Study the following information carefully and answer the given questions.
The following chart shows the opening, closing, high and low price of a share of a company XYZ on given 5 days-Monday, Tuesday, Wednesday, Thursday and Friday.
Opening and closing price of the shares of the company XYZ are represented by ceiling and floor of the black box and floor and ceiling of the white box respectively. The high and low price of the share of the company XYZ are represented by ceiling and floor of the line respectively
For example: On Monday, opening price = 60, closing price = 52, high price = 66 and low price = 40

A trader, bought X shares of the company XYZ on Wednesday and sold `20%` of the shares on Wednesday itself. If he sold 4/`9^(th)` of the remaining shares on closing price of the Thursday and the remaining shares on opening price of Friday. If rate on commission while selling the shares is Rs. 100 for sales amount upto Rs. 3000 and `10%` above that amount. If on Friday he gets Rs. 5240 for selling shares after deduction of commission, then the value of x is

Options

A. 240
B. 270
C. 300
D. 360

Answer

D

Explanation

Selling amount of shares on Friday ` = 0 . 8 X xx (5)/(9) xx 35 `= Rs. ` (140 X)/(9)`
Total commission while selling on Friday `= [100 + 10% of ((140 X)/(9)-3000)] = ((14X)/(9)-200)`
According to questions
`(140 X)/( 9) - ((14 x)/(9 ) - 200) = 5240`
`rArr (126 X)/( 9) = 5040`
x = 360