Question: How many kgs of Basmati rice costing $42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing $24 per kg so that he makes a profit of 25% on selling the mixture at $40/kg?
- 12.5 kgs
- 16.0 kgs
- 20.0 kgs
- 200.0 kgs
- 205.0 kgs
Correct Answer: C
Solution and Explanation:
Approach Solution 1:
The problem statement implies that:
Given:
- A certain amount of Basmati rice costing $42/kg is mixed with 25 kgs of ordinary rice costing $24 per kg.
- He makes a profit of 25% on selling the mixture at $40/kg.
Find out:
- The amount of Basmati rice is mixed with ordinary rice.
Let us consider that the Cost price of mixed rice = x
Then, as per the question, we get: 40= x(1+1/4)
Hence, x = 32
Using the scale method (weighted avg),
24----32----42
8 : 10
4 : 5
The ratio of Ordinary rice to basmati rice = 5/4
25/ B = 5/4
B= 20
The amount of Basmati rice mixed with ordinary rice = 20.0 kgs
Approach Solution 2:
The problem statement states that:
Given:
- A certain amount of Basmati rice costing $42/kg is mixed with 25 kgs of ordinary rice costing $24 per kg.
- He makes a profit of 25% on selling the mixture at $40/kg.
Find out:
- The amount of Basmati rice is mixed with ordinary rice.
Let X the kgs of Basmati rice, and we sold it with 25% profit. So-
1.25 (42X + 25*24) = (X+25) * 40
Here- 1.25 = 125/100 = 5/4
5/4 (42X + 25*24) = (X+25) * 40
42X + 25*24 = (X+25) * 160/5 = (X+25) * 32
42X - 32X = 32*25 - 24*25 = 8*25
10X = 200
X = 20
The amount of Basmati rice mixed with ordinary rice = 20.0 kgs
Approach Solution 3:
The problem statement suggests that:
Given:
- A certain amount of Basmati rice costing $42/kg is mixed with 25 kgs of ordinary rice costing $24 per kg.
- He makes a profit of 25% on selling the mixture at $40/kg.
Find out:
- The amount of Basmati rice is mixed with ordinary rice.
Let’s assume that N kg of Basmati rice costing $42 /kg is mixed
Cost of N kg Rice = $42N
Cost of 25 kg Rice at $24 per kg = 25 * 24 = Rs 600
Total Rice = 25 + N kg
Total Cost = 600 + 42N
25 % profit = (25/100)( 600 + 42N) = $ 150 + 10.5N
Selling Price = 600 + 42N + 150 + 10.5N = 750 + 52.5 N Rs
Selling the mixture at $40/kg
Selling Price = (25 + N) 40 = 1000 + 40N RS
750 + 52.5 N = 1000 + 40N
=> 12.5N = 250
=> N = 20
The amount of Basmati rice mixed with ordinary rice = 20.0 kgs
“How many kgs of Basmati rice costing $42/kg should a shopkeeper mix”- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. The GMAT Problem Solving questions help the candidates to enhance their basic concepts. and ideas regarding quantitative problems. The candidates can improve their mathematical learning by practising more questions from the GMAT Quant practice papers to score better in the exam.
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