Question

If the gain percent is 5%, then the ratio of CP to SP is


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Answer 1

Answer: let CP be x

              gain% = gain/CP × 100

              5% = gain/x × 100

              5x/100 = gain

              x/20 = gain

              gain = SP - CP

              x/20 = SP - x

              x/20 + x = SP

              21x/20 = SP

              CP/SP = x ÷ 21x/20

              CP : SP = 20 : 21

Answer 2

Answer:

Required ratio is 200:21

Step-by-step explanation:

Given,the gain percent is 5%.

Here we want to find ratio of CP to SP.

But first we need to find CP and SP for the solution of this problem.

Let CP be x rupees.

It is given that gain percent is 5%.

We know, cost price is always equal to 100%.

So, 100% means x rupees.

1% means $\frac{x}{100} \: rupees$

105% means

$\frac{105 \times \frac{x}{100} }{100} \\ = \frac{105 \times x}{100 \times 100} \\ = \frac{10.5x}{100} \: rupees$

So, selling price

$= \frac{10.5x}{100} \: rupees$

Ratio of cost price and selling price

$x \ratio \frac{10.5x}{100} \\ = 100x \ratio10.5x \\ = 100 \ratio10.5 \\ = 1000 \ratio105 \\ = 200 \ratio21$

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