Explanation

25 percent *3500. = (25/100)*3500. = (25*3500)/100. = 87500/100 = 875.

AGM 07.5.23

Explanation

A car uses 30 litres of petrol to cover a distance of 375 Km

So, the car covers the distance in 1 liter =30375​=12.5 Km 

Suppose that X liters will be needed to cover a distance of 1200 Km then,

X=12.51200​=96 liters.

Hence, this is the required solution.

Explanation

Divide 105 by 7 =15

in 2 rows 15+15=30

Explanation

Given that,
C.P = ₹ 4000
S.P = ₹ 5000
As, S.P > C.P,
Profit = S.P - C.P
= ₹(5000 - 4000)
= ₹ 1000

$\therefore \frac{Profit}{C.P}=\frac{ProfitPercent}{100}$

$\frac{1000}{4000}=\frac{ProfitPercent}{100}=25\%$
Hence, the profit percentage is 25%.

Explanation

The area of the circle with radius 10 cm is A₁ = π(10)² = 100π cm².

The area of the circle with radius 10.1 cm is A₂ = π(10.1)² = 102.01π cm².

The percentage change in area is:

((A₂ - A₁) / A₁) × 100%

= ((102.01π - 100π) / 100π) × 100%

= (2.01 / 100) × 100%

= 4%

So, the percentage change in the area is 4%.

Explanation

Normal price = Sale price + Amount saved

= 150 + 50

= 200

Discount percentage = (Amount saved / Normal price) × 100

= (50 / 200) × 100

= 25%

Explanation

Total cost of items = Rs. 25

Tax amount = 30 paise = Rs. 0.30

Tax rate = 6%

Let's find the cost of the taxable items:

Tax amount = 6% of taxable items

0.30 = (6/100) × taxable items

Taxable items = 0.30 × (100/6) = Rs. 5

Now, let's find the cost of the tax-free items:

Cost of tax-free items = Total cost - Taxable items - Tax amount

= 25 - 5 - 0.30

= Rs. 19.70

Explanation

Let's denote the original price as x.

Given:

Discount = 30%

Sale price = Rs. 140

Formula:

Sale price = Original price - Discount

Sale price = x - (30% of x)

140 = x - 0.3x

140 = 0.7x

x = 140 / 0.7

x = 200

Explanation

Let's break it down:

Original price per kg = Rs. 200

Increased price per kg = 200 + (25% of 200) = 200 + 50 = Rs. 250

To keep expenditure the same, let's assume original consumption is 1 kg, and new consumption is x kg.

Original expenditure = 200 * 1 = Rs. 200

New expenditure = 250 * x = Rs. 200

x = 200 / 250 = 0.8 kg

Percentage decrease in consumption = ((1 - 0.8) / 1) * 100% = 20%

Explanation

Net percentage increase in Population = (2.5 - 0.5) = 2% each year.

Let the Original Population of the town be 100.

Population of Town after 1 year = (100 + 2% of 100) = 102.

Population of the town after 2nd year = (102 + 2% of 102 ) = 104.04

Now, % increase in population = 4.04 / 100 ×100 = 4.04%