Question

if the wages of 10 labours for 5 days are 6500 find the wages for 12 labours for 4 days
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Answer 1

This can be done by the arrow method

Refer the attachment for the table and arrows

NOTE: for each column the arrows are placed in relation with their proportionality with the wages column (since it contains the x). I'll show you how:-

[Keep the days constant for now] When labours are 10, wages = 6500 (direct variation, as labours will increase, total wages will also increase)

Thus when labours are 12, wages will be more. Therefore, for the column "labours", the sign of arrow is towards the greater number.

[Keep the labours constant for now] When days are 5, wages are 6500 (direct variation, as days will increase, total wages will also increase)

Thus when days are 4, wages will be less. Therefore, for the column "days", the sign or arrow is towards the greater number.

Also, note that for the column containing the x, the sign of arrow will always be towards the x.

Now starting with making the equation, the number containing the arrow head will be the numerator, and the other will be the denominator.

10/12 × 5/4 = x/6500

=> 10/12 × 5/4 × 6500 = x

=> x = ₹ 9750