Answer:
SP is 2400
Final price with 10% VAT is 2640
The actual gain of retailer is 360
Explanation:
Given
Marked price of a jacket at dealer shop is 2400
The dealer alle discount of 15% to the retailer
The marked price of the retailer should be the same as dealer's marked price.
The SP should rate for the jacket without VAT 2400
Final price if 10% VAT is imposed
10% VAT on jacket price 2400 is x
![x=(2400)/(10)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k9bn92ekh66126eip4txc2t6srxizl1cps.png)
![x=240](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3esp73hgnny6r8y6etqgty4jwbtujca885.png)
The the final price including 10% VAT = 2400 + 240
Final price with 10% VAT = 2640
Actual gain of retailer
Given, The dealer alle discount of 15% to the retailer
So, The retailer gain profit is 15% on jacket price 2400
Therefore
Let x be the gain of retailer
![x=(15)/(100)*2400\\x=15*24\\x=360](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vhbr7bw4aesidhxwa8680n57cunu6hkiwp.png)
So, The actual gain of the retailer is 360
The SP should rate for the jacket without VAT 2400
Final price with 10% VAT = 2640
The actual gain of the retailer is 360