Answer: Option B. -> \(16\frac{2}{3}\)%

Answer: Option B. -> 10%

Gain Percentage = (Gain/Cost price) × 100

Given,
Selling Price of 11 articles = Selling Price of 1 article

Let,
Selling Price of 1 article = S

Then, Selling Price of 11 articles = 11S

Cost Price of 1 article = C

Then, Cost Price of 11 articles = 11C

Gain = Selling Price of 11 articles – Cost Price of 11 articles
= 11S – 11C

Gain Percentage = (Gain/Cost price) × 100
= (11S – 11C)/11C × 100
= (11S/11C – 1) × 100
= (S/C – 1) × 100
= (S – C)/C × 100
= (S – C)/C × 100
= (S/C – 1) × 100
= 10%

Therefore, the gain % is 10%.

If you think the solution is wrong then please provide your own solution below in the comments section .

Answer: Option B. -> 25%

Answer: Option B. -> 8%

Answer: Option B. -> Rs 2200

Answer: Option D. -> Gain 9 %

Answer: Option A. -> 1.15 % increase

Let the width of the rectangle be 'w' and the length be 'l'.
Before the changes, the area of the rectangle = w x l
After the changes, the length of the rectangle is increased by 12.5%, i.e. l' = 1.125l
The width of the rectangle is decreased by 10%, i.e. w' = 0.9w
Therefore, the area of the rectangle after the changes = w' x l'
= 0.9w x 1.125l
= 1.0125wl
Change in the area of the rectangle = (1.0125wl - wl) / wl
= 0.0125
Percentage change in the area of the rectangle = 0.0125 x 100
= 1.15 % Increase

Explanation:
• Area of a rectangle = Length x Width
• The length of the rectangle is increased by 12.5% and the width is decreased by 10%
• Therefore, the Area of the rectangle after the changes = 0.9w x 1.125l
• Change in the area of the rectangle = (1.0125wl - wl) / wl
• Percentage change in the area of the rectangle = 0.0125 x 100 = 1.15 % Increase

If you think the solution is wrong then please provide your own solution below in the comments section .

Answer: Option C. -> 20 % increase

Answer: Option C. ->  Rs 480
Given:

• The article was sold at a loss of 5%. This means the selling price was 95% of the cost price.
• If it were sold for Rs 30 more, the gain would have been 1.25%. This means the selling price would have been 101.25% of the cost price.

Using these two pieces of information, we can form two equations:
0.95x = SP1 (Equation 1)1.0125x = SP2 (Equation 2)
where SP1 is the selling price in the first case (sold at a loss of 5%) and SP2 is the selling price in the second case (if sold for Rs 30 more).
We need to find the value of x, which is the cost price of the article.
To solve for x, we can use the following steps:

• From Equation 1, we can express x in terms of SP1:

x = SP1 / 0.95

• Substitute the value of x from step 1 into Equation 2:

SP2 = 1.0125 * (SP1 / 0.95)

• Simplify Equation 2:

SP2 = (1.0125 / 0.95) * SP1

• We also know that the difference between the two selling prices is Rs 30:

SP2 - SP1 = 30

• Substitute the value of SP2 from step 3 into Equation 4:

(1.0125 / 0.95) * SP1 - SP1 = 30

• Simplify Equation 5:

SP1 = 456

• Substitute the value of SP1 into Equation 1 to find x:

x = SP1 / 0.95 = 480
Therefore, the cost price of the article is Rs 480.
Answer: Option C Rs 480If you think the solution is wrong then please provide your own solution below in the comments section .

Answer: Option A. -> Rs 180