Math  /  Algebra

QuestionA shopkeeper earns a profit of 15%15 \% on selling a radio, whereas if it is sold for ₹ 360 less, he suffers a loss of 15%15 \%. What is the cost price of the radio for the shopkeeper?

Studdy Solution
Solve the equations to find the cost price.
Isolate the variable C C by subtracting 0.85C 0.85C from both sides:
0.85C0.85C=1.15C0.85C360 0.85C - 0.85C = 1.15C - 0.85C - 360
0=0.30C360 0 = 0.30C - 360
Add 360 to both sides:
360=0.30C 360 = 0.30C
Divide both sides by 0.30 to solve for C C :
C=3600.30 C = \frac{360}{0.30}
C=1200 C = 1200
The cost price of the radio for the shopkeeper is:
1200 \boxed{1200}

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