# 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?.

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• J. J..
Lv 7
8 years ago

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