TANCET 2008 Quant Question 8 : Framing Expressions
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?
- 1,000 x + yz
- zx - zy
- 1,000 (z - x) + xy
- 1,000 (z - y) + xz
- 1,000 (x - y) + yz
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
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