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A shop sells kites and thread spools in the ratio 11 : 4. Last Sankranti it sold 88 kites. How many thread spools did it sell?

Class 6Ratio and ProportionRatio and Proportion
  • A32
  • B22
  • C44
  • D352

Step-by-Step Solution

88 = , so the scale factor is 8 and the spools are . Dividing 88 by 4 gives 22, which wrongly treats the spool term as the scale factor; multiplying 88 by 4 gives 352, which scales the kites again; 44 is just half of 88.
Answer: A) 32

Key idea: Equivalent ratios and simplest form

Just like equivalent fractions: multiply or divide both parts of a ratio by the same non-zero number to get an equivalent ratio. 2 : 3 = 4 : 6 = 6 : 9 = 20 : 30. The **simplest form** is when the two parts share no common factor other than 1. So 20 : 30 simplifies (divide both by 10) to 2 : 3.

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