Question

The average weight of 3 tables and 2 chair is 410 Kg. The average increased by 50 Kg when one chair replaced by one table. If all tables weighs same and all chairs weighs the same, what is the ratio of weights of table to chair?
1. 51 : 26
2. 61 : 36
3. 55 : 27
4. 43 : 23

Answer 1

Correct Answer - Option 1 : 51 : 26

Calculation:

3T + 2C = 5 × 410 = 2050      ---(1)

4T + C = 5 × (410 + 50) = 2300      ---(2)

2 × (2) 

⇒ 8T + 2C = 4600      ---(3)

(3) - (1) gives

⇒ 5T =  2550

⇒ T = 510

Putting value of 1 in equation  (2) gives

⇒ C = 260

Ratio is 510 : 260  ⇒ 51 : 26

 Total = Average × number of items