Arithmetic Aptitude - Percentages questions with answers
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An ice-cream vendor sold 31 cones and 48 sundaes in the month of June. The sales of cones and sundaes increased by 50% each in the month of July. Additionally, the sale of milkshakes was 70 units in July which was 50% less than that in the month of June. What is the total percentage increase or decrease in the total sale of the vendor in the month of July?View Answer
Answer: B. Sales decreased by 13.6%
Explanation:
Total sales in June are greater than the total sales in the month of July. Hence, there is a net decrease in the sales of the vendor in the month of July. The sales have decreased by:
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A pentagon-shaped building is painted over from outside using different colours. One wall is painted completely with orange colour, while 2 walls are painted each with 75% red colour and 25% in orange colour. For the remaining two walls, each wall is painted in 50% green colour, 25% orange colour and remaining 25% in red colour. What percentage of the external walls of the building is painted orange?View Answer
Answer: A. 40%
Explanation: Let us assume that each wall is x.
Then all the walls together are 5x (since the pentagon shaped building will have 5 walls).
Now, walls painted orange are:
x + 0.25x + 0.25x+ 0.25x+ 0.25x = 2x
Therefore, percentage painted orange:
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In a dry fruit mix sold at a famous grocery store, 13% of the total mix are peanuts and 25% are dried grapes. Moreover, there are two types of dried grapes- red and green. Out of 25% of the grapes, 64% are dried red grapes, and remaining are dried green grapes. What percentage of the total mixture are dried green grapes?View Answer
Answer: C. 40%
Explanation: Let us assume that there are a total of 100 items in the mix.
Of this, 25% are dried grapes. Therefore, there are 25 dried grapes.
Total % of green grapes = 100-64 = 36%
Therefore, % of green dried grapes is:
Hence, 9% of the total mix is dried green grapes.
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In a game of Othello, 15 coins are face-up black and 17 coins are face-up white on the board. 12 coins are still with the players. After two moves by each player (each player puts one coin on the board in one move), what % of the total coins are still off the board?View Answer
Answer: D. 18.18%
Explanation: Total coins in the game = 15 + 17 + 12 = 44.
Total coins off the board after two moves by each player = 12 – 2 -2 = 8
Therefore, % of coins off the board =
During a typical day in the school, each student attends 8 periods each having a total duration of 50 mins. There are 4-minutes between each period, which students utilize as a break. Additionally, every student has a 20-minute lunch break and a 25-minute advisory break. What is the total percentage of the time the student is having break time during the school hours?View Answer
Answer: B. 15.4%
Explanation: Total duration of the school:
Total break time = 28 + 20 + 25 = 73 minutes
Therefore, % time of breaks =
Given that:View Answer
30% of a = x
30% of b = y
x + y = 15
b-a = 10
Find the values of a and b.
Answer: A. a) a=20; b= 30
Explanation: Given that,
x + y = 15
Substitute
Therefore,
0.3a + 0.3b= 15 -- (1)
Also, given that, b – a = 10
Hence, a = b-10
Substitute in (1)
0.3(b-10) + 0.3b = 15
0.6b – 3 = 15
Hence, b = 30
a = b – 10 = 30 – 10 = 20
In a game of snakes and ladders, there are 7 snakes and 8 ladders. Every snake has a mouth and a tail. Each ladder has a climbing square and a dropping square. What percentage of the total squares on the board that are not the mouth or the tail of the snakes or the climbing/dropping squares of the ladders?View Answer
Answer: B. 70%
Explanation: Since there are 7 snakes, the number of squares at mouth and tail of snakes = 7 * 2= 14 Since there are 8 ladders, the number of squares at climbing and dropping locations of ladder= 8 *2 = 16
Total = 16 + 14 = 30
Total squares on the board that are not the mouth or the tail of the snakes or the climbing/dropping squares of the ladders = 100 -30 = 70
Since there are a total of 100 squares on the board, therefore percentage of squares on the board that are not the mouth or the tail of the snakes or the climbing/dropping squares of the ladders = 70%
An online shopping site was selling a sofa at $499. Two weeks before the sale, they increased the price of the sofa to $1077. On the day of the sale, the site sold the sofa at a discount of 34%. What is the percentage increase/decrease of the selling price of the sofa from its original price two weeks back?View Answer
Answer: A. 42.4% increase in the selling price of the sofa
Explanation: Since there is a discount of 34%, therefore, the new selling price of sofa is:
This selling price is higher than the original selling price, hence there is a increase in the selling price at the time of sale.
Therefore, % increase in selling price =
The table shows the number of students in each grade in a high school. Students either walk to the school or use a school bus. 15.23% of grade 9 students and 13.63% of grade 10 students are walkers. No student of grade 11 or 12 is a walker. What percentage of the high school students are bus riders?View Answer
Answer: C. 92.42%
Explanation: Grade 9 bus riders = 100 -15.23 = 84.77 %
Number of Grade 9 students who are bus riders =
Grade 10 bus riders = 100 -13.63 = 86.37 %
Number of Grade 10 students who are bus riders =
Therefore, total number of students in the school who are bus riders = 89 + 95 + 95 + 99 = 378
Also, total number of students in high school = 105 + 110 + 95 + 99 = 409
Finally, the % of students who are bus riders =
Given that,View Answer
a + b = x % of 30
a – b = y % of 30
Also, x + y = 46.667
What will be the value of a?
Answer: B. 7.0
Explanation:
a + b = x % of 30 -> a + b = 0.3x --- (1)
a – b = y % of 30 -> a - b = 0.3y ---(2)
Adding (1) + (2),
2a = 0.3x + 0.3y
2a = 0.3 (x + y)
Given, x + y = 46.667
2a = 0.3 (46.667)
Hence, a = 7.0
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