Aptitude - Percentage - Discussion

Discussion Forum : Percentage - General Questions (Q.No. 4)
4.
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
1
14
20
21
Answer: Option
Explanation:

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 x 100 % = 20%.
70

Video Explanation: https://youtu.be/cBamI6iRNIA

Discussion:
105 comments Page 2 of 11.

Manjunath Halageri said:   4 years ago
I think the total numbers are 15 because here, the number 10 is missed.

10 also have the number 1.
(5)

Dario said:   1 year ago
The unit's digit (or ones digit) of a number is the digit in the farthest right position. It represents how many ones are in the number.

For example:
In the number 345, the unit's digit is 5.
In the number 82, the unit's digit is 2.
In the number 1090, the unit's digit is 0.
So, when looking for numbers with a specific unit's digit, you're checking the last digit of each number.
(5)

Tutu said:   5 months ago
How to know if we should take 1 or 70 to make 70 total numbers, like we could have written 13/68 to take a percentage?

Anyone, please explain.
(4)

Rohit said:   2 months ago
Why the no. '10' is not included? Please explain to me.
(4)

Rasheed nasar said:   4 years ago
Very helpful explanation, Thanks. @Tabi.
(3)

Kaviarasan said:   2 years ago
@All.

Here is my explanation for the answer.

Let's take initial values as 100%, which means initially the fruit seller had some apples, so I take that as 100%.

Now, if he sells 40% of his apples, he has 60% of the apples remaining.

So, in the question, they have already stated that the seller has 420 apples after selling 40%.

Thus, we have:
60% = 420.
100% = x.

To solve this expression:
x = (420×100)60x = 60(420×100)​.
x = 700x = 700.

Therefore, the answer is 700.
(3)

Creti said:   2 months ago
It's Very Easy:

Here, the numbers from 1 to 70 have 1 or 9.
In the units digit?

So, we have 1 to 70.

1 or 9 - here 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Here, 14 are there;
14/70 × 100.
14/7 × 10.
(140/7) = 20.

Here, the answer is 20
(3)

Basha said:   6 years ago
In every ten numbers, we have only two numbers that end with digits 1 or 9.
So b/w 1 to 70 we 14. (7*2 = 14).
Here 7 represents no of tens and 2 represents no of numbers that end with digit 1 or 9.
So, 14/70 * 100 = 20.
(2)

Gnanikrishna said:   6 years ago
What is the unit's digit? Please explain me.
(2)

Durai Arasan T S said:   6 years ago
Why don't we consider the 12, 13, 18 because it has 1 as a unit digit?
(2)


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