SSC CHSL 9 Jan 2017 Shift 3 Paper

Question : 68 of 100

Marks: +1, -0

If a merchant offers a discount of 4% on the list price, then she makes a loss of 10%. What % profit or % loss will she make if she sells at a discount of 20% of the list price?

25 percent loss
4 percent loss
50 percent profit
26 percent profit

Validate

Solution:

Let list price = Rs. 100x
After 4% discount, selling price =

96/100 ×100x =Rs.96x

Let Cost price = Rs. y
⇒ Loss % =

{y−96x}/y×100 = 10

⇒

10y − 960x = y

⇒

10y − y = 960x

⇒

y = {960x}/9 =106.67x

If discount = 20%, ⇒ Selling price =

80/100 ×100x = Rs.80x

∴ Loss % =

{106.67x−80x}/{106.67x}×100

≈ 25%

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