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Nawaz Sahrif spends 10% of his income in house rent, 20% of the rest on his children's education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is_______?

Correct answer: A. Rs.3600

  • A. Rs.3600
  • B. Rs.4000
  • C. Rs.4500
  • D. Rs.3000

Explanation

After paying 10% rent, 90% of the income remains. After spending 20% of that on education, 80% remains, and after spending 25% of that on miscellaneous causes, 75% remains; therefore, the amount left is 0.90 x 0.80 x 0.75 = 0.54 of income. Thus, 0.54x = Rs.1,944, giving x = Rs.1,944/0.54 = Rs.3,600. The likely trap is Rs.4,000, which applies all percentages directly to the original income instead of successively to the remainder.

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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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