### TANCET 2008 - Past year paper: Word Problems, Framing equations: Ascent Education TANCET MBA Classes

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# TANCET 2008 Quant Question 8 : Framing Expressions

## Question

It costs Rs. x each to make the first thousand copies of a compact disk and Rs. y to make each subsequent copy. If z is greater than 1,000, how many Rupees will it cost to make z copies of the compact disk?
1. 1,000 x + yz
2. zx - zy
3. 1,000 (z - x) + xy
4. 1,000 (z - y) + xz
5. 1,000 (x - y) + yz
Correct Answer: 1,000 (x - y) + yz. Choice (5)

We need to find the total cost to make z copies, z > 1000.

The first 1000 copies will cost Rs.x each. Or the total cost of first 1000 copies = Rs.1000x
The remaining z - 1000 copies will cost Rs.y each.
Or the cost of the z - 1000 = Rs.(z - 1000)y

Therefore, total cost = 1000x + zy - 1000y
= 1000(x - y) + yz

Level of difficulty : Easy

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