Explanation

Let's find the unknown value x using the proportion x : 5 :: 6 : 15.

We can set up the proportion as x/5 = 6/15.

Step 1: Cross-multiply

15x = 6 * 5

Step 2: Simplify

15x = 30

Step 3: Solve for x

x = 30 / 15

x = 2

Explanation

To increase 76 in the ratio 5:2, we need to multiply 76 by 5/2.

New value = 76 × 5/2

= 76 × 2.5

= 190

Explanation

Given:

3/4 of the police employees are not graduates.

This means:

1/4 of the police employees are graduates.

To find the ratio of graduates to non-graduate employees:

Graduates : Non-graduates = 1/4 : 3/4

Simplify the ratio:

Graduates : Non-graduates = 1 : 3

Explanation

6 persons working 8 hours a day earn Rs. 8400 per week.

First, let's calculate the total hours worked by 6 persons in a week:

6 persons x 8 hours/day x 7 days/week = 336 hours/week

Now, let's calculate the total amount earned per hour:

Rs. 8400 per week ÷ 336 hours/week = Rs. 25 per hour

Now, let's calculate the total hours worked by 9 persons in a week:

9 persons x 6 hours/day x 7 days/week = 378 hours/week

Finally, let's calculate the total amount earned by 9 persons in a week:

378 hours/week x Rs. 25 per hour = Rs. 9450 per week

So, the correct answer is: Rs. 9450

Explanation

To find the number, first, find the difference in the ratio:

9 - 7 = 2

Now, divide 224 by 7 and multiply by 9:

(224 ÷ 7) × 9 = 288

Explanation

Given a : b = 2 : 3 and b : c = 3 : 4

Since b is common in both ratios, we can directly combine the ratios:

a : b : c = 2 : 3 : 4

Explanation

current ratio = current assets (C.A)/ Current 

Liabilities (C.L) = 2/1 

s, CA = 2 CL

Now working capital = current assets (CA) minus Current Liabilities (C.L) = Rs 60000

So, C.A - C.L = 60000

2 C.L - CL = 60000

C.L = Rs. 60000

Now C.A = 2 x 60000

C.A = Rs. 120000

ND5-09-2023ma

Explanation

Ratio of boys to girls = 2:3

Number of boys = 12

Let's find the multiplier:

2x = 12

x = 6

Now, find the number of girls:

3x = 3 * 6

= 18

Explanation

a:b = 8:9, b:c = 6:5

Make b same:

a:b = 16:18, b:c = 18:15

So, a:b:c = 16:18:15

Explanation