Question : The pie chart given below shows the production of 6 different factories. The total production of all these 6 factories is 15000. The production of a particular factory is shown as a percent of total production of all these 6 factories. $J_1$ = The value of average production of factories F3 and F6. $J_2$ = The difference between the production of factory F1 and F4. What is the value of ($J_2 – J_1$)?
Option 1: 385
Option 2: 395
Option 3: 375
Option 4: 305
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Correct Answer: 375
Solution : Total production = 15000 Now let's calculate $J_1$ and $J_2$. $J_1$ = The value of average production of factories F3 and F6 $J_1$ = $\frac{\text{F3 } + \text{ F6}}{2}$ F3 = 6% of 15000 ⇒ F3 = 900 F6 = 5% of 15000 ⇒ F6 = 750 $\therefore$ J1 = $\frac{900+750}{2}$ ⇒ $J_1$ = $825$ And $J_2$ = The difference between the production of factory F1 and F4. $J_2$ = F4 $-$ F1 F1 = 20% of 15000 ⇒ F1 = 3000 F4 = 28% of 15000 ⇒ F4 = 4200 $\therefore$ $J_2$ = 4200 $-$ 3000 ⇒ $J_2$ = 1200 Now, we have to find ($J_2 - J_1$) ⇒ $J_2 - J_1$ = $1200 - 825 = 375$ Hence, the correct answer is 375.
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