Question

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the price of a chair p is thrice that of another chairs Q the price of p is decreased by 15% and that of Q is increased by 40% find the percentage charge in the sum of the price of the chair?
1) 5%
2) 8.75%
3) 3.75%
4) 1.25%​​

Answer 1

Answer:

3.75

Step-by-step explanation:

in my point of view the answer is 3.75 but I don't know the exact answer

Answer 2

Answer:

Percentage change in the sum of price 6.25%.

Step-by-step explanation:

• For chair Q: Lets assume the price of chair Q is 'x.'

      If this price is increased by 40%, then the price of Q is = x + $\frac{40x}{100}$

                                                                                                  = x + $\frac{2x}{5}$

                                                                                                  = $\frac{7x}{5}$

• For chair p: Price of 'p' is thrice that of Q, so the price of chair p=3x

      If this price is decreased by 15%, then the price of p is = 3x - $\frac{15x}{100}$

                                                                                                  = 3x - $\frac{3x}{20}$

                                                                                                  = $\frac{57x}{20}$

• The initial total price of p and Q chair = x + 3x = 4x

  The final total price of p and Q chair = $\frac{7x}{5}$ + $\frac{57x}{20}$ = $\frac{17x}{4}$

   $\frac{17x}{4}$ > 4x, it implies that total price is increased.

  Change in price = $\frac{17x}{4}$ - 4x = $\frac{x}{4}$

  Percentage change in the sum of price = $\frac{increasing value}{initial value} \times100$%

                                                                    = $\frac{\frac{x}{4} }{4x }$ × 100%

                                                                    = 6.25%

  ∴  Percentage change in the sum of price 6.25%.

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