Explanation

Let the number be x.  

x - 0.4x = 30 → 0.6x = 30 → x = 30 ÷ 0.6 = 50  

Explanation

25% of Rs. 1600 = 0.25 × 1600 = Rs. 400  

5% of Rs. 400 = 0.05 × 400 = Rs. 20  

Explanation

15% of 40 = 0.15 × 40 = 6  

Let the number be x.  

6 = 0.25x + 2 → 6 - 2 = 0.25x → 4 = 0.25x → x = 16  

Explanation

Let the number be x.  

200% of x = 140 → 2x = 140 → x = 70  

160% of x = 1.6 × 70 = 112  

Explanation

Step 1: Division  

13937.869 ÷ 199.54 ≈ 69.84

Step 2: Percentage  

15% of 201 = (15/100) × 201 = 30.15

Step 3: Add both results  

69.84 + 30.15 = 99.99 ≈ 100

Explanation

Let new consumption = x kg  

Price increases by 32%, so new price = 1.32 × old price  

Expenditure increases by 10%, so:  

New price × new consumption = 1.10 × old price × old consumption  

1.32 × x = 1.10 × 10  

x = (1.10 × 10) ÷ 1.32 = 11 ÷ 1.32 ≈ 8.33 kg

Explanation

63% = 63/100  

So, (63/100) × (25/7) = (63 × 25) / (100 × 7)  

= 1575 / 700  

= 2.25  

Explanation

Let's say the number is x:

0.4x + 240 = x

240 = x - 0.4x

240 = 0.6x

x = 240 / 0.6

x = 400

Explanation

Loss = Marked Price - Selling Price = 800 - 560 = 240

Loss % = (Loss / Marked Price) × 100

= (240 / 800) × 100

= 30%

Explanation

60% of 90 = 0.6 × 90 = 54

50% of 80 = 0.5 × 80 = 40

54 - 40 = 14