Rs. 395 are distributed among A, B, and C such that B receives 25% more than A and 20% more than C. Find A's share:
Show answer Hide answer
Answer: B. Rs. 120
Explanation
Expressing B in terms of A gives one point two five A, and expressing B in terms of C gives one point two zero C. Writing C in terms of A allows all three individual shares to be represented using the single variable A. Summing all three expressions and equating them to the total amount of three hundred ninety-five gives A's share as one hundred twenty. Ratio and proportion word problems require converting descriptive statements into consistent algebraic expressions involving a common variable. Fractional relationships simplify the process of distributing a single total sum among multiple participating recipients. Checking the sum of individual calculated shares ensures the total matches the original distributed capital amount.
Option A creates a total sum that exceeds the specified three hundred ninety-five limit when verified. Option C provides a share amount that fails to satisfy the given proportional relationship between B and A. Option D represents a value too close to the total sum, leaving insufficient funds for the other participants.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. What is the salary ratio of Faheem, Imran, and Naveed if they earn 80,000 rupees, 70,000 rupees, and 50,000 rupees respectively?
Show answer Hide answer
Answer: B. 8:7:5
Writing the individual earnings as a direct three-way ratio gives eighty thousand to seventy thousand to fifty thousand. Dividing each numerical term in the ratio by the common factor of ten thousand simplifies the expre...
Q2. Ramees claims to sell goods at cost price but uses 900 grams instead of a kilogram. What is his percentage profit?
Show answer Hide answer
Answer: C. 11 1/9%
Selling nine hundred grams while claiming it is a full kilogram creates a false weight discrepancy. The merchant makes a profit of one hundred grams for every nine hundred grams actually dispensed. Dividing one hundred b...
Q3. Solve equations (i). a2 – 9a + 20 = 0 and (ii). 2b2 – 5b – 12 = 0 to determine a and b?
Show answer Hide answer
Answer: D. If a ≥ b
Solving the first equation yields roots four and five for variable a. Solving the second equation yields roots four and negative 1.5 for variable b. Comparing every possible root combination shows that a is always greate...
Q4. Rs. 1200 is divided among P, Q, and R. P receives half of Q and R's combined total, while Q receives one-third of P and R's combined total. Find R's amount?
Show answer Hide answer
Answer: B. Rs.500
Translating the given proportional relationships into a system of linear equations links all three shares together. Solving the simultaneous equations using the total sum of twelve hundred rupees isolates individual amou...
Q5. Rayan invests a sum at 6% p.a. and 7% p.a. simple interest. What is the ratio of his investments if the returns are equal?
Show answer Hide answer
Answer: D. 7 : 6
Equating the simple interest returns means principal one times six percent equals principal two times seven percent. Setting up the proportion between the two investment capitals gives an inverse ratio relationship. Solv...
Q6. Ramees retailed two bicycles for Rs. 990 each, yielding a 10% profit on the first and a 10% loss on the second. What is their combined cost?
Show answer Hide answer
Answer: A. Rs.2000
The first bicycle cost price is calculated using a ten percent profit margin. The second bicycle cost price is calculated using a ten percent loss margin. Adding both individual cost prices together results in a combined...