There are $120$ students in a class. $45 %$ of the students like social studies while the rest of the class likes mathematics. Find the ratio of the number of students who like social studies to the number of students who like mathematics.

Open in App

Solution

Total number of students $= 120$
Students like social studies $= 45 % o f t o t a l s t u d e n t s$
$= 45 % o f t o t a l s t u d e n t s = \frac{45}{100} \times 120 = 9 \times 6 = 54$
Hence the number of students like social studies $= 54$
Students like mathematics $= 55 % o f t o t a l s t u d e n t s$
$= 55 % o f t o t a l s t u d e n t s = \frac{55}{100} \times 120 = 11 \times 6 = 66$
Hence the number of students like mathematics $= 66$
the ratio of the number of students who like social studies to the number of students who like mathematics $= \frac{54}{66} = \frac{9}{11}$
Hence the ratio of the number of students who like social studies to the number of students who like mathematics $= 9 : 11$

Suggest Corrections

Similar questions

In a class of $40$ students, $\frac{1}{5}$ of the total number of students who like to study English, $\frac{2}{5}$ of the total number like to study Mathematics and the remaining students like to study Science?

(I) How many students like to study English?

(ii) How many students like to study Mathematics?

(iii) What fraction of the total number of students like to study Science?

Q. In a class, each student likes either mathematics or science or both. The number of students who like mathematics and science are 248 and 200, respectively.
One-fourth of the students who like mathematics also like science. Find the total number of students in the class.

Q. In a class of

40

students

1 / 5

of the total number of students like to study English,

2 / 5

of the total number like to study Mathematics and the remaining students like to study Science. How many students like to study Mathematics .

Q. In a class of

40

students

1 / 5

of the total number of students like to study English,

2 / 5

of the total number like to study Mathematics and the remaining students like to study Science. What fraction of the total numbers of students like to study Science.

Q. In a class of 40 students

\frac{1}{5}

of the total number of students like to study english,

\frac{2}{5}

of the total number like to study mathematics and the remaining students like to study science. What fractions of the total number of students like to study science?

Join BYJU'S Learning Program

There are 120 students in a class. 45% of the students like social studies while the rest of the class likes mathematics. Find the ratio of the number of students who like social studies to the number of students who like mathematics.

There are $120$ students in a class. $45 %$ of the students like social studies while the rest of the class likes mathematics. Find the ratio of the number of students who like social studies to the number of students who like mathematics.