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The price of 10 mango is equal to that of 4 apples. The price of 15 mango and 2 apples together is Rs. 4000. The total price of 12 mango and 3 apples is:
- a)3500
- b)3900
- c)4000
- d)3800
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The price of 10 mangois equal to that of 4 apples. The price of 15 man...
Let the cost of a apple and that of a mango be Rs. x and Rs. y respectively.
Given:
Given:
10x = 4y
y = 5x / 2
y = 5x / 2
According to question:
15x + 2y = 4000
15x + 2 * (5x / 2) = 4000
20x = 4000
x = 200
y = (5/2) * 200
⇒ y = 500
15x + 2 * (5x / 2) = 4000
20x = 4000
x = 200
y = (5/2) * 200
⇒ y = 500
Hence, the cost of 12 mangoes and 3 apples is:
= 12x + 3y
= Rs. (2400 + 1500)
= Rs. 3900
= Rs. (2400 + 1500)
= Rs. 3900
Hence (B) is the correct answer.
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
The price of 10 mangois equal to that of 4 apples. The price of 15 man...
Let the cost of a apple and that of a mango be Rs. x and Rs. y respectively.
Given:
Given:
10x = 4y
y = 5x / 2
y = 5x / 2
According to question:
15x + 2y = 4000
15x + 2 * (5x / 2) = 4000
20x = 4000
x = 200
y = (5/2) * 200
⇒ y = 500
15x + 2 * (5x / 2) = 4000
20x = 4000
x = 200
y = (5/2) * 200
⇒ y = 500
Hence, the cost of 12 mangoes and 3 apples is:
= 12x + 3y
= Rs. (2400 + 1500)
= Rs. 3900
= Rs. (2400 + 1500)
= Rs. 3900
Hence (B) is the correct answer.
Community Answer
The price of 10 mangois equal to that of 4 apples. The price of 15 man...
Given information:
- The price of 10 mangoes is equal to that of 4 apples.
- The price of 15 mangoes and 2 apples together is Rs. 4000.
Let's solve the problem step by step:
Step 1: Determine the price of one mango and one apple.
- Let the price of one mango be 'm' and the price of one apple be 'a'.
- From the given information, we can write the equation: 10m = 4a.
Step 2: Calculate the value of 'm' in terms of 'a'.
- Divide both sides of the equation by 10: m = (4/10)a.
- Simplify the equation: m = (2/5)a.
Step 3: Substitute the value of 'm' in terms of 'a' in the second equation.
- The price of 15 mangoes and 2 apples is given as Rs. 4000.
- Substitute the value of 'm' in terms of 'a': 15(2/5)a + 2a = 4000.
- Simplify the equation: (6/5)a + 2a = 4000.
- Combine like terms: (16/5)a = 4000.
- Multiply both sides by 5/16 to isolate 'a': a = (4000 * 5/16).
- Calculate the value of 'a': a = 1250.
Step 4: Calculate the value of 'm' using the value of 'a'.
- Substitute the value of 'a' in the equation: m = (2/5)(1250).
- Calculate the value of 'm': m = 500.
Step 5: Calculate the total price of 12 mangoes and 3 apples.
- The price of one mango is Rs. 500 and the price of one apple is Rs. 1250.
- Calculate the total price: 12(500) + 3(1250) = 6000 + 3750 = Rs. 9750.
Conclusion:
- The total price of 12 mangoes and 3 apples is Rs. 9750, which is not given as an option.
- None of the given options (a, b, c, d) matches the calculated result.
- Therefore, the answer cannot be determined based on the given information.
- The price of 10 mangoes is equal to that of 4 apples.
- The price of 15 mangoes and 2 apples together is Rs. 4000.
Let's solve the problem step by step:
Step 1: Determine the price of one mango and one apple.
- Let the price of one mango be 'm' and the price of one apple be 'a'.
- From the given information, we can write the equation: 10m = 4a.
Step 2: Calculate the value of 'm' in terms of 'a'.
- Divide both sides of the equation by 10: m = (4/10)a.
- Simplify the equation: m = (2/5)a.
Step 3: Substitute the value of 'm' in terms of 'a' in the second equation.
- The price of 15 mangoes and 2 apples is given as Rs. 4000.
- Substitute the value of 'm' in terms of 'a': 15(2/5)a + 2a = 4000.
- Simplify the equation: (6/5)a + 2a = 4000.
- Combine like terms: (16/5)a = 4000.
- Multiply both sides by 5/16 to isolate 'a': a = (4000 * 5/16).
- Calculate the value of 'a': a = 1250.
Step 4: Calculate the value of 'm' using the value of 'a'.
- Substitute the value of 'a' in the equation: m = (2/5)(1250).
- Calculate the value of 'm': m = 500.
Step 5: Calculate the total price of 12 mangoes and 3 apples.
- The price of one mango is Rs. 500 and the price of one apple is Rs. 1250.
- Calculate the total price: 12(500) + 3(1250) = 6000 + 3750 = Rs. 9750.
Conclusion:
- The total price of 12 mangoes and 3 apples is Rs. 9750, which is not given as an option.
- None of the given options (a, b, c, d) matches the calculated result.
- Therefore, the answer cannot be determined based on the given information.
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The price of 10 mangois equal to that of 4 apples. The price of 15 mangoand 2 applestogether is Rs. 4000. The total price of 12 mangoand 3 applesis:a)3500b)3900c)4000d)3800Correct answer is option 'B'. Can you explain this answer?
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The price of 10 mangois equal to that of 4 apples. The price of 15 mangoand 2 applestogether is Rs. 4000. The total price of 12 mangoand 3 applesis:a)3500b)3900c)4000d)3800Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The price of 10 mangois equal to that of 4 apples. The price of 15 mangoand 2 applestogether is Rs. 4000. The total price of 12 mangoand 3 applesis:a)3500b)3900c)4000d)3800Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The price of 10 mangois equal to that of 4 apples. The price of 15 mangoand 2 applestogether is Rs. 4000. The total price of 12 mangoand 3 applesis:a)3500b)3900c)4000d)3800Correct answer is option 'B'. Can you explain this answer?.
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Solutions for The price of 10 mangois equal to that of 4 apples. The price of 15 mangoand 2 applestogether is Rs. 4000. The total price of 12 mangoand 3 applesis:a)3500b)3900c)4000d)3800Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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