Question

the difference between the selling price of a shirt sold at profit 15% and 17% is ₹3. Then find the cost price of the shirt

Answer 1

Step-by-step explanation:

The difference in two selling prices of t-shirt is due to different profits of the t-shirts

The selling price of t-shirt with 4% profit is CP+ 4 x CP / 100 = 104CP / 100  

 

The selling price of t-shirt with 5% profit is CP+ 5xCP/100 = 105CP/100

   

Difference is Rs.6

⟹ CP/100 = 6 => CP = 600

Cost price of T-shirt is Rs.600

Answer 2

The answer is ₹150.

Given: Difference between the selling price of an article at 15% and 17% profit = ₹ 3

To Find: Cost price of the shirt

Solution:

Let the cost price be ₹x.

∴ Selling price at 15% profit = x + 15% of x

                                          = x + $\frac{15x}{100}$

                                          = $\frac{100x + 15x }{100}$

                                          = $\frac{115x}{100}$

∴ Selling price at 17% profit = x + 17% of x

                                          = x + $\frac{17x}{100}$

                                          = $\frac{100x + 17x}{100}$

                                          = $\frac{117x}{100}$

According to the given sum,

$\frac{117x}{100} - \frac{115x}{100} = 3$

⇒ $\frac{117x - 115x}{100} = 3$

⇒ 117x - 115x = 3 × 100

⇒ 2x = 300

⇒ x = 150

∴ Cost price of the shirt = ₹150.

Answer: The cost price of the shirt is ₹150.

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