Explanation

Total work = 10 × 14 = 140 person-days

Days needed by 4 persons = 140 ÷ 4 = 35 days.

Last verified on 01-02-2026

Explanation

Explanation

Given:

• Original price of car = $800,000

• Duty increases price in the ratio 9:8 (after:before)

  
  

  Step 1: Understand the ratio

The ratio 9:8 means:

$$\text{New Price}:\text{Original Price}=9:8$$

So the new price $P_{text{new}}$ is:

Pnew​=9​/8×Original Price

Step 2: Substitute the values

Pnew​=9/8​×800,000
Pnew​=9×100,000=900,000

Explanation

Last year income ratio: A:B:C = 3:4:5 = 12:16:20

Last year : Current year income ratio:

A = 4:5

B = 2:3

C = 3:4

Current income ratio:

A:B:C = (12/4 × 5) : (16/2 × 3) : (20/3 × 4)

= 15 : 24 : 80/3

= 45 : 72 : 80

Total = 45 + 72 + 80 = 197 parts

A's current income = (45/197) × 98500

= 22500

Last verified on 17-01-2026

Explanation

A's rate = 1/20 job/min

B's rate = 1/30 job/min

Together rate = 1/20 + 1/30

= (3+2)/60

= 1/12 job/min

Time = 1 / (1/12) = 12 minutes

Explanation

4 workers finish in 6 days

1 worker will finish in 4 × 6 = 24 days

3 workers will finish in 24/3 = 8 days

Explanation

Distance is directly proportional to speed when time is constant (12 : 9 = 4 : 3).

Solving the ratio gives the original distance as 30 km, so the increased distance is 30 + 10 = 40 km.

Explanation

Work done by 40 men in 40 days = 1/3 of total work

Total work = 3 × (40 × 40) = 4800 man-days

Remaining work = 2/3 of total work = 3200 man-days

Time left = 50 days

Men required = 3200 ÷ 50 = 64 men

Additional men needed = 64 − 40 = 24 men

Therefore, 24 more men are required.

Explanation

Let the numbers be x, 2x, 3x.

Product = x × 2x × 3x = 6x³ = 750

x³ = 750/6 = 125

x = ∛125 = 5

Numbers are 5, 10, 15.

Highest number = 3x = 15

Explanation

45 minutes is ¾ of 1 hour, so the ratio is ¾.

Similarly, ¾ of 30 seconds = 22.5 seconds.