Question : The ratio of boys and girls in a college is 5 : 3. If 50 boys leave the college and 50 girls join the college, the ratio becomes 9 : 7. The number of boys in the college is:
Option 1: 300
Option 2: 400
Option 3: 500
Option 4: 600
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 500
Solution : Boys : Girls = 5 : 3 Let the number of boys be $5x$ and the number of girls be $3x$. According to the question, If 50 boys leave and 50 girls join, the ratio becomes 9 : 7. So, $\frac{5x-50}{3x+50} = \frac{9}{7}$ ⇒ $7(5x - 50)=9(3x+50)$ ⇒ $35x - 350 = 27x+450$ ⇒ $35x-27x = 450+350$ ⇒ $8x = 800$ ⇒ $x=100$ $\therefore$ The number of boys is 5$x$ = 5 × 100 = 500 Hence, the correct answer is 500.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?
Question : If $A:B=7:9$ and $B:C =3:5$, then $A:B:C$ is equal to:
Question : The intensity ratio of waves is 25:9. What is the ratio of their amplitudes?
Question : A, B, and C received an amount of Rs. 8400 and distributed it among themselves in the ratio 6 : 8 : 7, respectively. If they save in the ratio of 3 : 2 : 4, respectively, and B saves Rs. 400, then what is the ratio of the expenditures of A, B, and C respectively?
Question : After allowing a 15% discount, the selling price of the radio becomes Rs. 255. The marked price is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile