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## Explanation

- If the wages of 6 men for 15 days be Rs 2100.
- The wages of 9 men for 12 days can be figure out in this way.

Three given entities here are

- Men
- Days
- Wages

To determine the relation here, let suppose wages of 9 men for 12 days = y

**Case I**

Men Wages

6 2100

9 y

- Wages increases as men increases.
- Wages decreases as men decreases.

This clearly indicates that there is direct relation.

Direct/Indirect relation tells how the equation will be written.

6 : 9 :: 2100 : y ________ (i)

**Case II**

Days Wages

15 2100

12 y

- Wages increases as the days increases.
- Wages decreases as the days decreases.

This clearly indicates that there is direct relation.

Direct/Indirect relation tells how the equation will be written.

15 : 12 :: 2100 : y ________ (ii)

By (i) and (ii)

6 : 9 :: 2100 : y

15 : 12

9 x 12 x 2100 = 6 x 15 x y ________ (A)

## To Find

Wages of 9 men for 12 days = ?

## Solution

**Method I**

Let suppose wages of 9 men for 12 days = y

Men Days Wages

6 15 2100

9 12 y

Relation between men and wages & days and wages is direct so;

6 : 9 :: 2100 : y

15 : 12

9 x 12 x 2100 = 6 x 15 x y

226800 = 90y

y = 226800/90

y = 2520

**Wages of 9 men for 12 days = Rs. 2520 answer**

**Method II**

Wages of 6 men for 15 days = Rs. 2100

Wages of 6 men for 1 day = 2100/15

Wages of 6 men for 1 day = Rs. 140

Wage of 1 man for 1 day = 140/6

Wage of 1 man for 1 day = Rs. 23.33

Wages of 9 men for 1 day = 23.33 x 9

Wages of 9 men for 1 day = Rs. 210

Wages of 9 men for 12 days = 210 x 12

Wages of 9 men for 12 days = Rs. 2520

**Wages of 9 men for 12 days = Rs. 2520 answer**

## Conclusion

If the wages of 6 men for 15 days be Rs 2100, then the wages of 9 men for 12 days will be Rs. 2520.