At a retail store, the cost of a plastic pot is ₹50 more than the cost of a broomstick. If the ratio of the cost of two pots to the cost of three broomsticks is 5 : 6, what is the cost of the pot?​



Answer :

Answer:

₹250

Step-by-step explanation:

Let x be the cost of a broomstick and x + 50 be the cost of a plastic pot.

Two pots = 2(x + 50) and three broomsticks = 3x.

Therefore,

the ratio of the cost of two pots to the cost of three broomsticks = 5:6 = 5/6

[tex] \frac{2(x + 50)}{3x} = \frac{5}{6} [/tex]

Multiply both sides by the LCM = 6(3x)

12(x + 50) = 5(3x) Open the brackets

12x + 600 = 15x Collect like terms

15x - 12x = 600

3x = 600 Divide both sides by 3

x = 600/3 = 200

x = 200

Hence, the cost of the pot = x + 50

= 200 + 50

= ₹250