Question

The cost price of 20 lamps is the same as the selling price of 16 lamps. Find the profit percent.

Answer 1

Given:

The cost price of 20 lamps is the same as the selling price of 16 lamps

To find:

The profit percent

Solution:

1) Cost price is the price at which the article is brought and selling price at which the article is sold

2)Let the Cost Price of the article is CP

Let the selling price of the article is SP

According to the question:

• 20CP = 16SP

• CP/SP = 16/20

• CP/SP = 4/5

So the CP is 4 and Sp is 5

3) Profit = SP-CP = 5-4 = 1

• Profit% = (Profit/CP).100

• Profit% = 1.100/4

• Profit % = 25%

The profit percent is 25%

Answer 2

Given:

The cost price of 20 lamps is the same as the selling price of 16 lamps

To find:

The profit percentage

Solution:

Let's assume the C.P. of 1 lamp = Re. 1

So,

The C.P. of 20 lamps = Rs. 20

and

The C.P. of 16 lamps = Rs. 16

According to the question, we have

S.P. of 16 lamps = C.P. of 20 lamps

⇒ S.P. of 16 lamps = Rs. 20

Now,

Profit earned on selling 16 lamps is,

= [S.P. of 16 lamps] - [C.P. of 16 lamps]

= Rs. 20 - Rs. 16

= Rs. 4

∴ Profit percentage = $\frac{Profit\:on\: 16\:lamps}{C.P.\:of\:16\:lamps}\times 100$ $= \frac{4}{16} \times 100 = \frac{1}{4} \times 100 = 25\%$

Thus, the profit percentage is 25%.

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