A group of 400 soldiers at border area had a provision for 31 days. After 28 days 280 soldiers from this group were called back. Find the number of days for which the remaining ration will be sufficient?

Option d: 10. Solution: A group of 400 soldiers has provisions for 31 days, which represents 400 × 31 = 12,400 soldier-days of ration. After 28 days, the ration consumed by the 400 soldiers is 400 × 28 = 11,200 soldier-days. The remaining ration is: Remaining Ration = 12,400 - 11,200 = 400 × (31 - 28) = 1,200 soldier-days At this point, 280 soldiers are called back. The remaining number of soldiers is: Remaining Soldiers = 400 - 280 = 120 soldiers Let the remaining ration last for D days for the 120 soldiers: 120 × D = 1,200 D = 10 days

Ratio, Proportion, Indices, LogarithmMCQPYQ Dec 22Question 805 of 305

All Questions

A group of $\displaystyle 400$ soldiers at border area had a provision for $\displaystyle 31$ days. After $\displaystyle 28$ days $\displaystyle 280$ soldiers from this group were called back. Find the number of days for which the remaining ration will be sufficient?

Options

\displaystyle 3

\displaystyle 6

\displaystyle 8

\displaystyle 10

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Correct Answer

✅ Option d — $\displaystyle 10$

All Options:

A $\displaystyle 3$
B $\displaystyle 6$
C $\displaystyle 8$
D $\displaystyle 10$

Detailed Solution & Explanation

A group of

\displaystyle 400

soldiers has provisions for

\displaystyle 31

days, which represents

\displaystyle 400 \times 31 = 12,400

soldier-days of ration.
After

\displaystyle 28

days, the ration consumed by the

\displaystyle 400

soldiers is

\displaystyle 400 \times 28 = 11,200

soldier-days.
The remaining ration is:

\text{Remaining Ration} = 12,400 - 11,200 = 400 \times (31 - 28) = 1,200 \text{ soldier-days}

At this point,

\displaystyle 280

soldiers are called back. The remaining number of soldiers is:

\text{Remaining Soldiers} = 400 - 280 = 120 \text{ soldiers}

Let the remaining ration last for

\displaystyle D

days for the

\displaystyle 120

soldiers:

120 \times D = 1,200 \implies D = 10 \text{ days}

About This Chapter: Ratio, Proportion, Indices, Logarithm

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Ratio, Proportion, Indices, Logarithms

This chapter covers Ratio, Proportion, Indices, Logarithms and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5-7 Marks weightage. Focus on understanding core concepts rather than memorizing.

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A group of 400\displaystyle 400400 soldiers at border area had a provision for 31\displaystyle 3131 days. After 28\displaystyle 2828 days 280\displaystyle 280280 soldiers from this group were called back. Find the number of days for which the remaining ration will be sufficient?