During a certain period the cost of living index number goes up from 110 to 200 and the salary of a worker is also raised from Rs. 325 to Rs. 500. Does the worker really gain ?Give reasons for your answer.

During a certain period the cost of living index number goes up from 1

1.	During a certain period the cost of living index number goes up from 110 to 200 and the salary of a worker is also raised from Rs. 325 to Rs. 500. Does the worker really gain ?Give reasons for your answer.
Answer» Explanation:Original COST of living = 110 RSNew cost of living = 200 rsPercentage of increase in the cost of living = ( 200 × 100 ÷ 110 ) - 100 = ( 2000 ÷ 11 ) - 100 = 181.8181 - 100 = 81.8181 %Original salary = 325 RSNew salary = 500 RSPercentage of increase in the salary = ( 500 × 100 ÷ 325 ) - 100 = ( 50000 ÷ 325 ) - 100 = 153.8461 - 100 = 53.8461 %Though the workers salary increased by 175 RS and cost of living increased by 90 RS , the workers did not actually gain more because cost of living increased by 81.8181 % whereas their salary increased by only 53.8461% .