In a class of 1000 students, the ratio of boys to girls is 3 : 2. It i

1.	In a class of 1000 students, the ratio of boys to girls is 3 : 2. It is known that 88% of the boys passed, and 93% of the girls passed. Find the total no. of students who failed in this examination.1). 722). 543). 1004). 28
Answer» Total no. of students = 1000 Ratio of boys to GIRLS = 3 : 2 ⇒ No. of boys = $(\FRAC{3}{5}\; \times \;1000 = 600)$ ⇒ No. of girls = 1000 - 600 = 400 It is KNOWN that 88% of the boys passed ⇒ No. of boys passed = $(\frac{{88}}{{100}}\;\times\;600=528)$ ⇒ No. of boys failed = Total no. of boys – No. of boys passed = 600 – 528 = 72 Similarly, it is known that 93% of the girls passed ⇒ No. of girls passed = $(\frac{{93}}{{100}}\; \times \;400 = 372)$ ⇒ No. of girls failed = Total no. of girls – No. of girls passed = 400 – 372 = 28 So, Total No. of students failed = No. of boys failed + No. of girls failed ∴ Total No. of students failed = 72 + 28 = 100

In a class of 1000 students, the ratio of boys to girls is 3 : 2. It is known that 88% of the boys passed, and 93% of the girls passed. Find the total no. of students who failed in this examination.1). 722). 543). 1004). 28

Answer»

Total no. of students = 1000

Ratio of boys to GIRLS = 3 : 2

⇒ No. of boys = $(\FRAC{3}{5}\; \times \;1000 = 600)$

⇒ No. of girls = 1000 - 600 = 400

It is KNOWN that 88% of the boys passed

⇒ No. of boys passed = $(\frac{{88}}{{100}}\;\times\;600=528)$

⇒ No. of boys failed = Total no. of boys – No. of boys passed = 600 – 528 = 72

Similarly, it is known that 93% of the girls passed

⇒ No. of girls passed = $(\frac{{93}}{{100}}\; \times \;400 = 372)$

⇒ No. of girls failed = Total no. of girls – No. of girls passed = 400 – 372 = 28

So, Total No. of students failed = No. of boys failed + No. of girls failed

∴ Total No. of students failed = 72 + 28 = 100