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Question

While making a dish, chef A mixes 500 g of dough with 300 g of sugar while chef B mixes 200 g of sugar with 400 g of dough. Whose dish will be sweeter?


A

Chef A

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B

Chef B

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C

Both are equally sweet

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D

Cannot be determined

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Solution

The correct option is A

Chef A


Total weight of A's dish = 800 g
Fraction of sugar in dish A =300800=38

Total weight of B's dish = 600 g
Fraction of sugar in dish B =200600=26=13

To compare 38 and 13, make them into like fractions. LCM of 8 and 3 =24.

3×38×3=924

1×83×8=824

924>824 i.e., 38>13

So, Chef A's dish is sweeter than Chef B's dish.


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