HackerRank Ratio and Proportions Quiz- 1

As they together have 12 apples, each person gets a share of 4 apples. 

Daniel Craig took 4 apples as his share and paid 12 coins of the 4 apples. 

1 apple is given by Henry Cavill and 3 apples are given by  Ben Affleck. 

The ratio of apples of  Ben Affleck and Henry Cavill = 3 : 1.

They must be paid in that ratio i.e., 3 : 1.

Hence, the number of coins that  Ben Affleck should get = \frac{3\times 12}{4}

=9 coins

Let income of Katie Holmes and Keanu Reeves be 4x and 5x respectively

And Their expenditure is 2y and 3y respectively.

 According to question,

4x-2y=2000-----(i)

And,

5x-3y=2000-----(ii)

Solving (i) and (ii),we get

x=1000,

So income if Katie Holmes=4000 and Keanu Reeves =5000

No. of rows initially =24

And,

No. of trees in each row=42

If 12 more rows are added,then

Required number of trees = \frac{24}{36} \times 42 = 28 trees 

The initial ratio of  Donald Crisp and Thomas Mitchell is 3: 2

Increased salary of  Donald Crisp is 2: 3 that means if it was 2 then it becomes 3.

i.e., if it was 2, it becomes 3

Or, 1 becomes 3/2

But the  Donald Crisp's ratio was 3, so we have to calculate for 3

3 becomes \frac{3}{2} \times 3 = \frac{9}{2} = 4.5

Similarly, Thomas Mitchell’s increase is 3: 4

3 becomes 4

Or, 1 becomes 4/3

But the Thomas Mitchell's ratio was 2, so we have to calculate for 2

i.e., 2 become \frac{4}{3} \times  2 = \frac{8}{3} [/latex</span><br /> <br /> <span style="font-weight: 400;">That means if the old ratio of  Donald Crisp: B = 3: 2</span><br /> <br /> <span style="font-weight: 400;">Then the new ratio of  Donald Crisp: Thomas Mitchell = 4.5: \frac{8}{3}

So, the new ratio of  Donald Crisp: Thomas Mitchell = 13.5: 8

Now, the salary of Thomas Mitchell = (Thomas Mitchell's share/ Sum of ratios)* total salary

Hence, the salary of Thomas Mitchell = \frac{8}{21.5} \times 21500 = 8000

ATQ, income ratio of Channing Tatum:  Hugh Jackman: Adam Sandler= 3: 7: 4

Let the income of Channing Tatum:  Hugh Jackman: Adam Sandler= 3x, 7x, 4x

The income of Channing Tatum= 3x = 2400 (given in the question)

That means x = \frac{2400}{3} = 800

Now, the income of  Hugh Jackman= 7x = 7\times 800 = 5600

Similarly the income of Adam Sandler= 4x = 4\times 800 = 3200

Now,

Their expenditure is in the ratio of 4: 3: 5

So, let their expenditure is 4y, 3y, 5y

The expenditure of Channing Tatum= income of Channing Tatum- saving of Channing Tatum

Or, expenditure of Channing Tatum= 4y = 2400-300 = 2100

Or, y = \frac{2100}{4} = 525

Here 4y comes from expenditure's ratio

Similarly, the expenditure of  Hugh Jackman= 3y = 3\times 525 = 1575

The expenditure of Adam Sandler= 5y = 5\times 525 = 2625

Saving's of Adam Sandler= Income of Adam Sandler- Expenditure of Adam Sandler

Saving's of Adam Sandler= 3200- 2625 = 575

Let the car be rented for 8 hours or less.

Then the number of hours it is rented for \frac{800}{100}=8 hours

But if it charged Rs. 8 per km, the amount that should paid be 120(8) = 960

But he paid only Rs. 800

The car is rented for more than 8 hours

Number of hours =  \frac{800}{80}=10 hours

If it is charged at Rs. 6 per km, the amount that should be paid would be 120(6) = Rs. 720 which is less than s. 800

Daniel Radcliffe rented a car for 10 hours.

Let the income of

John Abraham  4x,

Jean Dujardin 7x

And expenditure be:

John Abraham  = 6y……..(i)

Jean Dujardin = 11y

John Abraham  spending = John Abraham’s earning – John Abraham’s savings

John Abraham’s expenditure = 4x-\frac{4x}{3}=\frac{8x}{3} .......(ii)

Equating (i) and (ii), we get

6y=\frac{8x}{3}

\frac{x}{y}=\frac{8}{9}

Required Ratio= \frac{4x – 6y}{7x – 11y}

= \frac{4x-(\frac{4x}{9})6}{7x-(\frac{4x}{9})11}

= \frac{36-24}{63-44}=\frac{12}{19}

Salary ratio of Andrew Garfield : Jeremy Renner = 5 : 7 and Jeremy Renner : Steve Carell = 3 : 5 so Andrew Garfield : Jeremy Renner : Steve Carell = 15 : 21 : 35 and Andrew Garfield : Steve Carell = 3 : 7

Salary (Andrew Garfield) = 165,000  so salary of (Steve Carell)

\frac{7}{3}\times 165000 =Rs. 385000

 

Steve Carell spends 28.56% on rent 

=> Steve Carell spends 2/7 on rent so remaining will be 5/7 of salary

  Remaining = \frac{5}{7} \times 385000 =Rs. 275000

Total money = 20 + 40 = 60

In this question the total money is given so we need to multiply the value of the coins in the ratio.

10 \times 0.10 x + 8 \times 0.25x + 9 \times 0.50x = 60

x + 2x + 4.5x = 60

7.5 x = 60

x = 8

Number of 50 paise coins = 9 \times 8 = 72

Ratio of monthly income and ratio of annual income will be the same,

1. 84 : 76 : 89