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)

Explanatory Answers

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

---

More Questions on Linear, Quadratic and Cubic Equations - Algebra

CAT, XAT, TANCET Practice Questions and Answers : Listed Topicwise

Number Theory		Permutation Combination		Probability		Inequalities
Geometry		Mensuration		Trigonometry		Coordinate Geometry
Percentages		Profit Loss		Ratio Proportion		Mixtures Alligation
Speed Time Distance		Pipes Cisterns		Interest		Races
Average, Mean		AP, GP, HP		Set Theory		Clocks Calendars
Algebra		Function		English Grammar		General Awareness
Data sufficiency		TANCET Papers		XAT Papers