Question

college P has 32% less students then college Q if 960 more students college P , the two college will have the same number of student what is the sum of the number of student in college p and college Q initially?
1) 5880
2)5040
3)8400
4)6720​

Answer 1

Answer:

5040

Step-by-step explanation:

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Answer 2

Answer:

The correct answer is option (2) = 5040

Step-by-step explanation:

Given data

College P has 32% less students then College Q

If P college have more 960 students then both colleges will have same number of students

here we need to find the number of students in college P and Q initially  

Let college Q have x number of students

⇒ then number of students in P = $x - \frac{32x}{100}$  

                                                     = $x - \frac{8x}{25}$    

                                                     = $\frac{25x - 8x}{25}$ = $\frac{17x}{25}$  

⇒ number of students in P = $\frac{17x}{25}$    

⇒ if P college has 960 more students then the number of students in P will equals to the number of students in Q college

⇒ $\frac{17x}{25} + 960$ = x  

⇒ [17x + 25(960) ]/ 25 = x

⇒ 17x + 24000 = 25x

⇒ 8x = 24000

⇒ x = 3000

⇒ the number of students in Q = 3000

⇒ the number of students in P = $\frac{17}{25} (3000)$  = 17(120) = 2040

⇒ the number of students in both colleges initially  =

           ⇒ number of students in P + number of students in Q

           ⇒ 2040 + 3000 = 5040

⇒ The number of students in both colleges = 5040

⇒ the correct answer is option (2) 5040