Riya sold her car for 50000 less than what she bought it for and lost 8% at what price should she have sold her car, if she wanted to gain as much as she lost in the first transaction ?

A. 625000

B. 650000

C. 675000

D. 637000

E . 670000

Answer : C. 675000

Explanation :

Let Riya bought the car at Rs. x
so, cost price = x
Sold at Rs. 50000 less than Rs. x
so, selling price = x – 50000

Also, 50000 is 8% of x
50000 = 8/100 of x
50000 = 0.08x
or, x = 50000/0.08 = 625000

So, Riya bought at Rs. 625000.
To gain what she lost in her first transaction i.e., Rs 50000 she should have sold the car at Rs. 625000 + 50000
= Rs. 6,75,000

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