Question

27. The price of fan A is twice that of another fan B. The price of A is increased by 10% and that of B is decreased by 20%. Find the percentage decrease in the sum of the prices of the fans.​

Answer 1

Answer:

0%

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Answer 2

Answer:

Set the price of fan B to x. The price of fan A is 2x. The sum of those prices is 3x. Now the prices change: the new price of A is 2x∗1.1=2.2x. The new price of B is x∗0.8=0.8x. The sum of those new prices is 2.2x+0.8x=3x, so the price of the sum doesn't change, so the percentage decrease in sum of the prices of the fans is 0%.

$Price increased by 10% and then decreased by 10%</p><p>let the price of an item be Rs.100</p><p>10%=100/10=101</p><p>So 10% of 100=100/10×100=10</p><p>New price after increase=100+10=110</p><p>Now 10% of 110 is =100/10×110=11</p><p>So new price after decrease is Rs.110−11=Rs. 99</p><p>Rs.1 loss on Rs.100 means 1% \ \tex \\ \\ </p><p></p><p>$