A wholeseller sells a jacket to a retailer at a profit of 5% and the retailer sells it to a customer at a profit of 10%. If the customer pays ₹4,158 for the jacket, then what was the cost price of the jacket for the wholesaler ?

₹3,600

Let the cost price for the wholeseller = 100R

Profit = 5%

Then the cost price for the retailer = 100R × \(\frac{105}{100}\) = 105R

Retailer earns 10% profit then the cost price for the customer = 105R x \(\frac{110}{100}\)

Now, according to the question,

The customer pays ₹4,158

⇒ 105R x \(\frac{110}{100}\)  = Rs.4158

⇒ 1R = Rs.4158 x \(\frac{100}{110\;×\;105}\)

⇒ Cost price of the jacket for the wholesaler = 100R = Rs.4158 x \(\frac{10}{11 × 105}\) x 100 = Rs.3600