Question

At a birthday party every four guests used a bowl of rice between them, every five guests used a bowl of dal between them. There were altogether 54 dishes. How many guests were present at the party?
1. 130
2. 100
3. 125
4. 120

Answer 1

Correct Answer - Option 4 : 120

The logic followed is:

Given:

i). Every four guests used a bowl of rice between them.

ii). Every five guests used a bowl of dal between them.

iii) There were altogether 54 dishes.

Let the total number of guests be x.

Number of bowls of rice = x/4

Number of bowls of dal = x/5

A.T.Q

x/4 + x/5 = 54

(5x + 4x)/20 = 54

9x = 54 × 20

9x = 1080

x = 120 

Hence, the correct answer is "120".