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If the Wages of 6 Men for 15 Days be Rs 2100, then Find the Wages of 9 Men for 12 Days?

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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

  1. Men
  2. Days
  3. 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.

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