Home
Class 14
MATHS
The students in three classes are in the...

The students in three classes are in the ratio of 2:3:4. If 40 students are added in each clas, the ratio becomes 4:5:6. Find the total number of students in all the three classes is :

A

270

B

180

C

126

D

135

Text Solution

Verified by Experts

2x + 4 = 4y ...(i)
3x + 40 = 5y ...(ii)
4x + 40 = 6y ...(iii)
Therefore 2x = 40 `implies x = 20`
Hence, total number of students = 2x + 3x + 4x = 9x
`9 xx 20 = 180
Alternatively It can be solved through options also.
Promotional Banner

Topper's Solved these Questions

  • PROFIT , LOSS AND DISCOUNT

    QUANTUM CAT|Exercise QUESTION BANK|205 Videos

  • SEQUENCE, SERIES & PROGRESSIONS

    QUANTUM CAT|Exercise QUESTION BANK|243 Videos

Similar Questions

Explore conceptually related problems

The students in three classes are in the ratio 2:3:5. If 40 students are increased in each class, the ratio changes to 4 : 5:7. Originally the total number of students was

The students in three classes are in the ratio 2:3:5. If 20 students are increased in each class, the ratio changes to 4:5:7. Originally the total number of students was :

The number of students in 3 classes are in the ratio 2:3:4. If 12 students are increased in each class, this ratio changes to 8:11:14. The total number of students in the three classes in the beginning was

The number of students in three classes are in the ratio 2 : 3:5. If 40 students are increased in each class, the ratio changes to 4:5:7. Originally, the total number of students was :

The ratio in the number of students in three classes is 3 : 4 : 5. If 20 students are increased in every class, then this ratio becomes 4 : 5 : 6. What was the original number of students in these classes taken together ? तीन कक्षाओं में विद्यार्थियों का अनुपात 3 : 4 : 5 है | यदि प्रत्येक कक्षा में 20 छात्र बढ़ा दिये जाते हैं तो अनुपात बदलकर 4 : 5: 6 हो जाता है| तीनों कक्षाओं को मिलाकर उनमें छात्रों की आरंभिक संख्या कितनी है ?