Question

In boring a well 50 m deep, the costis Rs 100/- for first meter, The cost of each successive meter increased
Rs.50/- What is the cost of boring the entire well?
​

Answer 1

Step-by-step explanation:

= 50 * 50 * 100

= 500 * 50

= 25000 Rs.

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Answer 2

Cost of boring the entire well = 66250 /-

Given:

• In boring a well 50 m deep, the cost is Rs 100/- for first meter.
• The cost of each successive meter increased  Rs.50/-

To find:

    Cost of boring the entire well?

Formula used:

$\text{n}^\text{t}^\text{h}$ term of arithmetic prorogation = A + (n-1)×d

Sum of $\text{n}^\text{t}^\text{h}$ term of arithmetic prorogation = $\frac{\text{n}}{2} \text{ (A+L)}$

Were, A = First term

          d = Common difference

          n = No. of term

          L = Last term

​Explanation:

Boring a well is 50 m deep.

The cost is Rs 100/- for first meter.

From given information :

The cost of second meter digging = 150/-

The cost of third meter digging = 200/- and so on...... up to 50 meter digging

The series is 100,150,200, 250 so on up to 50th term.

And this is an arithmetic prorogation,

 A = 100    

d = common difference

   = 150-100

d = 50

50th term =  A + (n-1)×d

                 = 100+(50-1)×50

                 = 2550

50th term is last term

Sum of $\text{n}^\text{t}^\text{h}$ term = $\frac{\text{n}}{2} \text{ (A+L)}$      

                          = $\frac{\text{n}}{2} (100+2550)$

Sum of $\text{n}^\text{t}^\text{h}$ term = 66250 /-

Therefore, the cost of boring the entire well is 66250 /-

To learn more....

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