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Question

A certain sum is divided in the ratio of 4:7. Suppose the share of the first person is Rs. 80, then what is the total sum?
  1. Rs. 240
  2. Rs. 220
  3. Rs. 260
  4. Rs. 280

A
Rs. 220
B
Rs. 240
C
Rs. 260
D
Rs. 280
Solution
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Let us assume that certain sum = X
since it is divided in a ratio of 4:7
hence, X = 4x + 7x
or 11x = X
since the share of the first person is Rs. 80
Hence , 4x = 80
x = 20
now, total sum X = 11×20 = 220 Rs.
Option A is correct.

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