Question

A dishonest dealer sells articles at a 10% loss on cost price but uses the weight of 16 g instead of 18 g. What is his profit or loss percent?
1. (4/5)%
2. (6/5)%
3. (7/6)%
4. (5/4)%

Answer 1

Correct Answer - Option 4 : (5/4)%

Given:

Loss % (a) = 10%

False weight = 16 g

True weight = 18 g

Formula Used:

S.P = C.P × (100 – L%)/100

P = S.P – C.P

P% = (P/C.P) × 100

Where,

S.P → Selling price

C.P → Cost price

P% → Profit %

L% → Loss %

Calculations:

Let the C.P of 18 gm = 100x

So, C.P of 16 gm = (100x/18) × 16 = 800x/9

S.P of 16 gm = 100x × 90/100 = 90x

Profit = 90x – 800x/9

⇒ (810x – 800x)/9 = 10x/9

Profit % = ((10x/9) ÷ (800x/9)) × 100 = (5/4)%

∴ The profit percent is (5/4)%.