Q.

The cost price of a car is Rs.500000. The salesperson marks it 10% above the cost price. Then, the car is sold at a discount of 5%. The profit and profit percentages is {fill_ number}%


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Detailed Solution

Concept-
Let's assume that the car's selling price is S.P. and its cost price is C.P.
It is now established that the car's initial cost was Rs. 5000000, but the salesperson bumped it up by 10%. Thus, we have
The car's marked cost price is equal to 500000+ 10% of 500000.
The car's marked cost is equal to 500,000+ 10100×500,000.
The car's marked cost is equal to 500000  +50,000.
The car's marked cost is Rs. 550000.
Now, it is said that the car is being sold at a 5 percent discount. Thus, the selling price might be stated as follows:
S.P. equals 550000 - 5% of 550000
⇒ S.P = 550000 - 5100×550000        S.P = 550000 - 27500
⇒S.P = Rs.522500
In this instance, the salesperson purchased the vehicle for Rs. 500000 before marking the price of the vehicle as Rs. 550,000. Now, he sold the car for Rs. 522,500, or a discount of 5%. C.P. = Rs. 500000, then.
S.P. = Rs.522500
Profit, which we know to be the difference between S.P. and C.P., has led us to:
Profit is calculated as follows: S.P. - C.P., Rs. 522,500 - Rs. 500000, Rs. 22500.
Applying the formula for profit percent, we obtain the following results: Profit  at 100%; Profit percent = 22500500000at 100%; Profit percent = 4.5 percent.
Hence, the profit is therefore Rs. 22500, and the profit percentage is 4.5 percent.
 
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