Explanation

0.009/x = 0.01

To isolate x, we can divide both sides by 0.009, which gives us:

1/x = 0.01/0.009

1/x = 1.111 (approximately)

Now, take the reciprocal of both sides:

x = 1/1.111

x ≈ 0.9

So, the value of x is approximately 0.9.

Explanation

To find the average, we need to add the numbers and divide by the total count of numbers.

First, let's add the numbers:

0 + 0 + 4 + 10 + 5 + 5 = 24

There are 6 numbers in the list. To find the average, divide the sum by 6:

24 ÷ 6 = 4

So, the average is 4.

Explanation

To find the percentage of the second number to the first, divide the second by the first and multiply by 100:

(1.2x / 1.6x) × 100 = (12/16) × 100 = 75%

Explanation

Let the smaller number be 3x and the larger number be 5x, since their ratio is 3:5.

When 9 is subtracted from each number, the new numbers are 3x - 9 and 5x - 9.

The ratio of these new numbers is 12:23, so we can set up the equation:

(3x - 9) / (5x - 9) = 12/23

Cross-multiplying and simplifying the equation, we get:

69x - 207 = 60x - 108

Solving for x, we get:

9x = 99

x = 11

So, the smaller number is 3x = 3(11) = 33.

Explanation

Explanation

According to question, Or, (2A/3)=(75B/100)=(C × 6/10); A × 2/3= B × 3/4;

⇒ A/B= 9/8; And, B × 3/4= C × 3/5;

⇒ B/C= 8 : 10; Thus, A : B : C= 9 : 8 : 10.

Explanation

Let the number be x

Then,

⇔34x−13x=60

⇔5x12=60

⇔x=(60×125

)⇔x= 144

Explanation

(X/100) × (25/2) = 150

To get rid of the fraction, multiply both sides by 2:

(X/100) × 25 = 300

Now, divide both sides by 25:

X/100 = 300/25

X/100 = 12

Multiply both sides by 100 to solve for X:

X = 1200

Explanation

Principal amount (P) = Rs. 12,500

Amount after 4 years (A) = Rs. 15,500

Time (T) = 4 years

Interest (I) = A - P = Rs. 15,500 - Rs. 12,500 = Rs. 3,000

Rate of interest (R) = (I / P) × (1 / T) × 100%

= (3,000 / 12,500) × (1 / 4) × 100%

= 6%

Explanation

Let's assume the maximum marks in each subject are 100. Then, the student's total marks in the three subjects are:

75 + 80 + 85 = 240

If the marks of another subject are added, the total marks become:

240 + x (where x is the marks obtained in the fourth subject)

The average percentage cannot be less than 60% because:

• If the student scores 0 in the fourth subject, the total marks would be 240, and the average percentage would be (240/400) x 100% = 60%.
• If the student scores any marks in the fourth subject, the average percentage would be higher than 60%.