Two plates and three spoons cost is Rs. 86. The cost of four plates and a spoon is Rs. 112. The difference between the cost of a plate and that of a spoon is ________.

Question

Question

This question was previously asked in

RRB Group D 16 Sept 2022 Shift 1 Official Paper

Answer 1

Given:

Two plates and three spoons cost Rs. 86

Cost of four plates and a spoon is Rs. 112

Calculation:

Let the cost of the plate be x and the spoon is y.

According to the question,

⇒ 2x + 3y = 86

⇒ x = \(\frac{86-3y}{2}\) → (1)

⇒ 4x + y = 112

⇒ x = \(\frac{112-y}{4}\) → (2)

Equating both equations, we get

⇒ \(\frac{86-3y}{2}=\frac{112-y}{4}\)

⇒ 4(86 – 3y) = 2(112 – y)

⇒ 344 – 12y = 224 – 2y

⇒ 10y = 344 – 224 = 120

⇒ y = 12

Cost of the spoon is Rs. 12

⇒ x = \(\frac{112-12}{4}=25\)

Cost of the plate is Rs. 25

Difference between the cost of a plate and a spoon = 25 – 12 = Rs. 13

Therefore, the difference between the cost of a plate and that of a spoon is Rs. 13.

Hence, the correct answer is option 2).