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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.
