Study the given pie-chart and answer the question that follows.
The pie-chart represents the percentage distribution of candidates qualified in a bank examination from six different districts of a State in 2016. The total number of qualified candidates from the State is 68000.
If 22% and 20% of the qualified students from Districts B and C. respectively. were 22 years old or below. then the number of qualified students who were above 22 years from District B is what percent(to the nearest integer) of the number of qualified students who were above 22 years from District C?
Answer & explanation
Correct answer: option 4
Total number of candidates = 68000
Number of candidates in district B = \(\frac{25 }{100}\) × 68000
= \(\frac{1 }{4}\) × 68000
= 17000
In state B , 22% students qualified are of 22years and below from B .
Number of students qualified of 22years and above from B = \(\frac{100-22 }{100}\) × 17000
= \(\frac{78 }{100}\) × 17000
= 13260
Number of candidates in district C = \(\frac{28 }{100}\) × 68000
= \(\frac{7}{25}\) × 68000
= 19040
In state C , 20% students qualified are of 22years and below from C .
Number of students qualified of 22years and above from C = \(\frac{100-20 }{100}\) × 19040
= \(\frac{4 }{5}\) × 19040
= 15232
Required percentage = \(\frac{13260 }{15232}\) × 100
= 87.05%
= 87% ( approx )