Question

Ram asks the labour to dig a well upto a depth of 10 metre. Labour charges are ₹ 150 for first metre and ₹ 50 for each subsequent metre. As labour was uneducated, he claims ₹ 550 for the whole work. What should be the actual amount to be paid to the labour? What value of Ram is depicted in the question if he pays ₹ 600 to the labourer?

Answer 1

Labour charges in ₹  for each subsequent metres are 150, 150+50, 150+2×50 ,150+3×50…...
₹ 150, ₹ 200, ₹ 250, ₹ 300….

Thus, amount of labour charges forms an AP.

Given: First term(a)= labour charge for first metre= ₹ 150
labour charge is increasing by ₹ 50 for a subsequent metres = d = 50
Total depth = 10 m

Labour charge for 10 metre depth= 150 + (10 - 1)d

[ an = a + (n-1)d]
= 150 +9d
= 150 + 9 × 50
= 150 + 450= 600

Hence, ₹ 600 should be paid to the labour.

If Ram pays ₹ 600 the labourer then it shows his honesty and sincerity.

HOPE THIS WILL HELP YOU....

Answer 2

$hay \: its \ \: ur \: answer \\ an = a + (n - 1)d \\ \\ 150 + 9d \\ \\ 150 + 9 \times 50 \\ \\ 150 + 450 = 600$
so he gives his rs by his honesty

I hope it's help you