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Mohan ate half a pizza on Monday. He ate half of what was left on Tuesday and so on. He followed this pattern for one week. How much of the pizza would he have eaten during the week.​ Please answer urgently.​

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Mohan ate half a pizza on M...

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Asked on December 30, 2019 by

Rajarshi Perisetla

Mohan ate half a pizza on Monday. He ate half of what was left on Tuesday and so on. He followed this pattern for one week. How much of the pizza would he have eaten during the week?

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ANSWER

Pizza he ate on Monday =

2

1

Pizza left =

2

1

Pizza he ate on Tuesday =

2

1

×

2

1

=

4

1

Pizza left =

2

1

−

2

1

=

4

1

Pizza he ate on Wednesday =

2

1

×

4

1

=

8

1

Pizza left =

4

1

−

8

1

=

8

1

Continuing this pattern we see that

Pizza he ate on Thursday Friday Saturday and Sunday is

16

1

,

32

1

,

64

1

and

128

1

respectively

∴ Quantity of pizza ate during the week

=

2

1

+

4

1

+

8

1

+

16

1

+

32

1

+

64

1

+

128

1

=

128

64−32+16+8+4+2+1

=

128

127

=

128

127

×100% =99.22%

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