Question

7. The price of a commodity A is twice that of
commodity B. If the price of A is increased by 10%
and that of B is increased by 25%, then what is the
percentage increase in the total price of the products
A and B together?
(A) 15% (B) 20% (C) 16%
(D) 12%​

Answer 1

The usual price is X and is between 0 and 100.

Hope the answer helps you.

Answer 2

Answer:

Option (A) 15%

Step-by-step explanation:

Let the price of  commodity A be x

Let the price of  commodity B be y

They have given that price of A is twice that of the B therefore x = 2y

Let the total price = z

Therefore z = x + y

                    = 2y + y = 3y

Total price = 3y

The percentage increase in the price of A = 10% × x = $\frac{x}{10}$

The percentage increase in the price of B = 25% × y = $\frac{y}{4}$

The percentage increase in the total price is given by

$=\frac{\frac{x}{10} +\frac{y}{4} }{x+y} 100$

 $=\frac{10x+25y}{x+y}$$=\frac{10(2y)+25y}{2y+y}$

$=\frac{45y}{3y}$

= 15%

Hence percentage increase in the price of commodities A and B = 15%