The cost of 3 cups and 5 plates is Rs. 1,080 and the cost of 2 cups and 4 plates is Rs. 840. Find the ratio of the cost of a cup to the cost of a plate.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1 : 3.
Given:
The cost of 3 cups and 5 plates is Rs. 1,080
The cost of 2 cups and 4 plats is Rs. 840
Calculations:
Let the cost of one cup and one plate be C and P
According to the question;
⇒ 3 C + 5 P = 1080 ---------1
⇒ 2C + 4 P = 840
⇒ C + 2 P = 420 --------2
3 × Equation (2) - Equation (1)
⇒ P = 1260 - 1080
⇒ P = 180
From Equation (2);
⇒ C + 360 = 420
⇒ C = 60
Hence, the required ratio = 60 : 180 = 1 : 3