Quantitative Aptitude Ques 1253

Question: Directions: Study the following graph carefully to answer the given questions. [SBI (PO) 2014]

Number of Students Playing Carrom, Cricket and Hockey from Different Schools If the number of students playing each game in school S is increased by 15% and the number of students playing each game in school Q is decreased by 5%, what will be the difference between the number of students in school S and Q?

Options:

A) 54

B) 218

C) 366

D) 224

E) 206

Show Answer

Answer:

Correct Answer: E

Solution:

  • Total number, of students playing hockey in school $ S=160 $ Total number of students playing cricket in school $ S=320 $ Total number of students playing carrom in school $ S=260 $ Similarly, for school Q playing hockey $ =260 $ Playing cricket $ =180 $ Playing carrom $ =240 $

$ \therefore $ Required difference $ =( \frac{260\times 115}{100}+\frac{320\times 115}{100}+\frac{160\times 115}{100} ) $ $ -( \frac{240\times 95}{100}+\frac{180\times 95}{100}+\frac{260\times 95}{100} ) $ $ =(2.60\times 115+3.20\times 115+1.60\times 115) $ $ -(2.40\times 95+1.80\times 95+2.60\times 95) $ $ =(299+368+184)-(228+171+247) $ $ =851-646=205 $