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?

Question

Answer

Let the cost of a apple and that of a mango be Rs. x and Rs. y respectively.
Given:

10x = 4y
y = 5x / 2

According to question:

15x + 2y = 4000
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

Hence (B) is the correct answer.

Answer

3900

Answer

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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