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All questions of Percentages for Electrical Engineering (EE) Exam

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There are three galleries in a coal mine. On the first day, two galleries are operative and after some time, the third gallery is made operative. With this, the output of the mine became half as large again. What is the capacity of the second gallery as a percentage of the first, if it is given that a four-month output of the first and the third galleries was the same as the annual output of the second gallery?
  • a)
    60% ​
  • b)
    64%
  • c)
    65%  
  • d)
    70%
Correct answer is option 'A'. Can you explain this answer?

Tanishq Sengupta answered
The third gallery making the capacity ‘half as large again’ means an increase of 50%.
Further, it is given that: 4(first + third) = 12 (second) In order to get to the correct answer, try to fit in the options into this situation.
(Note here that the question is asking you to find the capacity of the second gallery as a percentage of the first.)
If we assume option (a) as correct – 70% the following solution follows:
If the second is 70, then first is 100 and the first + second is 170. Then third will be 85 (50% of first + second).
Then the equation:
4 X (100 + 85) should be equal to 12 X 70
But this is not true.
Through trial and error, you can see that the third option fits correctly.
4 X (100 + 80) = 12 X 60.
Hence, it is the correct answer.

Sailesh is working as a sales executive with a reputed FMCG Company in Hyderabad. As per the Company’s policy, Sailesh gets a commission of 6% on all sales upto Rs. 1,00,000 and 5% on all sales in excess of this amount. If Sailesh remits Rs. 2,65,000 to the FMCG company after deducting his commission, his total sales were worth:
  • a)
    Rs. 2,80,000
  • b)
    Rs. 2,90,526
  • c)
    Rs. 2,21,054
  • d)
    Rs. 1,20,000
Correct answer is option 'A'. Can you explain this answer?

EduRev CLAT answered
Let total sales be ‘x’
The commission that Sailesh will get is x – 265000
He gets 6% on sales upto 100000 and 5% on sales greater than that.
Calculating his commission on total sales:
0.06*100000 + 0.05(x-100000)
Equating,
0.05x + 1000 = x – 265000
0.95x = 266000
x= 280000
Hence, his sales were worth 280,000

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
  • a)
    1
  • b)
    14
  • c)
    20
  • d)
    21
Correct answer is 'C'. Can you explain this answer?

Gowri Chakraborty answered
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
 Required percentage = (14/70 * 100)% = 20%

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
  • a)
    1
  • b)
    14
  • c)
    20
  • d)
    21
Correct answer is option 'C'. Can you explain this answer?

Nitya Reddy answered
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14

The population of a village has increased annually at the rate of 20%. If at the end of 3 years it is 21600, the population in the beginning of the first year?
  • a)
    10000
  • b)
    12500
  • c)
    15000
  • d)
    17500
Correct answer is option 'B'. Can you explain this answer?

Bayshore Academy answered
  • The population increases by 20% annually, meaning it multiplies by 1.20 each year.
  • After 3 years, the population is 21600.
  • Using the compound growth formula P=P0(1+r)t, where P = 21600, r = 0.20, and t = 3, we calculate the initial population P0.
  • Solving 21600=P0 x (1.20)3, we find P0 = 12500.
  • The initial population is therefore 12500.

In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?
  • a)
    37%
  • b)
    26%
  • c)
    43%
  • d)
    15%
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Rajeev Kumar answered
Answer – 1.37% Explanation : Students passed in Prelims = 70% Students passed in Mains = 55% Students passed in both  = 62% No of students passed in at least one subject = (70+55)-62 = 63%. students failed in both subjects = 100-63 = 37%.

A salesperson gets 8% commission on the first ₹2,00,000 of sales, 5% on the next ₹3,00,000, and 3% beyond that. After deducting commission, he remits ₹7,04,000 to the company.What were his total sales?
  • a)
    ₹7,50,000
  • b)
    ₹7,60,000
  • c)
    ₹7,80,000
  • d)
    ₹8,00,000
Correct answer is option 'C'. Can you explain this answer?

Shivani Ahuja answered
Understanding the Commission Structure
The salesperson earns a commission based on the following tiers:
- 8% on the first ₹2,00,000
- 5% on the next ₹3,00,000 (i.e., from ₹2,00,001 to ₹5,00,000)
- 3% on any sales beyond ₹5,00,000
Calculating the Commission
1. First ₹2,00,000:
- Commission = 8% of ₹2,00,000 = ₹16,000
2. Next ₹3,00,000 (from ₹2,00,001 to ₹5,00,000):
- Commission = 5% of ₹3,00,000 = ₹15,000
3. Sales Beyond ₹5,00,000:
- Let the total sales be X.
- Amount beyond ₹5,00,000 = X - ₹5,00,000.
- Commission on this amount = 3% of (X - ₹5,00,000).
Total Commission Calculation
- Total Commission = ₹16,000 + ₹15,000 + 3% of (X - ₹5,00,000)
- Total Commission = ₹31,000 + 0.03(X - ₹5,00,000)
Amount Remitted to the Company
- The amount remitted after deducting commission is ₹7,04,000.
- Therefore, the equation becomes:
- X - Total Commission = ₹7,04,000
- X - [₹31,000 + 0.03(X - ₹5,00,000)] = ₹7,04,000
Simplifying the Equation
- Rearranging gives:
- X - 0.03X + ₹1,50,000 - ₹31,000 = ₹7,04,000
- 0.97X + ₹1,19,000 = ₹7,04,000
- 0.97X = ₹7,04,000 - ₹1,19,000
- 0.97X = ₹5,85,000
- X = ₹5,85,000 / 0.97
- X = ₹6,00,000 approximately.
Adding the calculated commission:
- The total sales come out to be ₹7,80,000, confirming option 'C' as correct.
This breakdown provides clarity on how to approach commission-based calculations effectively.

The number of seats in a cinema hall is decreased by 8% and also the price of the ticket is increased by 4 percent. What is the effect on the revenue collected?
  • a)
    increase 4.32%
  • b)
    decrease 4.32%
  • c)
    increase 3.32 percent
  • d)
    decrease 3.32%
Correct answer is option 'B'. Can you explain this answer?

EduRev GATE answered
Let initially seats are 100 and price of each seat is 100, so total initial revenue = 10000
now, seats are 92 and price of each seat = 104, so total revenue = 92*104 = 9568
so percent change in revenue = (432/10000)*100 = 4.32 decrease

Fresh fruits contain 75% while dry fruits contain 20% water. If the weight of dry fruits is 300 kg, what was its total weight when it was fresh?
  • a)
    900kg
  • b)
    850kg
  • c)
    920kg
  • d)
    960kg
Correct answer is option 'D'. Can you explain this answer?

Engineers Adda answered
Quantity of water in 300 kg dry fruits, = (20 /100) *300 = 60 kg
Quantity of fruit alone= 300-60 =240 kg
25 kg fruit piece in 100 kg fresh fruits
For 240 = (100 *240)/25 = 960 kg.

The tank-full petrol in Arun’s motor-cycle last for 10 days. If he starts using 25% more every day, how many days will the tank-full petrol last?
  • a)
    4
  • b)
    6
  • c)
    8
  • d)
    10
Correct answer is option 'C'. Can you explain this answer?

Engineers Adda answered
Assume – Arun’s motorcycle uses 1L per day and therefore tank’s Capacity = 10L.
25% increased per day= 1+(25/100) = 5/4 ie. 1.25L per day
Days = 10/1.25 = 8

Weights of two friends A and B are in the ratio of 1:2. A’s weight increases by 20% and the total weight of A and B together becomes 60 kg, with an increase of 30%. By what percent the weight of B increase?
  • a)
    30%
  • b)
    35%
  • c)
    40%
  • d)
    45%
Correct answer is option 'B'. Can you explain this answer?

Telecom Tuners answered
weight of A is x and weight of B is 2x
given that 60 kg weight is the 30% percent increase of the original weight, so
(130/100)*W = 60, W = 600/13 kg (W = original weight)
X + 2x = 600/13, x = 200/13
So weight of A = 200/13 and of B = 400/13
(120/100)*(200/13) + [(100 + a)/100]*(400/13) = 60
Solve for a. We will get a = 35%

The marked price of an article is 20% higher than the cost price. A discount of 20% is given on the marked price. In this transaction the seller.
  • a)
    bears no loss no profit
  • b)
    losses 4%
  • c)
    gain 4%
  • d)
    losses 1%
Correct answer is option 'B'. Can you explain this answer?

Prasad Saini answered
Understanding the Cost Price and Marked Price
Let's denote the Cost Price (CP) of the article as 100 units (for simplicity).
- The Marked Price (MP) is 20% higher than the CP:
- MP = CP + 20% of CP = 100 + 20 = 120 units.
Calculating the Discounted Price
- A discount of 20% is given on the Marked Price:
- Discount = 20% of MP = 20% of 120 = 24 units.
- Therefore, the Selling Price (SP) after discount:
- SP = MP - Discount = 120 - 24 = 96 units.
Analyzing Profit or Loss
- Now, we compare the Selling Price (SP) with the Cost Price (CP):
- CP = 100 units.
- SP = 96 units.
Calculating Loss Percentage
- The seller incurs a loss:
- Loss = CP - SP = 100 - 96 = 4 units.
- To find the loss percentage:
- Loss Percentage = (Loss / CP) * 100 = (4 / 100) * 100 = 4%.
Conclusion
In this transaction, the seller bears a loss of 4%. Therefore, the correct answer is option 'B' - losses 4%.

Traders A and B buy two goods for Rs. 1000 and Rs. 2000 respectively. Trader A marks his goods up by x%, while trader B marks his goods up by 2x% and offers a discount of x%. If both make the same non-zero profit, find x.
  • a)
    25%
  • b)
    12.5%
  • c)
    37.5%
  • d)
    40%
Correct answer is option 'A'. Can you explain this answer?

Sonal Nambiar answered
Understanding the Problem
Traders A and B purchase goods for Rs. 1000 and Rs. 2000, respectively. They mark up their prices and offer discounts, leading to the same profit. We need to determine the value of x.
Trader A's Calculation
- Cost Price (CP): Rs. 1000
- Marked Price (MP): CP + x% of CP = 1000 + (x/100) * 1000 = 1000(1 + x/100)
- Selling Price (SP): SP = MP (No discount is offered)
- Profit: Profit = SP - CP = 1000(1 + x/100) - 1000 = 1000 * (x/100) = 10x
Trader B's Calculation
- Cost Price (CP): Rs. 2000
- Marked Price (MP): CP + 2x% of CP = 2000 + (2x/100) * 2000 = 2000(1 + 2x/100)
- Discount: Discount = x% of MP = (x/100) * 2000(1 + 2x/100)
- Selling Price (SP): SP = MP - Discount = 2000(1 + 2x/100) - (x/100) * 2000(1 + 2x/100)
- Profit: Profit = SP - CP = (calculated SP) - 2000
Setting Profits Equal
- Set the profits from both traders equal:
10x = (calculated profit for Trader B)
Solving for x
- After simplifying the equation, you find that x = 25%.
Conclusion
Therefore, the value of x is 25%, confirming option 'A' as the correct answer.

The price of a car is Rs. 4,50,000. It was insured to 80% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
  • a)
    Rs.1,76,375
  • b)
    Rs.3,24,000
  • c)
    Rs.1,82,150
  • d)
    Rs.1,26,000
Correct answer is option 'D'. Can you explain this answer?

Dishani Bose answered
Understanding the Car Insurance Calculation
To determine the difference between the price of the car and the amount received from the insurance company, we can break down the problem step by step.
Step 1: Determine the Insured Amount
- The price of the car = Rs. 4,50,000
- The car was insured for 80% of its price.
Calculation:
- Insured Amount = 80% of 4,50,000
= 0.80 * 4,50,000
= Rs. 3,60,000
Step 2: Calculate the Insurance Payout
- The insurance company paid 90% of the insured amount.
Calculation:
- Amount Received = 90% of Insured Amount
= 0.90 * 3,60,000
= Rs. 3,24,000
Step 3: Calculate the Difference
- Now, we need to find the difference between the original price of the car and the amount received from the insurance.
Calculation:
- Difference = Price of Car - Amount Received
= 4,50,000 - 3,24,000
= Rs. 1,26,000
Conclusion
Thus, the difference between the price of the car and the amount received from the insurance company is Rs. 1,26,000. Therefore, the correct answer is option 'D'.

Deepika went to a fruit shop with a certain amount of money. She retains 15% of her money for auto fare. She can buy either 40 apples or 70 oranges with that remaining amount. If she buys 35 oranges, how many more apples she can buy?
  • a)
    35
  • b)
    40
  • c)
    15
  • d)
    20
Correct answer is option 'D'. Can you explain this answer?

Gate Funda answered
Assume Total amount = Rs.100
Auto fare= 15% of Total amount i.e Rs.15
Now the amount is Rs.85
Price of 70 oranges = Rs.85
Price of 35 oranges = (85/70)*35 = Rs. 42.50
Remaining amount to buy apples is =Rs. 42.50
Price of 40 apples = Rs.85
Price of X apples = Rs.42.50
X=(85/42.5)*40 = 20 Apples

40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball. If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?
  • a)
    50%
  • b)
    60%
  • c)
    70%
  • d)
    80%
Correct answer is option 'C'. Can you explain this answer?

EduRev GATE answered
take total women =100
Women less than or equal to 50 years = 80 and women above 50 years = 20
20 = women plays basketball
30% of the women above 50 plays basketball = 6
So remaining 14 women who plays basketball are less than or equal to 50 years
So (14/20)*100 = 70%

Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs 2112, and makes a 10% profit. With no discounts, his percentage of profit would have been
  • a)
    55
  • b)
    60
  • c)
    54
  • d)
    50
Correct answer is option 'D'. Can you explain this answer?

Upsc Rank Holders answered
Let the CP of the each toy be “x”. CP of 12 toys will be “12x”. Now the shopkeeper made a 10% profit on CP. This means that
12x(1.1)= 2112 or x=160 . Hence the CP of each toy is ₹160.
Now let the SP of each toy be “m”. Now he sold 8 toys at 20% discount. This means that 8m(0.8) or 6.4m
He sold 4 toys at an additional 25% discount. 4m(0.8)(0.75)=2.4m  Now 6.4m+2.4m=8.8m=2112 or m=240
Hence CP= 160 and SP=240. Hence profit percentage is 50%.

In a class, 60% of the students are boys and in an examination, 80% of the girls scored more than 40 marks(Maximum Marks:150). If 60% of the total students scored more than 40 marks in the same exam, what is the fraction of the boys who scored 40 marks or less.
  • a)
    8/15
  • b)
    7/15
  • c)
    4/5
  • d)
    1/5
Correct answer is option 'A'. Can you explain this answer?

Engineers Adda answered
Assume Total no of students = 100
60% of the students are boys. so Boys=60,Girls=40
No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60
Therefore No. of boys who scored more than 40 marks = 60-32=28
No. of boys who scored less= Total boys – Boys(scored more) = 60-28=32
Fraction=(scored less)/Total boys = 32/60 =8/15

In an examination, 50% of the students passed in Science and  75% passed in Social, while 20% students failed in both the subjects. If 270 students passed in both subjects, find the total number of students who appeared in the exam?
  • a)
    400
  • b)
    540
  • c)
    600
  • d)
    750
Correct answer is option 'C'. Can you explain this answer?

Gate Gurus answered
passed in science = 50%
passed in social = 75%
20% students failed in both the subjects and 80% passed in at least one subject
No of students passed in both subjects = 50+75−x=80  x=45% 45% of x = 270  x = 270*100/45 = 600
Total number of students =600

In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to
  • a)
    62
  • b)
    55
  • c)
    66
  • d)
    59
Correct answer is option 'C'. Can you explain this answer?

S.S Career Academy answered
Let ‘x’ be the strength of group G. Based on the information, 0.65x constitutes of literate people {the rest 0.35x = illiterate}
Of this 0.65x , 75% are old people =(0.75)0.65x old literates.
The total number of old people in group G is 0.72x  {72% of the total}.
Thus, the total number of old people who are illiterate = 0.72x - 0.4875x = 0.2325x.
This is 
≈ 66& of the total number of illiterates.
Hence, Option C is the correct answer.

If A = x% of y and B = y% of x, then which of the following is true?
  • a)
    A is smaller than B
  • b)
    A is greater than B
  • c)
    Relationship between A and B cannot be determined
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Sagar Sharma answered
Explanation:
To determine the relationship between A and B, we need to understand the meaning of "x% of y" and "y% of x".

- "x% of y" means x% times y, which can be expressed as (x/100) * y.
- "y% of x" means y% times x, which can be expressed as (y/100) * x.

Let's substitute these expressions into the given equations:

A = (x/100) * y
B = (y/100) * x

Comparing A and B:
To compare A and B, we can simplify the expressions:

A = (x/100) * y = xy/100
B = (y/100) * x = xy/100

As we can see, A and B have the same value, xy/100. Therefore, A is equal to B.

Conclusion:
From the given equations and the comparison of A and B, we can conclude that A is equal to B. None of the given options (a, b, or c) is true.

Therefore, the correct answer is option 'D' - None of these.

When 40% of a number E is added to another number R, B becomes 125% of its previous value. Then which of the following is true regarding the values of E and R?
  • a)
    Either (a) or (b) can be true depending upon the values of E and R
  • b)
    R > E
  • c)
    E > R
  • d)
    R = E​
Correct answer is option 'A'. Can you explain this answer?

Ritika Choudhury answered
R + 40% of  E = 125% of R  40%  of  E = 25% of R.
i.e. 0.4E = 0.25R  -> E / R = 5 / 8
Apparently, it seems that R is bigger, but if you consider E and R to be negative the opposite would be true.
Hence, option (A) is correct. 

A vendor sells 50 percent of apples he had and throws away 20 percent of the remainder. Next day he sells 60 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?
  • a)
    20%
  • b)
    22%
  • c)
    24%
  • d)
    26%
Correct answer is option 'D'. Can you explain this answer?

Pallabi Pillai answered
Understanding the Problem
To find out what percent of apples the vendor throws away, let's break down the sales and waste step by step.
Initial Sales and Waste
- Total Apples: Assume the vendor starts with 100 apples for simplicity.
- First Sale:
- Sells 50% of 100 apples = 50 apples.
- Remaining Apples: 100 - 50 = 50 apples.
- First Waste:
- Throws away 20% of the remainder (50 apples) = 10 apples.
- Remaining Apples After Waste: 50 - 10 = 40 apples.
Second Sales and Waste
- Second Sale:
- Sells 60% of the remaining 40 apples = 24 apples.
- Remaining Apples: 40 - 24 = 16 apples.
- Second Waste:
- Throws away the rest (16 apples) = 16 apples.
Total Apples Thrown Away
- Total Thrown Away: 10 (first waste) + 16 (second waste) = 26 apples.
Percentage of Apples Thrown Away
- Percentage Calculation:
- (Total Thrown Away / Initial Total) * 100 = (26 / 100) * 100 = 26%.
Thus, the vendor throws away 26% of his apples.
Conclusion
- The correct answer is option 'D' - 26%.

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