

⇒ 7 × 500 = 20 × z

⇒ 3500 = 20z

⇒ z = 3500 / 20 = 175