SSC CHSL 7 Jan 2017 Shift 3 Paper

Question : 59 of 100

Marks: +1, -0

If a merchant offers a discount of 25% on the list price, then he makes a loss of 5%. What % profit or % loss will he make if he sells at a discount of 10% of the list price?

5.5 percent loss
14 percent profit
50 percent profit
26 percent loss

Validate

Solution:

Let list price = Rs.100x
After 25% discount, selling price

={100-25}/100×100x=Rs.75x

Let Cost price =Rs.y
⇒ Loss %

={y-75x}/y×100=5

⇒

{y-75x}/y=5/100=1/20

⇒

20y-1500x=y

⇒

20y-y=1500x

⇒

y={1500x}/19≈79x

If discount = 10%, ⇒ Selling price =

{100-10}/100×100x=Rs.90x

∴ Profit % =

{90x-79x}/{79x}×100

=13.92 ≈ 14%

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