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A woman bought some amount of paneer, She uses half of it on Monday, half of the remaining of Tuesday and the process going on till thrusday. Find how much quantity she consumed in all from Monday to Thrusday.

A woman bought some amount of paneer, She uses half of it on Monday, half of the remaining of Tuesday and the process going on till thrusday. Find how much quantity she consumed in all from Monday to Thrusday. Correct Answer 93.75% 

Given: 

A woman bought some amount of paneer,

She uses half of it on Monday,

Half of the remaining of Tuesday, and

The process going on till Thursday.

Calculation:

Let woman bought amount of panner = X

According to the question,

Monday uses = X - (X/2) = X/2

Tuesday uses = (X/2) - {(X/2)/2} = (X/2) - (X/4) = X/4

Wednesday uses = (X/4) - {(X/4)/2} = (X/4) - (X/8) = X/8

And Thursday uses = (X/8) - {(X/8)/2} = (X/8) - (X/16) = X/16

Monday to Thursday she consumed,

⇒ X/2 + X/4 +X/8 + X/16  

⇒ (8X + 4X + 2X + X)/16 = (15X)/16

Let Y% she consumed from Monday to Thursday,

So, X × Y% = (15X)/16

⇒ X × Y/100 = (15X)/16

⇒ Y = {(15X)/16} × (100/X)

⇒ Y = (1500X)/(16X) = 1500/16 = 93.75

∴ The required percentage of consumption is 93.75%.

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