A laptop seller sells some laptops in such a way that selling price of

1.	A laptop seller sells some laptops in such a way that selling price of 36 laptops is the same as the cost price of 30 laptops. So the percentage of gain or loss is:1. \(16{{2} \over 3}\)% Loss2. 20% Gain3. \(16{{2} \over 3}\)% Profit4. 20% Loss
Answer» Correct Answer - Option 1 : \(16{{2} \over 3}\)% Loss Given: SP of 36 laptops = CP of 30 laptops Formula used: P = S.P. – C.P. L = C.P. – S.P. P% = (P/C.P.) × 100 L% = (L/C.P.) × 100 Where, P → Profit L → Loss SP → Selling price CP → Cost price Calculations: Let the CP of 1 laptop be Rs.y and its SP be Rs.x. So the SP of 36 laptops = 36x And the CP of 30 laptops = 30y According to the question, 36x = 30y ⇒ x ∶ y = 5 ∶ 6 Now let x and y be 5k and 6k respectively. Since x < y So L = 6k – 5k = k L% = (L/CP) × 100 ⇒ L% = (k/6k) × 100 = \(16{{2} \over 3}\)% ∴ The required Loss% is \(16{{2} \over 3}\)%.

A laptop seller sells some laptops in such a way that selling price of 36 laptops is the same as the cost price of 30 laptops. So the percentage of gain or loss is:1. \(16{{2} \over 3}\)% Loss2. 20% Gain3. \(16{{2} \over 3}\)% Profit4. 20% Loss

Answer» Correct Answer - Option 1 : \(16{{2} \over 3}\)% Loss

Given:

SP of 36 laptops = CP of 30 laptops

Formula used:

P = S.P. – C.P.

L = C.P. – S.P.

P% = (P/C.P.) × 100

L% = (L/C.P.) × 100

Where,

P → Profit

L → Loss

SP → Selling price

CP → Cost price

Calculations:

Let the CP of 1 laptop be Rs.y and its SP be Rs.x.

So the SP of 36 laptops = 36x

And the CP of 30 laptops = 30y

According to the question,

36x = 30y

⇒ x ∶ y = 5 ∶ 6

Now let x and y be 5k and 6k respectively.

Since x < y

So L = 6k – 5k = k

L% = (L/CP) × 100

⇒ L% = (k/6k) × 100 = \(16{{2} \over 3}\)%

∴ The required Loss% is \(16{{2} \over 3}\)%.

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