In a class of 80 students the girls and the boys are in the ratio of 3:5. The students can speak only hindi or only english or both hindi and english. The number of boys and the number of girls who can speak only hindi is equal and each of them is 40% of the total number of girls. 10% of the girls can speak both the languages and 58% of the boys can speak only english.
Answers
Given : 80 students the girls and the boys are in the ratio of 3:5
The number of boys and the number of girls who can speak only hindi is equal and each of them is 40% of the total number of girls. 10% of the girls can speak both the languages and 58% of the boys can speak only english.
To find : How many girls can speak only English
how many boys can speak Hindi
percentage of all the students (boys and girls together) can speak only Hindi?
students (boys and girls together) can speak both the languages
How many boys can speak either only Hindi or only English
Solution:
80 students
girls and the boys are in the ratio of 3:5
=> Girls = 30
& Boys = 50
The number of boys and the number of girls who can speak only hindi
= (40/100) 30 = 12
percentage of all the students (boys and girls together) can speak only Hindi =100 * (12 + 12)/80 = 30 %
10% of the girls can speak both the languages = (10/100) * 30 = 3
Girls can speak hindi = 12 + 3 = 15
Girls can speak English = 30 - 12 = 18
Girls can speak English only = 18 - 3 = 15
58% of the boys can speak only english. = (58/100) 50 = 29
Boys only English = 29
Boys only Hindi = 12
Boys both = 50 - (29 + 12) = 9
Boys English = 29 + 9 = 38
Boys Hindi = 12 + 9 = 21
students (boys and girls together) can speak both the languages = 3 + 9 = 12
boys can speak either only Hindi or only English = 12 + 29 = 41
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