Explanation

When there is a profit, the selling price (SP) is greater than the cost price (CP).

This means the seller sells the product for more than what it cost them to purchase or produce it, resulting in a profit.

Explanation

The cost price is the original price at which a product is purchased, excluding any markup or profit.

It represents the expense incurred by a seller to acquire the product before selling it to customers.

Explanation

 A line perpendicular to the y-axis is parallel to the x-axis and is often referred to in terms of its abscissa value.

Additional information:

The abscissa is the x-coordinate of a point in a Cartesian coordinate system, representing the distance along the x-axis.

The ordinate, on the other hand, is the y-coordinate, representing the distance along the y-axis.

Explanation

The number 2 is the smallest prime number.

It is the only even prime number.

A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself.

The first odd number is 1.

Explanation

2/7 = (2/7) x (100/100) = 200/7 = 28.57%

1/35 = (1/35) x (100/100) = 100/35 = 2.86%

Now, divide the percentage equivalent of 1/35 by the percentage equivalent of 2/7 and multiply by 100:

(2.86 ÷ 28.57) x 100 = 10%

So, 1/35 is 10% of 2/7.

The correct answer is: 10%

Explanation

The sum of five numbers is 555.

The average of the first two numbers is 75, so their sum is 2 x 75 = 150.

The third number is 115.

So, the sum of the first three numbers is 150 + 115 = 265.

Since the sum of all five numbers is 555, the sum of the last two numbers is 555 - 265 = 290.

Therefore, the average of the last two numbers is 290 / 2 = 145.

The correct answer is: 145

Explanation

To evaluate the expression 2^2n + 1, we need to follow the order of operations (PEMDAS):

Calculate the exponent: 2^2n = 2^(2*3) = 2^6

Calculate the value of 2^6: 2^6 = 64

Add 1 to the result: 64 + 1 = 65

Therefore, the correct answer is: 65

Explanation

Given expression = (3a + 2b) / (3a - 2b)

= [3(a/b) + 2] / [3(a/b) - 2]

= [3 x 1/3 + 2] / [3 x 1/3 - 2]

= 3 / -1

=-3

Explanation

⇒  Let total examines is x.

⇒  65% of total examines has passed. 

⇒  student failed =100%−65%=35%

Then, 35% of examines have failed.

⇒  Number of failures is 420

∴  35% of x=420

∴   35x/100 = 420

 x=(420 * 100)/35

∴  x=1200

Thus, Total number of examines are 1200.

Explanation

Given:

(x1 + x2 + x3 + x4) / 4 = 16

Multiply both sides by 4:

x1 + x2 + x3 + x4 = 64 ... (Equation 1)

Also, (x2 + x3 + x4) / 2 = 23

Multiply both sides by 2:

x2 + x3 + x4 = 46 ... (Equation 2)

Now, substitute Equation 2 into Equation 1: x1 + 46 = 64

Subtract 46 from both sides: x1 = 18

Therefore, the correct answer is: 18