The cost price of 90 tables is same as the selling price of x tables. If there is a profit of 50 percent, then what is the value of x?

Correct option is D

Given:
Cost Price of 90 tables = Selling Price of x tables
Profit Percentage = 50%

Formula Used:

Profit% = $$\frac{S.P - C.P}{C.P} \times 100$$​

Solution:

​​$$C.P \times 90 = S.P \times x\\\frac{S.P.}{C.P}= \frac{90}{x}\\Profit\% = \frac{90 - x}{x} \times 100\\50 = \frac{90 - x}{x} \times 100\\50x = 9000 - 100x\\150x = 9000\\x = \frac{9000}{150}\\x = 60\\\text {Therefore, the value of x is} 60.$$​​