which is a better deal for the customer a single discount of 14% or two successive discounts of 12% and 2 %
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Answered by
34
single discount of 14 % is better deal
in 14% discount
=1500-14/100*1500
=1500 - 14*15
=1500 - 210
=1290
in 2 successive discounts of 12 and 2%
=1500 - 12/100 * 1500
=1500 - 12 * 15
= 1500 - 180
=1320
=1320 - 2/100 * 1320
=1320 - 2/10 * 132
=1320 - 26.4
=1293.6
so, 1293.6 > 1290
hence 14% discount is better
sami7376:
not full solution
Answered by
62
Let x be the initial price
Single 14% discount:
14% discount = 14% of x = 0.14x
Price after discount = x = 0.14x = 0.86x
Two successive discounts:
12% discount = 12% of x = 0.12x
Price after discount = x - 0.12x = 0.88x
2% discount = 2% of 0.88x = 0.02 x 0.88x = 0.0176x
Price after discount = 0.88x - 0.0176 x= 0.8624x
Compare:
Since 0.8624x > 0.86x
⇒A single 14% discount is a better deal
Answer: A single 14% discount is a better deal
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