Explanation

Explanation

Given:

• Cost Price (C.P.) = Rs. 1000

• Selling Price (S.P.) = Rs. 800

Step 1: Calculate Loss

$$text{Loss} = text{C.P.} - text{S.P.} = 1000 - 800 = text{Rs. 200}$$

Step 2: Calculate Loss Percentage

$$text{Loss$$1000​)×100=20%

Explanation

Given:

Dishwasher washes 12 dishes in 6 minutes

Time = 3 hours = 180 minutes

Step 1: Dishes per minute

12 dishes / 6 minutes = 2 dishes per minute

Step 2: Total dishes in 180 minutes

2 × 180 = 360 dishes

Explanation

Explanation

Explanation

Given:

• SI (Simple Interest) = 81

• P (Principal) = 450

• R (Rate) = 5%

• Time (T) = ?

Using the formula:

$$SI = frac{P times R times T}{100}$$

Substituting the values:

$$81 = frac{450 times 5 times T}{100}$$ $$81 = frac{2250 times T}{100}$$ $$81 = 22.5 times T$$ $$T = frac{81}{22.5}$$ $$T = 3.6 text{years}$$

Explanation

=56 - 3 + 7 - 5.1

=53 + 7 - 5.1

=60 - 5.1

= 54.9

Explanation

 We know A + B = 12.

We also know A + B + C = 8.

Substitute the value of A + B into the second equation: 12 + C = 8.

Solve for C: C = 8 - 12 = -4.

Explanation

${x^}^2+18x+81=0$:

• The first term is x^2, so $a=x$.
• The last term is 81, so ${b^}^2=81$, which means $b=9$ (we take the positive root since the middle term is positive).
• The middle term is 18x. Let's check if it matches 2ab: $2(x)(9)=18x$. It does.

Therefore, the quadratic expression ${x^}^2+18x+81$ can be factored into $(x+9{)^}^2$.

So the factor form of the equation ${x^}^2+18x+81=0$ is $(x+9{)^}^2=0$.

Explanation

 Calculate the discount amount:

Original Price - Selling Price = Discount

$1500 - $1200 = $300

Calculate the discount percentage:

(Discount / Original Price) * 100%

($300 / $1500) * 100%

0.20 * 100% = 20%