Directions (Q. 12-16): Study the following pie-chart and graph carefully to answer the questions given below: Income of seven companies in a country during the financial year 2015-16 
% profit of these companies during the financial year 2015-16 
A) HCL
B) TCS
C) IBM
D) LAVA
E) Google
Correct Answer: C
Solution :
Expenditure of HCL \[=5000\times \frac{13}{100}\times \frac{100}{130}=Rs.\,\,500\,\,cr\] Profit of HCL = Rs. (650 - 500) = Rs. 150 cr Expenditure of \[=5000\times \frac{7}{100}\times \frac{100}{125}=Rs.\,\,280\,\,cr\] Profit of IBM = Rs. (350 - 280) = Rs. 70 cr Expenditure of CTS\[=5000\times \frac{14}{100}\times \frac{100}{135}\] \[=Rs.\,\,518.51\,\,cr\] Profit of CTS = Rs. (700 - 518.51) = Rs. 181.49 cr Expenditure of Google\[=5000\times \frac{15}{100}\times \frac{100}{120}\] = Rs. 625 cr Profit of Google = Rs. (750 - 625) = Rs. 125 cr Expenditure of LAVA\[=5000\times \frac{15}{100}\times \frac{100}{127}\] = Rs. 590.55 cr Profit of LAVA = Rs. (750 - 590.55) = Rs. 159.45 cr Expenditure of Oppo\[=5000\times \frac{10}{100}\times \frac{100}{132}\] = Rs. 378.78 cr Profit of Oppo = Rs. (500 - 378.78) = Rs. 121.22 cr Expenditure of TCS\[=5000\times \frac{26}{100}\times \frac{100}{115}\] = Rs. 1130.43 cr Profit of TCS = Rs. (1300 - 1130.43) = Rs. 169.57 cr Hence IBM has minimum profit. Note: (1) We don't need to calculate the exact value of profits for all companies. To save our time, we may compare the (% income \[\times \] % profit) to get the result. In this case \[7\times 25=175\] is the minimum value, so profit in case of IBM is the minimum. (2) But the above method will not work always. To confirm the result we should % income x % profit compare:\[\frac{\text{ }\!\!%\!\!\text{ income }\!\!\times\!\!\text{ }\!\!%\!\!\text{ profit}}{\text{100+ }\!\!%\!\!\text{ profit}}\] In this case also\[\frac{7\times 25}{125}=1.4\]is the minimum.
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