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A fruit seller purchased 50 kg of mangoes at the rate of Rs. 25 per kilo. He sold some of the mangoes at the rate of Rs. 40 per kilo and the rest at the rate of Rs. 15 per kilo. If he incurred 20% profit overall, the amount of mangoes sold at the rate of Rs. 15 per kilo is
  • a)
    20 kg
  • b)
    25 kg
  • c)
    30 kg
  • d)
    40 kg
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A fruit seller purchased 50 kg of mangoes at the rate of Rs. 25 per ki...
A fruit seller purchased 50 kg of mangoes at the rate of Rs. 25 per kilo.
Total cost price of the 50 kg of mangoes = 50 × 25 = 1250
If he incurred 20% profit overall then the selling price of 50 Kg of Mangoes 
= 1500
He sold some of the mangoes at the rate of Rs. 40 per kilo and the rest at the rate of Rs. 15 per kilo.
Suppose he sold X kg of mangoes at the rate of Rs 40 and (50-X) Kg of sold at the rate of Rs15.
We can say that,
⇒ 40 × X + 15 × (50 - X) = 1500
⇒ 40X + 750 – 15X = 1500
⇒ 25X = 750
⇒ X = 30
So he sold 30 kg of mangoes at the rate of Rs 40 and (50-30) =20 Kg of sold at the rate of Rs 15.
Hence the answer is 20 kg
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Most Upvoted Answer
A fruit seller purchased 50 kg of mangoes at the rate of Rs. 25 per ki...
Given:
- Quantity of mangoes purchased = 50 kg
- Cost price of mangoes = Rs. 25 per kg
- Selling price of some mangoes = Rs. 40 per kg
- Selling price of rest of the mangoes = Rs. 15 per kg
- Overall profit incurred = 20%

To find:
- Quantity of mangoes sold at Rs. 15 per kg

Solution:
1. Total cost price of 50 kg mangoes = 50 x Rs. 25 = Rs. 1250
2. Let the quantity of mangoes sold at Rs. 40 per kg be x kg.
3. Let the quantity of mangoes sold at Rs. 15 per kg be y kg.
4. Total selling price of x kg mangoes at Rs. 40 per kg = x x Rs. 40 = Rs. 40x
5. Total selling price of y kg mangoes at Rs. 15 per kg = y x Rs. 15 = Rs. 15y
6. Total selling price of all mangoes = Rs. 40x + Rs. 15y
7. Overall profit percentage = (Total selling price - Total cost price) / Total cost price x 100%
8. Substituting the given values in above formula:
20% = (Rs. 40x + Rs. 15y - Rs. 1250) / Rs. 1250 x 100%
9. Simplifying the equation:
8x + 3y = 500
10. We know that x + y = 50 (total quantity of mangoes)
11. Solving equations 9 and 10, we get:
x = 10 and y = 20
12. Therefore, the quantity of mangoes sold at Rs. 15 per kg is 20 kg.

Answer: Option A (20 kg)
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A fruit seller purchased 50 kg of mangoes at the rate of Rs. 25 per kilo. He sold some of the mangoes at the rate of Rs. 40 per kilo and the rest at the rate of Rs. 15 per kilo. If he incurred 20% profit overall, the amount of mangoes sold at the rate of Rs. 15 per kilo isa)20 kgb)25 kgc)30 kgd)40 kgCorrect answer is option 'A'. Can you explain this answer?
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A fruit seller purchased 50 kg of mangoes at the rate of Rs. 25 per kilo. He sold some of the mangoes at the rate of Rs. 40 per kilo and the rest at the rate of Rs. 15 per kilo. If he incurred 20% profit overall, the amount of mangoes sold at the rate of Rs. 15 per kilo isa)20 kgb)25 kgc)30 kgd)40 kgCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A fruit seller purchased 50 kg of mangoes at the rate of Rs. 25 per kilo. He sold some of the mangoes at the rate of Rs. 40 per kilo and the rest at the rate of Rs. 15 per kilo. If he incurred 20% profit overall, the amount of mangoes sold at the rate of Rs. 15 per kilo isa)20 kgb)25 kgc)30 kgd)40 kgCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fruit seller purchased 50 kg of mangoes at the rate of Rs. 25 per kilo. He sold some of the mangoes at the rate of Rs. 40 per kilo and the rest at the rate of Rs. 15 per kilo. If he incurred 20% profit overall, the amount of mangoes sold at the rate of Rs. 15 per kilo isa)20 kgb)25 kgc)30 kgd)40 kgCorrect answer is option 'A'. Can you explain this answer?.
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