Question

the ratio of the cost of computer time and labor in developing a piece of software originally was 3:5 after the labour cost went up by 20% and the cost of computer time become 2/3rd of the original. the cost of software..?​

Answer 1

Answer:

135;33

3

1

%

Step-by-step explanation:

As per question,

Material : Labour : Overheads is 4:3:2

Then total cost =4+3+2=9

If cost of labour is Rs 45

Then, total cost =

3

9

×45=135

Profit on materiel180−135=45

Then, % of profit=

135

45

×100=33

3

1

%

Answer 2

Given,

• The ratio of cost of computer time and labour is 3:5

• Labour cost went 20% and cost of computer time reduced to 2/3rd.

To find,

The ratio of cost of computer time and labour

Solution,

Let the cost of the software be x.

Cost is added in the form of labour cost and computer time cost.

Fraction of labour cost in total cost = $\frac{5}{3 + 5} = \frac{5}{8}$

Fraction of computer time cost in total cost = $\frac{3}{3 + 5} = \frac{5}{8}$

Labour cost = $\frac{5}{8}x$

Computer time cost = $\frac{3}{8}x$

Now, when labour cost is increased by 20%, the new labour cost becomes

                  $= \frac{5}{8}x + \frac{20}{100}*\frac{5}{8}x\\= \frac{5}{8}x + \frac{1}{8}x\\= \frac{6}{8}x\\= \frac{3}{4}x$

The new computer time cost =  $\frac{3}{8}x*\frac{2}{3} = \frac{1}{4}x$

Ratio becomes = $\frac{\frac{1}{4}x }{\frac{3}{4}x } = \frac{1}{3} = 1:3$

Therefore, the new ratio of cost of computer time to labour is 1:3.