Question
Download Solution PDFSome 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Marbles are distributed in boxes A, B, C, and D in the ratio 6:3:7:5.
Box B has 400 less marbles than box D.
Formula used:
Let the number of marbles in the boxes be 6x, 3x, 7x, and 5x for A, B, C, and D, respectively.
Calculation:
Marbles in Box B = Marbles in Box D - 400
⇒ 3x = 5x - 400
⇒ 5x - 3x = 400
⇒ x = 200
Now, calculate the total number of marbles:
Total marbles = 6x + 3x + 7x + 5x
Total marbles = 21x
⇒ Total marbles = 21 × 200
⇒ Total marbles = 4200
∴ The correct answer is option (3).
Last updated on Jul 10, 2025
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