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A perfect cake should have 25% cream and 75% bread. Oman bought materi

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A perfect cake should have 25% cream and 75% bread. Oman bought materi  [#permalink]

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New post 01 Mar 2019, 00:06
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Question Stats:

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A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi  [#permalink]

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New post 01 Mar 2019, 05:52
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kiran120680 wrote:
A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg


Of the 5 kgs he has bought, 35% is cream.
Cream = 35/100 * 5 = 7/4 kg
Bread = 5 - 7/4 kg = 13/4 kg

The ratio of Cream:Bread should actually be 25:75 = 1:3 so bread should be 3*(7/4) kg = 21/4 kg.
So he should buy another 21/4 - 13/4 = 8/4 = 2 kg of bread.

Answer (A)
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi  [#permalink]

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New post 01 Mar 2019, 03:21
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kiran120680 wrote:
A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg


5 kg material has been bought with 35% cream and 65% bread
=> Amount of cream = 35% of 5 kg = 1.75 Kgs
=> Amount of bread = 65% of 5 kg = 3.25 Kgs (Another way would be 5-1.75 = 3.25Kgs)

Now we want to convert the ratio from 35%-65% to 25%-75% by buying more bread.
Here the amount of cream remains constant, hence 1.75kgs of cream should be 25% of the total amount.
Hence we need to have 75% of the bread. Now 75% is 3 times 25%, therefore the amount of bread we should have is 3 times the amount of cream

=> 3*1.75 = 5.25 kgs of bread is required

We have 3.25 kgs of bread and hence require 2 extra kgs of bread.

Hence A is the correct answer.
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi  [#permalink]

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New post 01 Mar 2019, 10:44
1
kiran120680 wrote:
A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg


5kg has 35% cream or say ; 5*35/100 ; 7/4
and bread 5*65/100 ; 13/4

perfect cake ratio ; 25:75 ; 1:3
so 3*7/4 ; 21/4
kg of bread required ; 21/4-13/4 ; 8/4 ; 2kgs
IMO A
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A perfect cake should have 25% cream and 75% bread. Oman bought materi  [#permalink]

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New post Updated on: 20 Jun 2019, 10:09
kiran120680 wrote:
A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg


We can do it using mixtures concept..

65 _____100
___75___
25_____10

x=(5/25)*10
=2kg

Answer: A

Originally posted by pravalithota on 20 Jun 2019, 08:35.
Last edited by pravalithota on 20 Jun 2019, 10:09, edited 1 time in total.
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi  [#permalink]

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New post 20 Jun 2019, 09:25
1
perfect cake has 75% bread i.e. 3/4 ratio
Now current has 65% bread, now say we add x% to make ratio 3/4
Therefore, 65+x/100+x=3/4
x=40
hence 40% more needs to be added.
Now 40% of 5kg= 2kg
Hence A
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi   [#permalink] 20 Jun 2019, 09:25
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