Rs 250 is divided equally among a certain number of children. If there were 25 more children, each would have received 50 paise less. Find the number of children?

Question

Answer

Answer

100

Answer

Given:
- Rs 250 is divided equally among a certain number of children.
- If there were 25 more children, each would have received 50 paise less.

To find:
- The number of children.

Let's assume:
- The number of children initially is 'x'.
- Each child initially receives 'y' amount of money.

Calculating the initial amount received by each child:
- Since Rs 250 is divided equally among 'x' children, the amount received by each child initially can be calculated as:
y = 250 / x

Calculating the new amount received by each child if there were 25 more children:
- If there were 25 more children, the total number of children would be 'x + 25'.
- The amount received by each child in this scenario would be 'y - 50 paise'.
- The new amount received by each child can be calculated as:
y - 50 paise = 250 / (x + 25)

Equating the two expressions for the amount received by each child:
- Equating the initial amount received by each child (y) with the new amount received by each child (y - 50 paise), we get:
y = y - 50 paise
250 / x = 250 / (x + 25)

Solving the equation:
- Cross-multiplying the equation, we get:
250 * (x + 25) = 250 * x
250x + 6250 = 250x

- Simplifying the equation, we find:
6250 = 0

Conclusion:
- The equation 6250 = 0 has no solution.
- This means that the given problem has no valid solution.
- There is no value of 'x' that satisfies the given conditions.
- Therefore, it is not possible to determine the number of children in this scenario.

Similar Class 10 Doubts

6500 were divided equally among a certain number of persons. If there had been 15 more persons, each would have got 30 less. Find the original number of persons.

A sum of Rs 27000 was divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs 480 less. The number of persons, initially, was

A teacher wanted to distribute 900 chocolates among the students of the class. Each boy received 12 chocolates and each girl received 6 chocolates. If each girl receives 10 chocolates, then each boy would have been received 5 chocolates. Find the number of students of the class.?

15620 8 and 260 students in group A B C respectively buses are you be hired to take them to 8 the certain near call me where people use to throw garbage there be students decided to develop a pond there (

Top Courses for Class 10View all

Science Class 10

Social Studies (SST) Class 10

Mathematics (Maths) Class 10

English Grammar Advanced

English Grammar Basic

Top Courses for Class 10

Top Courses for Class 10

Suggested Free Tests

Related Content

About Class 10

Class 10 Study Material

Class 10 All Subjects

NCERT Textbook Solutions

Other Classes

Important Links

Company