Home » Aptitude » Profit and Loss » Question
  1. A man sells his typewriter at 5% loss. If he sells it for $ 80 more, he will gain 5%. The cost price of the typewriter is
    1. $ 1,600
    2. $ 1,200
    3. $ 1,000
    4. $ 800
Correct Option: D

Let the CP of the typewriter be $ y.

At 5% loss, SP =
95y
100

Now,
95y
+ 80 =
105y
100100

105y
-
95y
= 80
100100

105y - 95y
= 80
100

⇒ y =
8000
= $ 800
10

Second method to solve this question :
Here, a = 5%, R = 80, b = 5%
C.P. =
R × 100
b + a

C.P. =
80 × 100
= $ 800
5 + 5



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