Explanation

The median of a set with an odd count (2n+1) is the (n+1)th position.

For the exact median in ordered data, we use (n+1)2 for calculation.

Explanation

Let's calculate the price of the printer after 3 years, considering an annual depreciation of 4%:

Year 1:

Depreciation = 4% of Rs. 150000 = Rs. 6000

Price after 1 year = Rs. 150000 - Rs. 6000 = Rs. 144000

Year 2:

Depreciation = 4% of Rs. 144000 = Rs. 5760

Price after 2 years = Rs. 144000 - Rs. 5760 = Rs. 138240

Year 3:

Depreciation = 4% of Rs. 138240 = Rs. 5529.60

Price after 3 years = Rs. 138240 - Rs. 5529.60 = Rs. 132710.40

Rounding to the nearest whole number, the price of the printer after 3 years is:

Rs. 132710

Explanation

1. Average income of A and B is 50000, so their total income is:

2 x 50000 = 100000

2. Average income of B and C is 60000, so their total income is:

2 x 60000 = 120000

3. Average income of A and C is 55000, so their total income is:

2 x 55000 = 110000
Now, let's analyze the situation:

- A's income + B's income = 100000 ... (1)

- B's income + C's income = 120000 ... (2)

- A's income + C's income = 110000 ... (3)

We can add (1) and (3), and subtract (2) from the result:
(100000 + 110000) - 120000 = 90000
Simplifying this, we get:
190000 - 120000 = 70000
Now, divide by 2:
70000 / 2 = 35000
Now, add B's income and C's income (equation 2):
35000 + C's income = 120000
Subtract 35000 from both sides:
C's income = 85000
Now, subtract C's income from equation (3):
A's income + 85000 = 110000
Subtract 85000 from both sides:
A's income = 25000
Now, subtract A's income from equation (1):
25000 + B's income = 100000
Subtract 25000 from both sides:
B's income = 75000 - 25000
B's income = 55000
So, B's income is 55000.

Explanation

- The player's average runs in 10 innings is 33, so the total runs scored by the player in 10 innings is:

33 x 10 = 330 runs

- To increase the average by 3, the new average will be:

33 + 3 = 36

- Since the player has already played 10 innings, the total number of innings now becomes 11 (including the next innings).

- Let x be the runs scored in the next innings. The new total runs will be:

330 + x

- The new average is 36, so we can set up the equation:

(330 + x) / 11 = 36

- Solve for x:

330 + x = 396
x = 66
So, the player needs to score 66 runs in the next innings to increase the average by 3.

Explanation

The average marks of four subjects is 120, so the total marks are:

120 x 4 = 480

If 33 was misread as 13, that means the actual total marks should be:

480 - 13 + 33 = 500

Now, let's calculate the correct average:

Correct average = Total marks / Number of subjects

= 500 / 4

= 125