Question

4 bottles and 3 plates are cost Rs. 153, cost of one plate is 50% more than the cost of one bottle. What is the

difference between their costs?​

Answer 1

Answer:494 RUPESS

Step-by-step explanation:

Answer 2

The difference between the costs of bottle and plates is Rs. 9.

Step-by-step explanation:

Given, 4 bottles and 3 plates are cost Rs. 153

1. Let one bottle be X and one plate be Y
2. Cost of one plate is 50% more than the cost of one bottle.

$\Rightarrow 4X+3Y=153$

And $Y = X + \frac{50}{100} \times X$

$\Rightarrow Y=1.5 \times X$

Then,

$\Rightarrow 4X+3 \times 1.5 \times X=153$

$\Rightarrow 8.5 \times X=153$

$\Rightarrow  X= \frac{153}{8.5}$

$\Rightarrow  X= 18$

Then, $Y=1.5 \times 18$

$\Rightarrow Y=27$

The difference between the costs of one bottle and plate = Y - X

                                                                                                 =27 - 18

                                                                                                  = Rs. 9

The difference between the costs of 4 bottles and 3 plates = 3Y - 4X

                                                                                              = $3 \times 27- 4 \times 18$

                                                                                              =81 - 72

                                                                                              = Rs. 9