All Exams Test series for 1 year @ ₹349 only
Question

A store sells three packs of groceries as follows

PackRice (kg)Wheat (kg)Pulses (kg)Sugar (kg)Prices (Rs.)
A340.50.5400
B4311500
C5410.5600

What is the largest excess of rice over wheat that can be purchased with Rs. 2800 in hand, if only whole packs can be bought?

The correct answer is
5 kg

To solve this problem, we need to determine the largest excess of rice over wheat that can be achieved using a budget of Rs. 2800, with the condition that only whole packs can be bought. Let’s analyze the options available:

PackRice (kg)Wheat (kg)Pulses (kg)Sugar (kg)Prices (Rs.)
A340.50.5400
B4311500
C5410.5600

The goal is to find the combination of packs such that the difference between the amount of rice and wheat is maximized under the condition of the given budget.

Calculation:

  1. First calculate maximum amount of any pack that can be bought with Rs. 2800:
    • Pack A: \(2800 \div 400 = 7\)
    • Pack B: \(2800 \div 500 = 5\)
    • Pack C: \(2800 \div 600 \approx 4\)
  2. Calculate Rice - Wheat difference for 1 unit of each pack:
    • Pack A: \(3 - 4 = -1\) kg
    • Pack B: \(4 - 3 = 1\) kg
    • Pack C: \(5 - 4 = 1\) kg
  3. To maximize the difference, buy combinations which have a net positive balance for Rice - Wheat:
    • Focus first on Pack B and C wherever possible as they both have a positive net difference.
    • One possible combination under the budget: 4 Pack B (Rs. 2000) + 1 Pack C (Rs. 600) = Rs. 2600 total
  4. Rice - Wheat for 4 Pack B and 1 Pack C:
    • Total Rice in 4 Pack B and 1 Pack C: \((4 \times 4) + 5 = 21\) kg
    • Total Wheat in 4 Pack B and 1 Pack C: \((4 \times 3) + 4 = 16\) kg
    • Difference: \(21 - 16 = 5\) kg

The largest excess of rice over wheat that can be purchased is thus 5 kg. Therefore, the correct option is 5 kg.

Was this answer helpful?

Important Questions from Number System (Notes)

  1. Which number system uses only digits 0 and 1?
  2. The sum of the digits of a 2-digit number is 12. When the digits of the number are interchanged, the number becomes 15 more than twice the original number. The original number is:
  3. What is the least number which, when divided by 7, 12 and 15 leaves 1 as the remainder in each case?
  4. If $\frac{1}{9!} + \frac{1}{10!} = \frac{x}{11!}$, then the value of x is:
  5. What will be the output, if we compute the 9's complement of the decimal number 782.54?
Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App