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Saturday, 11 August 2012

Arithmetic Problems

In a cricket match Sachin and Viru scored century (more than 100 runs) and Yuvi and Gauti scored half century. Gauti scored 76 runs and Yuvi scored 12 runs less than Gauti. Viru scored 102 runs. The sum of the scores of all the four players is 442. How many runs did Sachin score?

Solution:

Given all the players scored 442 runs.

Given Gauti scored 76 runs.

Given Yuvi scored 12 runs less than Gauti. Therefore score of Yuvi is
76-12=64.

Given Score of Viru is 102.

Therefore score of Sachin is 442-(76+64+102) = 200.

In a school there are 800 students. Out of whom 12 % are girls. Each boy’s monthly fee is ` 200/- and each girl’s monthly fee is 25% less than a boy. What is the total monthly fee of girls and boys together?

Solution:

Given the total number of students are 800.

Number of girls are 12% of 800

= 800 x 12  =96
100

Therefore number of boys = 800-96 = 704

Monthly fee of a boy is `220/-. Therefore monthly fee of girl =

220x75  = 165/-.
100
Therefore total monthly fee = 704 x 220 + 96 x 165

= 154880+ 15840

=170720