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Arithmetic
Ratio and Proportion
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RRB NTPC Graduate Tier 1 2025 Shift-1 📅 09 Jun, 2025

Some marbles are to be packed in four boxes, A, B, C and D, in the proportion of 6 : 3 : 7 : 5. If box B has 400 less marbles than box D, then how many marbles are there in total in all the boxes?

A
4000
B
4100
C
4200
D
3900
Result Summary
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RRB NTPC Graduate Tier 1
2025 • 09 Jun, 2025 • Shift-1
Some marbles are to be packed in four boxes, A, B, C and D, in the proportion of 6 : 3 : 7 : 5. If box B has 400 less marbles than box D, then how many marbles are there in total in all the boxes?
Correct Answer
4200
Proportional Analysis: The total marbles are distributed sequentially among boxes A, B, C, and D in the strict ratio of 6:3:7:5. Let the actual mathematical num......
Ref/Book : RRB NTPC Graduate Tier 1 2025
Ref. Subject Arithmetic
Chapter -
Ref. Topic Ratio and Proportion
Pg. No -
💡 Analysis & Explanation
Proportional Analysis ▼
The total marbles are distributed sequentially among boxes A, B, C, and D in the strict ratio of 6:3:7:5. Let the actual mathematical number of marbles in each box be 6x, 3x, 7x, and 5x respectively.
Difference Condition Setup ▼
Based on our algebraic assignment, Box B holds 3x marbles and Box D holds 5x marbles. The problem provides a direct comparative statement: Box D has 400 more than Box B. Therefore, we write the equation: 5x - 3x = 400.
Solving for the Base Value ▼
Simplifying the difference yields 2x = 400, which means the base multiplier x = 200.
Total Volume Calculation ▼
The aggregate number of marbles across all four boxes is represented by the sum of their ratio parts: 6x + 3x + 7x + 5x = 21x. Substituting the determined value of x into this total gives 21 * 200 = 4200.
Conclusion ▼
There are exactly 4200 marbles packed in total.
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