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D3N0
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A grocer has two types of rice. Type A costs 40 per kg and Type B Updated on: 20 Jul 2025, 01:05
Originally posted by D3N0 on 03 Jul 2025, 03:40.
Last edited by D3N0 on 20 Jul 2025, 01:05, edited 1 time in total.
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Difficulty:

15% (low)

Question Stats:

86% (01:19) correct 14% (01:56) wrong based on 134 sessions

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A grocer has two types of rice. Type A costs ₹40 per kg and Type B costs ₹60 per kg. He mixes the two types in a certain ratio to get a 30 kg mixture that should costs ₹50 per kg.
What is the quantity of Type A rice in the mixture?

A. 10 kg
B. 12 kg
C. 15 kg
D. 18 kg
E. 20 kg
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Official Answer
C
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Krunaal
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A grocer has two types of rice. Type A costs 40 per kg and Type B 03 Jul 2025, 04:02
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D3N0
A grocer has two types of rice. Type A costs ₹40 per kg and Type B costs ₹60 per kg. He mixes the two types in a certain ratio to get a 30 kg mixture that he sells at ₹50 per kg. What is the quantity of Type A rice in the mixture?

A. 10 kg
B. 12 kg
C. 15 kg
D. 18 kg
E. 20 kg
Show more
Using Alligation,

4060
50
1010

From above we see that both rice were mixed in 1:1 ratio => 15kg + 15kg = 30kg

Type A = 15kg

Answer C.
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A grocer has two types of rice. Type A costs 40 per kg and Type B 10 Jul 2025, 01:36
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Cost price of A&B is given and selling price of mixture is given. Can we still apply alligation?
Krunaal
D3N0
A grocer has two types of rice. Type A costs ₹40 per kg and Type B costs ₹60 per kg. He mixes the two types in a certain ratio to get a 30 kg mixture that he sells at ₹50 per kg. What is the quantity of Type A rice in the mixture?

A. 10 kg
B. 12 kg
C. 15 kg
D. 18 kg
E. 20 kg
Using Alligation,

4060
50
1010

From above we see that both rice were mixed in 1:1 ratio => 15kg + 15kg = 30kg

Type A = 15kg

Answer C.
Show more
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A grocer has two types of rice. Type A costs 40 per kg and Type B 10 Jul 2025, 04:18
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1234Deeksha
Cost price of A&B is given and selling price of mixture is given. Can we still apply alligation?
Krunaal
D3N0
A grocer has two types of rice. Type A costs ₹40 per kg and Type B costs ₹60 per kg. He mixes the two types in a certain ratio to get a 30 kg mixture that he sells at ₹50 per kg. What is the quantity of Type A rice in the mixture?

A. 10 kg
B. 12 kg
C. 15 kg
D. 18 kg
E. 20 kg
Using Alligation,

4060
50
1010

From above we see that both rice were mixed in 1:1 ratio => 15kg + 15kg = 30kg

Type A = 15kg

Answer C.
Show more
If 30, and 60 are the cost price to the grocer, to apply alligation 50 needs to be the mean cost price. So that's the unstated assumption made, without which we can't get an answer by any method not only alligation.

However, imo the question writer intended that 40, and 60 were the costs to customer and not grocer, then the question doesn't need to make any unstated assumptions; but it could've been better worded to avoid ambiguity, for eg. "Type A sells for 40 per kg...."
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D3N0
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A grocer has two types of rice. Type A costs 40 per kg and Type B 20 Jul 2025, 01:06
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Krunaal

However, imo the question writer intended that 40, and 60 were the costs to customer and not grocer, then the question doesn't need to make any unstated assumptions; but it could've been better worded to avoid ambiguity, for eg. "Type A sells for 40 per kg...."
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Agree, I changed the wording to make it less ambiguous.
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