Explanation

Explanation

The sum of all interior angles in any triangle is always 180 degrees.

A fundamental rule in Euclidean geometry, regardless of the triangle's shape (e.g., right, equilateral, scalene).

This property is known as the Angle Sum Property.

Last verified on 23-05-2026

Explanation

Sweets for children = 80 × 15 = 1200

Sweets for youngsters = 10 × 25 = 250

Total sweets = 1200 + 250 = 1450

Last updated question by NS on 11 May 2026

Explanation

Average of 8 persons = 12.5

So total weight:

$$8 times 12.5 = 100$$

One person of 18 kg is replaced by 10 kg:

New total:

$$100-18+10=92$$

New average:

$$92÷8=11.5$$

$$Last\; updated\; question\; NS\; on\; 10\; MAY\; 2026$$

Explanation

Ratio of boys : girls = 9 : 11

Total parts:

$$9+11=20$$

Total students = 80

Girls

$$frac{11}{20} times 80 = 44$$

$$Last\; updated\; question\; NS\; on\; 10\; MAY\; 2026$$

Explanation

Assume cost price = 100

Marked price = 25% above CP:

$$100+25=125$$

Discount = 10% on 125:

$$10\%\text{ of }125=12.5$$

Selling price:

$$125-12.5=112.5$$

Profit

$$112.5 - 100 = 12.5$$

$$Last\; updated\; question\; NS\; on\; 10\; MAY\; 2026$$

Explanation

Let original price = x

Step 1: Apply 25% discount

Discounted price =

$$x-25\%\text{ of }x=0.75x$$

Step 2: Apply tax (55% on discounted price)

Final price =

$$0.75x\times 1.55=1.1625x$$

Given final price = 1260

1.1625x=1260
x=1260​/1.1625=1083.87≈1084

Last updated question NS on 10 MAY 2026

Explanation

Let original number = 100

Step 1: Increase by 12%

$$100+12=112$$

Step 2: Decrease 112 by 12%

12% of 112=13.44
$$112-13.44=98.56$$

Step 3: Compare with original

Original = 100
Final = 98.56

Decrease =

$$100-98.56=1.44$$

Percentage change:

$$1.44\%$$

$$Last\; updated\; question\; NS\; on\; 10\; MAY\; 2026$$

Explanation

Ratio boys : girls = 9 : 11
Total students = 80

Total parts = 9 + 11 = 20

Each part = 80 ÷ 20 = 4

Girls = 11 parts:

$$11\times 4=44$$

$$Last\; updated\; question\; NS\; on\; 10\; MAY\; 2026$$

Explanation

• Actual weight = 900 g
• Charged weight = 1000 g

Profit = 100 g (extra charged)

Profit %=100/900​×100=11.11%

Last updated question by NA on 07 May 2026