Banking Exams Exam  >  Banking Exams Questions  >  A shopkeeper has 50 kg of rice. A part of whi... Start Learning for Free
A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit and remaining at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.
  • a)
    40 kg
  • b)
    30 kg
  • c)
    20 kg
  • d)
    10 kg
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit...
From mixture law.

Since, the ratio is 4 : 1, therefore,
⇒ Quantity sold at 10% profit =50 × (4/5)
= 40 kg
Free Test
Community Answer
A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit...
Understanding the Problem
A shopkeeper has 50 kg of rice and sells it in two parts: one at a 10% profit and the other at a 5% loss. The overall gain from selling all the rice is 7%. We need to find out how much rice was sold at a 10% profit.
Variables Setup
- Let "x" be the quantity of rice sold at 10% profit.
- Therefore, the quantity sold at 5% loss will be (50 - x) kg.
Calculating Profit and Loss
1. Profit from x kg sold at 10%:
- Selling Price (SP) = Cost Price (CP) + Profit
- CP of x kg = x (since CP per kg = 1 unit)
- Profit = 10% of CP = 0.1 * x
- SP = x + 0.1x = 1.1x
2. Loss from (50 - x) kg sold at 5%:
- Loss = 5% of CP = 0.05 * (50 - x)
- SP = CP - Loss = (50 - x) - 0.05(50 - x) = 0.95(50 - x)
Total Selling Price
- Total SP = SP from 10% profit + SP from 5% loss
- Total SP = 1.1x + 0.95(50 - x)
Overall Gain
- The overall gain is 7% on the total cost price of 50 kg.
- Total CP = 50
- Overall SP = CP + Gain = 50 + 0.07 * 50 = 53.5
Setting Up the Equation
Equating total SP to the overall SP:
1.1x + 0.95(50 - x) = 53.5
Expanding and simplifying:
1.1x + 47.5 - 0.95x = 53.5
0.15x = 53.5 - 47.5
0.15x = 6
x = 40 kg
Conclusion
Thus, the quantity sold at 10% profit is 40 kg, confirming that the correct answer is option A.
Explore Courses for Banking Exams exam

Top Courses for Banking Exams

Question Description
A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit and remaining at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.a)40 kgb)30 kgc)20 kgd)10 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit and remaining at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.a)40 kgb)30 kgc)20 kgd)10 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit and remaining at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.a)40 kgb)30 kgc)20 kgd)10 kge)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit and remaining at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.a)40 kgb)30 kgc)20 kgd)10 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
Here you can find the meaning of A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit and remaining at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.a)40 kgb)30 kgc)20 kgd)10 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit and remaining at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.a)40 kgb)30 kgc)20 kgd)10 kge)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit and remaining at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.a)40 kgb)30 kgc)20 kgd)10 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit and remaining at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.a)40 kgb)30 kgc)20 kgd)10 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A shopkeeper has 50 kg of rice. A part of which he sells at 10% profit and remaining at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.a)40 kgb)30 kgc)20 kgd)10 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
Explore Courses for Banking Exams exam

Top Courses for Banking Exams

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev