# if 4/5 of a number is 15 more than its 75%, then what is 40% of that number?

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## [Solved] If 75% of 4/5 of a number is 54, then the number is

Let, the number is ‘X’ (4/5) of the number is = (4/5) × X ∴ 75% of 4/5 of the number is = 0.75 ×(4/5) × X Given, 75% of

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## Question

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## If 75% of 4/5 of a number is 54, then the number is

80 120 90 100

## Answer (Detailed Solution Below)

Option 3 : 90

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## Detailed Solution

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Let, the number is ‘X’

(4/5) of the number is = (4/5) × X

∴ 75% of 4/5 of the number is = 0.75 ×(4/5) × X

Given, 75% of 4/5 of a number is 54

∴ 0.75 ×(4/5) × X = 54

⇒ X = 270/3 = 90

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## If the difference between 75% of a number and 4/5 if of that number is 40 then what is the number?

Answer (1 of 8): Let’s say that the unknown number is “x”. 4/5=80% or 0.8x. 75% is 0.75x. The question goes thus: 0.8 x-0.75 x=40 or x(0.8–0.75)=40; x=40/0.05; Multiplying numerator and denominator by 100 to get a non decimal denominator, we get x=4000/5 or x=800 You can also do fractions i...

If the difference between 75% of a number and 4/5 if of that number is 40 then what is the number?

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Sort Shivangi Tripathi 3y

Let the Number be x so,

4/5*x - 75% *x = 40

4/5x - 75/100*x = 40

4/5*x - 3/4*x = 40 x/20 = 40 x = 800

so the answer is 800

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Muthu Kumar IT guy3y The number is 800. 75% of 800 is 600 4/5 of 800 is 640

So difference is 40.

How? Here it is

(4/5)X - 75% of X = 40

(4/5)X - (75/100)X = 40

X(4/5 - 3/4) = 40 X(16–15/20) = 40 X = 40*20 X = 800 Animesh Sharma

Former Deck Cadet 3y

4/ 5 is 80 percnt.

80%-75%=5% which is given as 40

5% is 40 dan 100% will be( 100×40)/5=800

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Abdul Ahad

Studied Mathematics & Scientific Research (Graduated 2021)3y

75 % of a number is 0.75x

(4/5) of a number is 0.8x

The difference of number is

0.8x - 0.75x = 40 0.05x = 40 x = 800

So the number is 800.

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Manish

The Maths :)Author has 92 answers and 147.3K answer views3y

Let’s say that the unknown number is “x”. 4/5=80% or 0.8x. 75% is 0.75x.

The question goes thus:

0.8 x-0.75 x=40 or x(0.8–0.75)=40; x=40/0.05;

Multiplying numerator and denominator by 100 to get a non decimal denominator, we get x=4000/5 or x=800

You can also do fractions if you don’t care for decimal points.

4/5x-3/4x=40 (since 7%% is 3/4)

x(4/5–3/4)=40; x (1/20)=40; x=40*20=800 Goutam Dutta

Former Sr Supervisor at Indian Railways CLW (1980–2017)Author has 71 answers and 22.5K answer views3y

4/5part=80%of the number.

80%-75%=40 Or,5%=40 Hence100%=800.

So, the number is 800.

Chandresh Kothari

Worked at Government of Gujarat (1979–2018)Author has 309 answers and 324.3K answer views3y

800 4/5 is 80%,

Differencr between 80%-& 75%=(80–75)=5%

5% is 40

so 100% will be (40×100/5)=800

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Walter Wambu

Former Principal Navigation Aids Inspector3y

Let the number be X,

4/5 of X = X . 4/5 x 100 = 80%

80% - 75% = 5% X . 5 % = 40

X =( 100 /5) x 40 =800

The answer is 800. Carl Bryan

B.S. in Mathematics, Carnegie Mellon University (Graduated 1972)Author has 3.3K answers and 3.6M answer views3y

Related

The difference between 4/5 of a number and 45% of the number is 56. What is 65% of the number?

Vasanth Janakiraman

Tech Lead at Cognizant (company) (2017–present)8y

Related

68 is 1/4 of what number?

Click Windows + R

In the Run Window, type 'calc'(Case Insensitive)

And do as given in the following screen shots

Type 68 * 4

And press =

P.S: Dude seriously, you and me have way too much free time don't we..

Pranet Sharma

Studied at Fiitjee Punjabi Bagh New Delhi5y

Related

Sixty-five percent of a number is 21 less than 4/5 of that number. What is the number?

We are given that 65% of x = 4/5 × (x) - 21

So' 65/100 * x = 4/5 * x - 21

65x/20 = 4x -105 65x = 80x - 2100 15x = 2100 x = 2100/15 x = 140

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## If 15% of 40 is greater than 25% of a number by 2 , the number is

Click here👆to get an answer to your question ✍️ If 15% of 40 is greater than 25% of a number by 2 , the number is

Question

## If 15% of 40 is greater than 25% of a number by 2, the number is

**A**

## 14

**B**

## 16

**C**

## 18

**D**

## 20

Medium Open in App Solution Verified by Toppr

Correct option is B)

⇒ Let the number be x. Then, according to question⇒ 100 15 ×40− 100 25 ×x=2 ⇒ 20 3 ×40− 4 1 ×x=2 ⇒ 6− 4 x =2 ⇒ 4 24−x =2 ⇒ 24−x=8 ⇒ x=16

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