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The ratio of boys and girls in a school is 12 : 5. If the number of girls is 840, the total strength of the school is - Mathematics

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Question

The ratio of boys and girls in a school is 12 : 5. If the number of girls is 840, the total strength of the school is

Options

  • 1190

  • 2380

  • 2856

  • 2142

MCQ
Sum

Solution

2856
Ratio of boys and girls = 12:5
Let x be any number such that the number of boys and girls are 12x and 5x, respectively.
Number of girls = 840
5x = 840
 ⇒ x = `840/5` = 168
Number of boys = 12x= 12 × 168 = 2016
Number of girls = 840
Total strength of the school = 2016 + 840 = 2856

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Chapter 10: Ratio, Proportion and Unitary Method - Exercise 10D [Page 158]

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RS Aggarwal Mathematics [English] Class 6
Chapter 10 Ratio, Proportion and Unitary Method
Exercise 10D | Q 11 | Page 158

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