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A trader's ledger records a loss of thousand rupees in June and a profit of thousand rupees in July. What is the net result for the two months together?

Class 7Rational NumbersRational Numbers
  • AA loss of thousand rupees
  • BA profit of 5 thousand rupees
  • CA profit of thousand rupees
  • DA loss of 5 thousand rupees

Step-by-Step Solution

Write the loss as a negative rational: . The result is positive, so it is a PROFIT of thousand rupees. Adding the two sizes as if both were gains gives , and copying the sign of the first month gives a "loss".
Answer: C) A profit of thousand rupees

Key idea: Operations on rationals

**Addition / subtraction**: same denominator → add/subtract numerators. Different denominator → bring to common denominator first.

**Multiplication**: (p/q) × (r/s) = (p×r)/(q×s). Sign rule from integers applies (same → +, different → −).

**Division**: multiply by the reciprocal. (p/q) ÷ (r/s) = (p/q) × (s/r), provided r ≠ 0.

Nothing new compared to fractions — just keep track of signs.

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