Previous Year Questions

The total raw material left and finished products in Kolkata = The total raw material left and finished products in Surat

15Y + 6X + 4Y + 8X - 2Y = 5X + 3.5Y + 8.5X + 1.25Y + 9X - 0.5Y

17Y + 14X = 22.5X + 4.25Y

8.5X = 12.75Y

X = 3Y/2 ... (i)

The total raw material left and finished products in Delhi = 4000

4X + 7Y + 8X + 10X = 4000

22X + 7Y = 4000

From (i)

22 * 3Y/2 + 7Y = 4000

33Y + 7Y = 4000

40Y = 4000

Y = 100

X = 150

The total raw material left and finished products in Mumbai in Factory A and Factory B = 1000 * 2 = 2000

The total raw material left and finished products in Mumbai in Factory B and Factory C = 900 * 2 = 1800

The total raw material left and finished products in Mumbai in Factory C and Factory A = 700 * 2 = 1400

The total raw material left and finished products in Mumbai in Factory A, Factory B, and Factory C = (2000 + 1800 + 1400)/2 = 2600

The total raw material left and finished products in Mumbai in Factory A = 2600 - 1800 = 800

The total raw material left and finished products in Mumbai in Factory B = 2600 - 1400 = 1200

The total raw material left and finished products in Mumbai in Factory C = 2600 - 2000 = 600

The total raw material left and finished products in Delhi in all three Factories = 1600 + 1000 + 1400 = 4000

The total finished products in Delhi in all three Factories = 4000 * 5/8 = 2500

The total raw material left and finished products in Surat in all three Factories = 1000 + 1200 + 1600 = 3800

The total finished products in Surat in all three Factories = 3800 * 11/19 = 2200

Hence, the required average = (2500 + 2200)/ 2 = 2350