Question

the price of a fan P is thrice that of fan Q. the price of P is increased by 10% and that of Q is decreased by 30%. what is the change in the total price of fans P and Q put together

Answer 1

Answer:

P=2.1

Q=1.1

Step-by-step explanation:

10%increase, 0.1p+p=1.1P

30%decrease, Q-0.3Q=0.7Q

p=3Q

1.1p=2.1Q

p=2.1

Q=1.1

Answer 2

Answer:

The change in the total price of fans P and Q put together is 0.

Step-by-step explanation:

Given,price of a fan P is thrice that of fan Q.

Let price of fan Q be x rupees and price of fan P be 3x rupees.

So, their total price

$(x + 3x) \: rupees \\ = 4x \: rupees$

It is also given,the price of P is increased by 10% and that of Q is decreased by 30%.

Therefore 3x is increased by 10%

So,x becomes

$= 3x \times \frac{100 + 10}{100} \\ = 3x \times \frac{110}{100} \\ = \frac{33x}{10} \: rupees$

Again Q is decreased by 30%.

So,x becomes

$= x \times \frac{100 - 30}{100} \\ = x \times \frac{70}{100} \\ = \frac{7x}{10} \: rupees$

Now total price of two articles

$= ( \frac{33x}{10} + \frac{7x}{10} ) \\ = \frac{33x + 7x}{10} \: rupees \\ = \frac{40x}{10} \\ = 4x \: rupees$

Here before and after sum of cost of fan P and Q is same.

So,we can say there is no charge.

This is a problem of percentage.

Know more about percentage,

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