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Lesson 4 of 8 · Paragraph data caselet

Ratio

DI: Caselets · for IPMAT Indore, IPMAT Rohtak and JIPMAT

Worked examples

Example 3Easy

In June a shop sold 5920 pens and pencils, in the ratio pencils : pens = 81 : 67. In July the difference between pencils and pens was 1500, with ratio 241 : 166. How many pens were sold in June and July together?

Example 2Easy

College A: 60% of the students are boys. East campus has 128 girls, which is 40% of all girls. 35% of the girls and 25% of the boys are in North. East has boys : girls = 9 : 8. How many boys are in West?

Formulas you need

part=total×aa+b(ratio a:b)\text{part} = \text{total} \times \frac{a}{a+b} \quad (\text{ratio } a:b)

with ratio a:b (a>b) and difference d: larger=d×aa−b\text{with ratio } a:b \ (a>b) \text{ and difference } d: \ \text{larger} = d \times \frac{a}{a-b}

Watch out

  • Reversed ratio: 15 : 13 and 13 : 15 are both in the options; check the order the question asks for.

Picked from the Paragraph data caselet note for this micro-concept automatically. The whole note: Paragraph data caselet.