Question

A predator beast weighs 2008 kg at the beginning of a year. During the first month of the year its weight is increased by 33 1/3% and in the second month decreased by 25% and in the third month increased by 50%, in the fourth month decreased by 33 1/3%, in the fifth month increased by 16 2/3%
and in the sixth month decreased by 21 3/7%. This increase and decrease of the weight continued in the next 6 months in the same order with the same percentage. Find the weight of the predator at the
end of the year.

Answer 1

Step-by-step explanation:

WEIGHT ( At beginning )

• 2008 kg

WEIGHT ( January ) → increase by 33 1/3%

• [ 2008 + 33 1/3% of 2008 ] kg
• [ 2008 + 100/3% of 2008 ] kg
• [ 2008 + 669.34 ] kg
• 2677.34 kg

WEIGHT ( February ) → decreased by 25%

• [ 2677.34 - 25% of 2677.34 ] kg
• [ 2677.34 - 669.355 ] kg
• 2008.005 kg

WEIGHT ( March ) → increased by 50%

• [ 2008.005 + 50% of 2008.005 ] kg
• [ 2008.005 + 1004.0025 ] kg
• 3012.0075 kg

WEIGHT ( April ) → decreased by 33 1/3%

• [ 3012.0075 - 33 1/3% of 3012.0075 ] kg
• [ 3012.0075 - 100/3% of 3012.0075 ] kg
• [ 3012.0075 - 1004.0025 ] kg
• 2008.005 kg

WEIGHT ( May ) → increased by 16 2/3%

• [ 2008.005 + 16 2/3% of 2008.005 ] kg
• [ 2008.005 + 50/3% of 2008.005 ] kg
• [ 2008.005 + 334.6675 ] kg
• 2342.6725 kg

WEIGHT ( June ) → decreased by 21 3/7%

• [ 2342.6725 - 21 3/7% of 2342.6725 ] kg
• [ 2342.6725 - 150/7% of 2342.6725 ] kg
• [ 2342.6725 - 334.6675 ] kg
• 1840.67125 kg

WEIGHT ( July ) → increase by 33 1/3%

• [ 1840.67125 + 33 1/3% of 1840.67125 ] kg
• [ 1840.67125 + 100/3% of 1840.67125 ] kg
• [ 1840.67125 + 669.34 ] kg
• 2454.17 kg

WEIGHT ( August ) → decreased by 25%

• [ 2454.17 - 25% of 2454.17 ] kg
• [ 2454.17 - 613.54 ] kg
• 1840.63 kg

WEIGHT ( September ) → increased by 50%

• [ 1840.63 + 50% of 1840.63 ] kg
• [ 1840.63 + 1004.0025 ] kg
• 2760.95 kg

WEIGHT ( October ) → decreased by 33 1/3%

• [ 2760.95 - 33 1/3% of 2760.95 ] kg
• [ 2760.95 - 100/3% of 2760.95 ] kg
• [ 2760.95 - 920.32 ] kg
• 1840.63 kg

WEIGHT ( November ) → increased by 16 2/3%

• [ 1840.63 + 16 2/3% of 1840.63 ] kg
• [ 1840.63 + 50/3% of 1840.63 ] kg
• [ 1840.63 + 306.77 ] kg
• 2147.40 kg

WEIGHT ( December ) → decreased by 21 3/7%

• [ 2147.40 - 21 3/7% of 2147.40 ] kg
• [ 2147.40 - 150/7% of 2147.40 ] kg
• [ 2147.40 - 459.55 ] kg
• 1687.85 kg