Lesson 4 of 8 · Paragraph data caselet
Ratio
DI: Caselets · for IPMAT Indore, IPMAT Rohtak and JIPMAT
Worked examples
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?
Solution: 6000. June pens = 5920 x 67/148 = 2680. July pens = 1500 x 166/(241 - 166) = 3320. Total = 6000.
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?
Solution: 216. Girls = 128/0.4 = 320, students = 800, boys = 480. North boys = 120; East boys = 128 x 9/8 = 144; West = 480 - 120 - 144 = 216.
Formulas you need
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.