Question : The value of a machine is 6,250. It decreases by 10% during the first year, 20% during the second year and 30% during the third year. What will be the value of the machine after 3 years?
Option 1: 2,650
Option 2: 3,050
Option 3: 3,150
Option 4: 3,510
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Correct Answer: 3,150
Solution : Current value = 6250 Value after 1st year (decrement of 10%) = 6250 – $\frac{10}{100}$ × 6250 = 6250 – 625 = 5625 Value after 2nd year (decrement of 20%) = 5625 – $\frac{20}{100}$ × 5625 = 5625 – 1125 = 4500 Value after 3rd year (decrement of 30%) = 4500 – $\frac{30}{100}$ × 4500 = 4500 – 1350 = 3150 Hence, the correct answer is 3,150.
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Question : The current population of the town is 68,000. The population increases by 10 percent in the first year and decreases by 30% in the second year. Find the population after 2 years.
Option 1: 52,360
Option 2: 68,500
Option 3: 69,000
Option 4: 70,100
Question : A two-wheeler depreciates by 20% of its value every year. If the present value of the same is Rs. 90,000, its depreciated value would be Rs. 36,864 after:
Option 1: 6 years
Option 2: 5 years
Option 3: 4 years
Option 4: 3 years
Question : Rs. 30,000 is lent at compound interest (compounded annually) for 3 years. If the rate of interest is 10% for the first year, 20% for the second year, and 30% for the third year, then what will be the total compound interest?
Option 1: Rs. 21,480
Option 2: Rs. 19,270
Option 3: Rs. 20,560
Option 4: Rs. 22,580
Question : The average age of 30 students is 20 years and the average age of 20 other students is 30 years. The average age of the total number of students is:
Option 1: 24 years
Option 2: 25 years
Option 3: 48 years
Option 4: 50 years
Question : The average age of Ram and Rahim is 10 years. The average age of Rahim and Ramesh is 15 years. The average age of Ram and Ramesh is 20 years. What is the age of the eldest of the three?
Option 1: 25 years
Option 2: 10 years
Option 3: 30 years
Option 4: 15 years
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