Explanation

Profit is divided in the ratio of (capital × time).

Given:

• Capital ratio A : B = 4 : 5
• Time: A = 9 months, B = 9 months

So time is same, only capital matters:

Profit ratio = 4 : 5

Total profit = 22000

Total parts = 4 + 5 = 9

A’s share:

4/9​×22000=9777.78≈9778

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

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

A’s 1 day work = 1/12

B’s 1 day work = 1/18

Combined work = 1/12 + 1/18

= (3 + 2) / 36 = 5/36

Time taken = 1 ÷ (5/36) = 36/5 = 7.2 days

Last verified on 10-05-2026

Explanation

Make B common in both ratios:

A:B = 2:3 → multiply by 4 → A:B = 8:12

B:C = 4:5 → multiply by 3 → B:C = 12:15

Now combine:

A:B:C = 8:12:15

Last verified on 10-05-2026

Explanation

Let present ages: father = 9k, son = 2k

After 12 years:  

father = 9k + 12  

son = 2k + 12  

Ratio = 3:1

So (9k + 12)/(2k + 12) = 3/1  

9k + 12 = 3(2k + 12)  

9k + 12 = 6k + 36  

9k - 6k = 36 - 12  

3k = 24  

k = 8

Present age of son = 2k = 2 × 8 = 16 years

Last verified on 10-05-2026

Explanation

a:b = 6:7 and b:c = 7:8  

Since b is 7 in both ratios, we can join them directly:  

a:b:c = 6:7:8  

So a:c = 6:8  

Simplify: 6:8 = 3:4

Last verified on 09-05-2026

Explanation

a : b = 5 : 6  

b : c = 2 : 3 = 6 : 9  

So a : b : c = 5 : 6 : 9  

Therefore a : c = 5 : 9  

Last verified on 08-05-2026

Explanation

Make b the same in both ratios:  

a : b = 4 : 5 = 12 : 15

b : c = 3 : 2 = 15 : 10

So a : b : c = 12 : 15 : 10

Therefore a : c = 12 : 10 = 6 : 5

Last verified on 07-05-2026

Explanation

a : b = 2 : 3

b : c = 3 : 4

Since the value for b is 3 in both, just chain them:  

a : b : c = 2 : 3 : 4

Last verified on 06-05-2026

Explanation

For 2x² - 3x + 1 = 0:  

Sum = 3/2, Product = 1/2  

Let roots be α, β. Then new roots are 1/α, 1/β  

New sum = 1/α + 1/β = (α + β)/αβ = (3/2) / (1/2) = 3  

New product = 1/αβ = 1/(1/2) = 2  

New equation: x² - (sum)x + product = x² - 3x + 2 = 0  

So a:b:c = 1:-3:2

Last verified on 06-05-2026