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Six friends jointly ran a food stall at a Diwali mela in Indore and ended with a loss of ₹1080, shared equally. Writing a loss as a negative integer, what is each friend's share?

Class 7Integers (Extended)Integers
  • A−₹1074
  • B₹180
  • C−₹180
  • D−₹6480

Step-by-Step Solution

Split the total loss equally: (−1080) ÷ 6 = −180, so each friend carries ₹180 of the loss. Answering ₹180 drops the minus sign and records a gain instead; −₹1074 subtracts the 6 rather than dividing by it; −₹6480 multiplies by 6, which would be the loss if each friend lost the full amount separately.
Answer: C) −₹180

Key idea: Dividing integers

The sign rule for division is **the same as for multiplication**: same signs → positive, different signs → negative.

12 ÷ 4 = 3
(−12) ÷ (−4) = 3
12 ÷ (−4) = −3
(−12) ÷ 4 = −3

Also: integer ÷ 1 = the integer; integer ÷ itself = 1; **never divide by 0** — division by zero is undefined.

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