Question
Download Solution PDFOne quality of rice at Rs. 45 per kg is mixed with another quality at a certain rate in the ratio of 3 ∶ 2. If the mixture so formed is worth Rs. 50 per kg, what is the rate per kg of the second quality of rice?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Rate of the first type of rice = Rs.45/kg
Rate of the mixture of rice = Rs.50/kg
Formula used:
Average rate of product = Total price of product/quantity of product
Calculation:
Let rice of first type of rice = 3x
Rice of second type of rice = 2x
Rate of second type of rice = Rs.A/kg
According to the question:
⇒ {(45 × 3x) + (A × 2x)}/5x = 50
⇒ 135x + 2Ax = 50 × 5x
⇒ 135 + 2A = 250
⇒ 2A = 250 - 135 = 115
⇒ A = 115/2 = Rs.57.5/kg
∴ The correct answer is Rs.57.5/kg
Shortcut TrickCalculation:
Now,
⇒ (X - 50)/(50 - 45) = 3/2
⇒ 2 × (X - 50) = 3 × 5
⇒ 2X - 100 = 15
⇒ 2X = (15 + 100)
⇒ X = 115/2 = Rs.57.5/kg
∴ The correct answer is Rs.57.5/kg
Last updated on Jul 16, 2025
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> The Bihar Sakshamta Pariksha Admit Card 2025 for 3rd phase is out on its official website.