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Two kirana shops close the week with these entries, money paid out being negative. Shop A: four payments of ₹85 each and one receipt of ₹300. Shop B: three payments of ₹120 each and one receipt of ₹250. Whose net change is the smaller integer?

Class 7Integers (Extended)Integers
  • AShop B, whose net change is −110
  • BShop A, whose net change is −40
  • CShop A, whose net change is −640
  • DNeither — both come to −75

Step-by-Step Solution

Shop A: 4 × (−85) + 300 = −340 + 300 = −40. Shop B: 3 × (−120) + 250 = −360 + 250 = −110. Since −110 lies further left than −40, Shop B has the smaller net change. The trap is calling −40 'smaller' because ₹40 is a smaller sum of money — for negative integers, further from zero means smaller. The figure −640 comes from treating the ₹300 receipt as another payment.
Answer: A) Shop B, whose net change is −110

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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