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In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After a few days, 30 girls joined the school but a few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is
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- 76
- 74
- 84
- 86
Correct Option: A
In the school,
Boys ⇒ | × 1554 = 888 | |
7 |
Girls ⇒ | × 1554 = 666 | |
7 |
After 30 days,
Girls = 666 + 30 = 696
If x boys leave the school, then,
According to the question,
= | ||
696 | 6 |
⇒ | = 7 | |
116 |
⇒ 888 – x = 116 × 7 = 812
⇒ x = 888 – 812 = 76