Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Three prizes are to be distributed in a quiz contest. The value of the second prize is five-sixths the value of the first prize and the value of the third prize is four-fifths that of the second prize. If the total value of three prizes is $ \mathrm{Rs}. 150 $, find the value of each prize.
Given:
Three prizes are to be distributed in a quiz contest.
The value of the second prize is five-sixths the value of the first prize and the value of the third prize is four-fifths that of the second prize.
The total value of three prizes is \( \mathrm{Rs}. 150 \).
To do:
We have to find the value of each prize.
Solution:
Total value of the three prizes $= Rs.\ 150$
Let the value of the first prize be $x$.
This implies,
The value of second prize $= \frac{5}{6}x$
The value of third prize $= \frac{4}{5} \times \frac{5}{6}x$
$= \frac{2}{3}x$
Therefore,
$x + \frac{5}{6}x + \frac{2}{3}x = 150$
$\frac{6x + 5x + 4x}{6} = 150$ [LCM of 1, 6 and 3 is 6]
$\frac{15x}{6} = 150$
$15 x = 150 \times 6$
$15x = 900$
$x = \frac{900}{15}$
$x = 60$
Hence,
The value of first prize $= x = Rs.\ 60$
The value of second prize $= \frac{5x}{6} = \frac{5 \times 60}{6}$
$= 5\times 10$
$= Rs.\ 50$
The value of third prize $= \frac{2x}{3} =\frac{2 \times 60}{3}$
$= 2 \times 20$
$= Rs.\ 40$
104 Views
