**Directions:** Five different companies A, B, C, D and E make two items I and II. The total number of items produced by these five companies is 80 thousand. The cost of production of each item is Rs 5000. The distribution of the total production by these companies is given in the following pie-chart and the table shows the ratio of production of Item I to that of Item II and the percentage profit earned by these companies on each of these items.

__Question 1:__ What is the profit earned by Company C on Item II?

**[1]** Rs 57.6 lakhs

**[2]** Rs 55.4 lakhs

**[3]** Rs 56.8 lakhs

**[4]** Rs 54 lakhs

**[5]** None of these

**Being good at dealing with ratios helps much in solving these sorts of questions. Let’s realize the final answer step by step.**

Number of items produced by company **C = [72/360]*80000 = X**

Cost of production **= X*5000 = Y**

Cost of production of Item II **= [3/5]*Y = Z**

Percent profit earned on Item II **= 12% of Z ****= [12/100]*Z**

**= [3/5]*[12/100]*Y = 5000*[3/5]*[12/100]*X
= [72/360]*80000*[3/5]*5000*[12/100] = 5760000 = 57.6** lakh.

Answer [1] is correct.

**NOTE: With adequate practice, you can easily compute all this in just a single step!**

__Question 2:__ What is the total cost of production of Item I by companies A and B together?

**[1]** Rs 5 crores

**[2]** Rs 6 crores

**[3]** Rs 8 crores

**[4]** Rs 9 crores

**[5]** None of these

**Using the approach as mentioned above:**

Cost of producing Item I of company A = **[90/360]*80000*[2/5]*5000**

Cost of producing Item I of company B =** [108/360]*80000*[1/3]*5000**

Total **= 80000*5000*[(90/360)*(2/5) + (108/360)*(1/3)] = 80000*5000*[1/5] = 8 crores.**

Answer [3] is correct.

__Question 3:__ What is the total of the profit earned by Company E on the production of Item I and the profit of Company D on the production of Item II?

**[1]** Rs 1.56 crores

**[2]** Rs 2.2 crores

**[3]** Rs 1.3 crores

**[4]** Rs 2.6 crores

**[5]** None of these

**Using a similar approach:**

Total =** 80000*5000*[(36/360)*(4/5)*(30/100) + (54/360)*(2/5)*(25/100)] = 1.56** crores.

Answer [1] is correct.

__Question 4:__ What is the ratio of the cost of production of Item II by Company A to the cost of production of Item I by Company E?

**[1]** 17:12

**[2]** 4:5

**[3]** 7:4

**[4]** 15:8

**[5]** 1:2

**Solution :**

**[90/360]*[3/5] : [36/360]*[4/5] = 90*3 : 36*4 = 30:16 = 15:8.**

Answer [4] is correct.

** Question 5: **The cost of production of Item II for Company E is what per cent of the cost of production of Item I for Company A?

**[1]** 80%

**[2]** 20%

**[3]** 60%

**[4]** 75%

**[5]** 40%

the required percentage is:

{([36/360]*[1/5]) / ([90/360]*[2/5])}*100 = [36/180]*100 = 20 percent.

**Answer [2] is correct.**