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AFCAT Quantitative Reasoning — practice by topic

Browse 34 questions across 17 Quantitative Reasoning topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Quantitative Reasoning topics

Ages (8)Basic Arithmetic (8)Boats and Streams (8)Partnership (8)Pipes and Cisterns (8)Profit Loss (8)Speed Distance (8)Speed, Distance and Time (8)Speed, Time and Distance (8)Time and Distance (8)Time, Speed and Distance (8)Time Speed Distance (8)Elementary Algebra (6)Ratio and Proportion (6)Number System (5)Profit and Loss (5)Averages (4)

Try a Quantitative Reasoning question

An item is bought for ₹400 and sold for ₹480. Find the gain percent.Read the answer and worked solution →A shopkeeper sells an item at a profit of $25\%$. If the cost price is ₹$240$, find the selling price.Read the answer and worked solution →A trader sold an article for ₹$828$ at a loss of $8\%$. At what price should he sell it to gain $12\%$?Read the answer and worked solution →By selling $33$ metres of cloth a man gains the cost price of $11$ metres of cloth. Find his gain percent.Read the answer and worked solution →

Worked practice questions

An item is bought for ₹400 and sold for ₹480. Find the gain percent.

  1. $15\%$
  2. $20\%$
  3. $25\%$
  4. $30\%$
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Correct answer: B. $20\%$

Gain $= 480 - 400 = 80$. Gain $\% = \dfrac{80}{400} \times 100 = 20\%$.

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A shopkeeper sells an item at a profit of $25\%$. If the cost price is ₹$240$, find the selling price.

  1. ₹$260$
  2. ₹$275$
  3. ₹$290$
  4. ₹$300$
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Correct answer: D. ₹$300$

SP $= \dfrac{(100 + \text{Gain}\%)}{100} \times \text{CP} = \dfrac{125}{100} \times 240 = ₹300$.

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A trader sold an article for ₹$828$ at a loss of $8\%$. At what price should he sell it to gain $12\%$?

  1. ₹$1008$
  2. ₹$990$
  3. ₹$1020$
  4. ₹$950$
Show answer and solution

Correct answer: A. ₹$1008$

First recover CP from the loss-side: $\text{CP} = \dfrac{100 \times \text{SP}}{100 - \text{Loss}\%} = \dfrac{100 \times 828}{92} = ₹900$. Then apply gain side: SP $= \dfrac{(100 + 12)}{100} \times 900 = ₹1008$.

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