There are two types of employees in Sun Metals, general graduates and engineers. 40% of the employees in Sun Metals are general graduates, and 75% of the engineers earn more than Rs. 5 lakh/year. If 50% of the organisation’s employees earn more tha ?->(Show Answer!)

1. There are two types of employees in Sun Metals, general graduates and engineers. 40% of the employees in Sun Metals are general graduates, and 75% of the engineers earn more than Rs. 5 lakh/year. If 50% of the organisation’s employees earn more than Rs. 5 lakh/year, what proportion of the general graduates employed by the organisation earn Rs. 5 lakh or less?

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By: anil on 05 May 2019 02.38 am

Let total employees in Sun Metals = $$100x$$ Number of employees who are general graduates = $$frac{40}{100} imes 100x = 40x$$ => Number of employees who are engineers = $$100x - 40x = 60x$$ Now, number of engineers who earn more than Rs. 5 lakh/year = $$frac{75}{100} imes 60x = 45x$$ Number of employees (both general graduates and engineers) who earn more than Rs. 5 lakhs/year = $$frac{50}{100} imes 100x = 50x$$ => Number of general graduates who earn more than Rs. 5 lakhs/year = $$50x - 45x = 5x$$ Thus, number of general graduates who earn less than Rs. 5 lakhs/year = $$40x - 5x = 35x$$ $$ herefore$$ Proportion of the general graduates employed by the organisation earn Rs. 5 lakh or less = $$frac{35 x}{40 x} = frac{7}{8}$$

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