Question 2

A picture was bought at a certain sum, which was the price paid for its frame. Had the frame cost Rs 100 less and the picture Rs 75 more the price for the frame would have been only half of that of the picture. What is the price of the frame?

Solution

Let the cost of Picture be Rs X. Then the cost of frame is also Rs X.

As per question $$\frac{X+75}{2}$$ = $$2\cdot\left(X-100\right)$$

X + 75 = 2X - 200

X = 275

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