# Two shops sell the same model of camera, one shop £16 more than other. But then the first one introduced a spe?

Two shops sell the same model of camera, one shop £16 more than other. But then the first one introduced a special offer giving 25% off, making the camera £2 cheaper than from the second shop. What is the price of the camera from each shop, taking the special offer into account?.

Relevance

Please forgive me for not using the pound sign - although I am British, my keyboard is Thai and does not have a pound sign on it - so I shall use the \$ sign instead.

Let the original price of the first shop be \$A, and the original price of the second shop be \$B

Therefore \$A = \$B + 16

After the offer

75%A = \$B - \$2

Now you simply solve the above two simultaneous equations. Using the substitution method, Substitute (B + 16) for A in the bottom equation

75%(B + 16) = B - 2

75%B + 75%*16 = B - 2

75%B + 12 = B - 2

Subtract 75%B and add 2 to both sides of the equation

14 = 25%B

B = 14 * 100/25

B = \$56

As A was originally \$16 more than B, A's original price was \$56 + \$16 = \$72

25% of 72 = \$18 therefore with discount the new price is \$72 - \$18 = \$54 which is \$2 less than shop B. Therefore the maths is correct

Original Price shop A = 72 pounds and shop B = 56 pounds

but after discount

FINAL PRICE shop A = 54 pounds and shop B = 56 pounds