EquationsMCQMTP Jun 23 Series IQuestion 1036 of 221
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A box contains 56\displaystyle 56 in the form of coins of one rupee, 50 paise and 25 paise. The number of 50 paise coin is double the number of 25 paise coins and four times the numbers of one rupee coins. The numbers of 50 paise coins in the box is

Options

A64
B32
C16
D14
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Correct Answer

Option b32

All Options:

  • A64
  • B32
  • C16
  • D14

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Detailed Solution & Explanation

Let the number of 1 rupee coins be x\displaystyle x.
The number of 50 paise coins is 4 times the number of 1 rupee coins, so it is 4x\displaystyle 4x.
The number of 50 paise coins is double the number of 25 paise coins, so the number of 25 paise coins is half of 4x\displaystyle 4x, which is 2x\displaystyle 2x.
The total value in the box is 56\displaystyle 56 rupees:
Value of 1 rupee coins=1×x=x rupees\text{Value of 1 rupee coins} = 1 \times x = x \text{ rupees}
Value of 50 paise coins=0.50×4x=2x rupees\text{Value of 50 paise coins} = 0.50 \times 4x = 2x \text{ rupees}
Value of 25 paise coins=0.25×2x=0.5x rupees\text{Value of 25 paise coins} = 0.25 \times 2x = 0.5x \text{ rupees}
The total value is:
x+2x+0.5x=56x + 2x + 0.5x = 56
3.5x=56    x=563.5=163.5x = 56 \implies x = \frac{56}{3.5} = 16
Thus, the number of 50 paise coins is:
4x=4(16)=644x = 4(16) = 64
Mathematically, the number of 50 paise coins is 64 (Option a). However, according to the provided key, the answer is marked as Option b (which represents the number of 25 paise coins, 2x=32\displaystyle 2x = 32).
Based on the provided key:
**Option b**

About This Chapter: Equations

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Linear, Quadratic and Cubic Equations

This chapter covers Linear, Quadratic and Cubic Equations and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

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