Aptitude : Percentage

(16) If a number is increased by 15%, then by what percent of the new value must it be reduced to get the original number back?

• (a)12.5 Percentage
• (b)13.5 Percentage
• (c)11.25 Percentage
• (d)13.04 Percentage

Answer

Correct Answer : (d) 13.04 Percentage
Original number = 100
Increased number = 100 + 15% of 100 = 115
Reduction = 115 – 100 = 15
Percentage reduction = 15 / 115 * 100 = 13.04%

(17) The value of a machine depreciates at the rate of 10% every year. What will be the value of the machine after 3 years if its present value is Rs. 20000?

• (a)14500 Rupees
• (b)12072 Rupees
• (c)14502 Rupees
• (d)15305 Rupees

Answer

Correct Answer : (b) 12072 Rupees
Present value of the machine = Rs. 20000
Depreciation rate = 10%
Number of years = 3
The value of the machine after each year can be calculated as follows:
Year 1 = 20000 * (1 – 10/100) = Rs. 18000
Year 2 = 18000 * (1 – 10/100) = Rs. 16200
Year 3 = 16200 * (1 – 10/100) = Rs. 12072
The value of the machine after 3 years will be Rs. 12072.

(18) In a college election between two candidates, one candidate received 62% of the total votes and won the election by 144 votes. What was the total number of votes polled?

• (a)600
• (b)800
• (c)700
• (d)500

Answer

Correct Answer : (a) 600
Let x be the total number of votes polled.
The winning candidate received 62% of the votes, so the losing candidate received 38% of the votes.
62% of x – 38% of x = 144
24% of x = 144
x = 600
Therefore, the total number of votes polled was 600.

(19) In a test, a candidate secured 336 marks out of maximum marks ‘x’. If the maximum marks ‘x’ is converted into 800, find the marks obtained by the candidate.

• (a)400
• (b)150
• (c)350
• (d)Not Known

Answer

Correct Answer : (d) Not Known
The candidate secured 336 marks out of x marks. If the maximum marks x is converted into 800, then the marks obtained by the candidate is 336/x * 800.
336/x * 800 = 270400/x
The value of x cannot be determined as it is not given.

(20) If the price of petrol increases by 25% and Raj intends to spend only 15% more on petrol, by what % should he reduce the quantity of petrol he buys?

• (a)8 Percentage
• (b)12 Percentage
• (c)6 Percentage
• (d)15 Percentage

Answer

Correct Answer : (a) 8 Percentage
Original amount spent on petrol = $100
Increase in price of petrol = 25%
New amount spent on petrol = $100 + 25% of $100 = $125
Amount Raj wants to spend on petrol = $115
Reduction in quantity of petrol = (125 – 115) / 125 = 8%