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Percentage

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Topic starter

During an election 70% of the people who polled said that they would vote for Mr. X Of those who said that, only 60% actually voted for X. Out of those who did not say they would vote for Mr. X, 70% actually voted for X. What percent of those who polled did vote for X?

  • a.66%
  • b.42%
  • c.74%
44 questions & discussions are there under this sub-topic
5

Q1. In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is ?

Madhav 24/01/2024 4:08 pm

@neraj-naiyar Sir,

Ans. 20

 

Given that there are 60 % girls and 40 % boys
It is also given that there are 30 more girls than boys.
So, (60 % - 40 %) of total class strength = 30 students
=> 20 % of total class strength = 30 students
=> Total class strength = 30 x 5 = 150 students
It is also given that 68% of students pass the the examination, which includes 30 boys
So, Number of students passed = 68% of Total students

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4

Q1. Meena scores 40% in an examination and after review, even though her score is increased by 50%, she fails by 35 marks. If her post-review score is increased by 20%, she will have 7 marks more than the passing score. The percentage score needed for passing the examination is 

  1. 75
  2. 80
  3. 60
  4. 70
Neraj (Tg)Faculty 27/01/2024 1:01 pm

@madhav

Correct Answer 70

Meena scores 40 % in an exam
After review, she scores 50 % more => Increase of 50 % from 40 % = 40% + 20% = 60%
She fails by 35 marks, by scoring 60%
60% score = Pass mark - 35 ----- (1)
If her post review score is increased by 20%, she would have 7 more than the pass mark.
20% of 60% = 12 %
So, 60% + 12% = 72% of marks = Pass mark + 7 ------ (2)
So, 12% marks = 35 + 7 (5: 1 ratio)
So, similarly 12% can be re written as 10 % and 2 % (maintaining the 5:1 ratio)
Hence the pass percentage = 60 % + 10 % = 70%
(or)
Pass percentage = 72 % - 2 % = 70%

4

Q1.  The income of Amla is 20% more than that of Bimla and 20% less than that of Kamla. If Kamla's income goes down by 4% and Bimla's goes up by 10%, then the percentage by which Kamla's income would exceed Bimla's is nearest to:-

A. 28
B. 29
C. 31
D. 32

Madhav 31/01/2024 7:35 pm

@neraj-naiyar 

Ans – C 31

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3

Q1. In a factory, there are three types of machines b1, b2, and b3 which produces 20%, 15%, and 32% of the total products respectively. Further, machines b1, b2, and b3 which produces 3%, 7%, and 2% defective products respectively. Find the percentage of non-defective products?
A) 46%
B) 30%
C) 53%
D) 64%

Sachin Yadav 03/03/2024 12:51 pm

@neraj-naiyar

Sir,

Solution: D
b1 3% of 20 = 0.6 is defective and 20 - 0.6 = 19.4% non defective
b2 7% of 15 ≡ 1 (defective) and 15 - 1 = 14 is non-defective
b3 2% of 32 = 0.64 is defective and 32 - 0.64 = 31.36 is non-defective

By adding all the non-defective %'s = 19.4 + 14 + 31.36 ≡ 64%
The answer is 64%

1

Let the population of Mexico be x
Population after 10% migrated to SA = 0.9x
Population after 10% migrated to America = 0.9x * 0.9 = 0.81x
Population after 10% of the rest migrated to Australia = 0.81x * 0.9 = 0.729x
Let the no of males be a and females be b
=> a+b = 0.729x
Given that b=a/2
and b = 364500
=> a = 2*364500 = 729000
=> 729000 + 364500 = 0.729x
=> x = 1500000

1

So Sir what can we say about the applicability of this rule . Can it be applied to all such compound interest questions ?

TG Team 14/10/2018 6:40 pm

Yes!

But, it is an approximate value and its accuracy reduces as the interest rate becomes high.

0

Of the ones who said they shall vote for X--->70% of 60 % of people = 42% of people actually voted for X

Of the ones who did not say they'll vote for X--->70% of 30 % of people = 21% of people actually voted for X

Vot for x = 42% + 21% =63%

0

Hello sir,

please solve

Ravi invests 50% of his monthly savings in fixed deposits. Thirty percent of the rest of his savings is invested in stocks and the rest goes into Ravi's savings bank account. If the total amount deposited by him in the bank (for saving account and fixed deposits) is Rs 59500, then Ravi's total monthly savings (in Rs) is

Anonymous 21/03/2018 6:41 pm

Hello Kinsuk,  

Please find the solution.

Let Ravi's total saving is Rs 100

Investment in fixed deposit = Rs 50 

Remaining = Rs 50

Investment in stock = 30% of 50 =Rs 15

Remaining = 50 - 15 = Rs 35

Investment in saving account = Rs 35

If the total amount deposited by him in the bank (for saving account and fixed deposits) is Rs 85, then his total monthly saving is Rs 100.

So, when the total amount deposited by him in the bank (for saving account and fixed deposits) is Rs 59500, then his total monthly saving = (59500 x 100)/85 = Rs 70000

0

Hello sir,

this question was asked in CAT 2017, please explain the solution in detail.

If a seller gives a discount of 15% on retail price, she still makes a profit of 2%. Which of the following ensures that she makes a
profit of 20%?
A) Give a discount of 5% on retail price B) Give a discount of 2% on retail price C) Increase the retail price by 2%
D) Sell at retail price

Anonymous 21/03/2018 6:48 pm

Hello S.Nath,

Find the solution below,

Let the retail price be 100.

Discount = 15

Selling price = 85

Cost price = (85/1.02) =(500/6)

In order to make a profit of 20%, the selling price =(500 x 1.20)/6 = 100

The seller must sell at the retail price

0
Topic starter

A rober entered in a class room.He thefts 80% prncils,85% pens,75%scales and 68% rubbers.Find the minimum percentage of people who lost four items?

all tg members, plz give a try and xplain the funda which should be applied

0

Assuming every student of class possesses the equal number of pencils, pens, scales, and rubbers.
Then minimum percentage of people who lost four items = (80 + 85 + 75 + 68) - (3*100) = 308 - 300 = 8%.

0

10% of Mexico population migrated to South Asia 10%of the remaining migrated to America and 10% of the rest to Australia. If the female population which was left in Mexico remained only 364500 find the population of Mexico city before the migration and its effect if it is given that before the migration the female population was half the male population and this ratio did not change after the migration ? 
can anyone provide me the solution of it in easy way

0

Ashok sells his goods 50% dearer than shankar and 20% dearer than bishnu. How  much % is bishnu goors dearer than shankar?

0
  1. In a physical measurements., by mistake S gave his height as 25% morr than normal. In the interviewpanel, he clarified his height is 5 feet 5 inches. Find the % correction made by candidate from hisbstated height to his actual height
TG Team 10/07/2018 12:34 pm

If the candidate has inadvertently increased his height by 5/4  the correction he would need to make to go back to his original height would be to reduce the stated height by 1/5 which is 20% . 

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