Question

In an examination, there were 2000 candidates out of which 900 candidates were boys and the rest were girls. If 32% of the boys and 38% of girls failed, then find the total percentage of passed candidates​

Answer 1

Answer:

64.7 %

Step-by-step explanation:

Total no. of candidates = 2000

No. of boys = 900

No. of girls = 2000-900 = 1100

Failed candidates = ( 38% of 1100 ) + ( 32% of 900)  = 418 + 288 = 706

Passed candidates = 2000-706 = 1294.

Passed candidates % = 1294/2000*100 = 64.7%

Answer 2

Given:

In an examination, there were 2000 candidates.

In which 900 candidates were boys and the rest were girls.

32% of the boys and 38% of girls failed.

To find:

The total percentage of passed candidates​.

Solution:

Step 1 of 2:

Total number of candidates = 2000

Number of boys = 900  

Number of girls = 2000-900

Number of girls = 1100  

32% of the boys and 38% of girls failed.

Failed candidates = 38% of 1100  +  32% of 900  

Failed candidates = $\frac{38}{100}$ × 1100 + $\frac{32}{100}$ × 900

Failed candidates =  418 + 288

Failed candidates = 706  

Step 2 of 2:

Passed candidates = 2000-706

Passed candidates = 1294.

Percentage of passed candidates = $\frac{1294}{2000}$ × 100

Percentage of passed candidates = $\frac{1294}{20}$

Percentage of passed candidates = 64.7 %

Final answer:

The total percentage of passed candidates​ is 64.7 %