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A photocopy store charges Rs. 1.50 per copy for the first 10 copies and Rs. 1.00 per copy after the 10th copy. Let $x$ be the number of copies, and let $y$ be the total cost of photocopying. Find the cost of making 40 copies.

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Rs. 30

Rs. 40

Rs. 50

Rs. 45

answer is D.

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Detailed Solution

Concept- In this question we will compare the quantities and be applying formula and basic concepts in used mathematics.
We will first see the value of y in terms of x for various ranges of

x

, such as for the first 10 values of

x

varying from

0 < x

less than or equal to 10. The value of y will be

1.5 x

as it is mentioned that the rate for first 10 copies is

Rs . 1.50

per copy. Now for the remaining copies, after removing

10

copies from

x

copies, we get (

x - 10

) copies. We will apply the rate of

Rs . 1.00

for all the copies after the

10 th

copy. So, for

x > 10

, the function
of y will be,

(1.5 \times 10) + (1) (x - 10) = 15 + x - 10 = (5 + x)

. Hence, we can write it as,

y = {Rs . 1.5 x, 0 < x \leq 10 Rs . (5 + x), x > 10}

So, the cost for 10 copies will be

10 \times 1.5 = Rs . 15

Therefore, the required cost of next 30
is

30 \times 1 = Rs . 30

.
Therefore, the cost of making copies is

Rs . 15 + Rs . 30 = Rs . 45

.
Hence, the correct option is 4.

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