Finance
Change SetupFinance
Official curriculum roadmap, subject/topic distribution, negative marking rules, pacing guidelines, and solved sample questions.
🎯 Mapped Subjects & Topic Question Distribution
💡 Strategic Preparation & Exam Hall Guidelines
To maximize your score on Finance, candidates are advised to follow a structured three-pass approach. In the First Pass, solve all direct recall and formula-based questions within 30 seconds each to secure foundational marks. In the Second Pass, tackle multi-step analytical and quantitative reasoning problems. In the Third Pass, review marked questions and verify calculations.
Practice with the interactive player below to evaluate your speed and accuracy under real exam pressure. Every question features full mathematical formulas, step-by-step worked solutions, and conceptual explanations vetted by Apex Rankers Academy subject matter specialists.
📝 Pre-Rendered Solved Sample Questions & Detailed Solutions
Review the solved problems below to understand question phrasing, answer choices, and step-by-step solution logic prior to starting the full interactive practice drill:
A $22\%$ deduction leaves $100\% - 22\% = 78\%$ of the gross salary.
\[ 0.78 \times G = 1600 \]
\[ G = \frac{1600}{0.78} \approx \text{Rs. } 2,051.28 \]
Therefore, the gross salary is nearly Rs. 2,051.
Aslam sells to Arshad at a 10% loss:
Price paid by Arshad = \(2000 \times (1 - 0.10) = 2000 \times 0.90 = \mathbf{\text{Rs. 1,800}}\)
Arshad sells to Akbar at a 10% loss:
Price paid by Akbar = \(1800 \times (1 - 0.10) = 1800 \times 0.90 = \mathbf{\text{Rs. 1,620}}\)
Akbar sells to Qumar at a 10% gain:
Price paid by Qumar = \(1620 \times (1 + 0.10) = 1620 \times 1.10 = \mathbf{\text{Rs. 1,782}}\)
Discount amount = \(2,000 \times 0.10 = \text{Rs. 200}\)
Price after 1st discount = \(2,000 - 200 = \text{Rs. 1,800}\)
Apply the second discount (5%) to the reduced price:
Discount amount = \(1,800 \times 0.05 = \text{Rs. 90}\)
Price after 2nd discount = \(1,800 - 90 = \text{Rs. 1,710}\)
Add the 10% sales tax to the final discounted price:
Sales tax amount = \(1,710 \times 0.10 = \text{Rs. 171}\)
Net amount paid = \(1,710 + 171 = \mathbf{\text{Rs. 1,881}}\)
\(\text{Loss }\%=\left(\frac{x}{10}\right)^{2}\)
Given \(x = 10\%\):
\(\text{Loss }\%=\left(\frac{10}{10}\right)^{2}=1^{2}=1\%\)
Step-by-Step ProofCalculate the Cost Price (CP) of the Radio (10% Gain):
\(\text{CP}_{1}=\frac{\text{Selling Price}}{1+\text{Gain }\%}=\frac{350}{1.10}=\text{Rs. }318.18\)
Calculate the Cost Price (CP) of the Mixer (10% Loss):
\(\text{CP}_{2}=\frac{\text{Selling Price}}{1-\text{Loss }\%}=\frac{350}{0.90}=\text{Rs. }388.89\)
Find the Totals:Total Cost Price:
\(\text{Rs. } 318.18 + \text{Rs. } 388.89 = \text{Rs. } 707.07\)
Total Selling Price:
\(\text{Rs. } 350 + \text{Rs. } 350 = \text{Rs. } 700.00\)
Calculate Net Loss Percentage:
\(\text{Net Loss}=\text{Rs. }707.07-\text{Rs. }700.00=\text{Rs. }7.07\)
\(\text{Loss }\%=\left(\frac{7.07}{707.07}\right)\times 100=1\%\)
First discount (10%):
\(100 - 10 = 90\)
Second discount (10% of 90):
\(90 - 9 = 81\)
Third discount (10% of 81):
\(81 - 8.1 = 72.9\)
Total equivalent discount:
\(100 - 72.9 = 27.1\)
MP=100+20=120
SP=$120\times\frac{(100-10)}{100}=108$.
Profit = 8%.
Calculate the profit percentage:
\(\text{Profit }\%=\left(\frac{\text{Profit}}{\text{Cost Price}}\right)\times 100\)
\(\text{Profit }\%=\left(\frac{4,500}{7,000}\right)\times 100\approx 64.28\%\)
When rounded to the nearest tenth, it gives 64.3%.
Given values:
Principal (\(P\)) = Rs. 1200
Simple Interest (\(SI\)) = Rs. 594
Time (\(T\)) = 6 years
Rearrange the formula to solve for Rate (\(R\)):
\(R=\frac{SI\times 100}{P\times T}\)
\(R=\frac{594\times 100}{1200\times 6}\)
\(R=\frac{59400}{7200}=8.25\%\)
Given values:
Principal (\(P\)) = Rs. 2,000
Rate (\(R\)) = 5%
Time (\(T\)) = 4 years
Calculate the amount:
\(A=2000\times \left(1+0.05\right)^{4}\)
\(A=2000\times (1.05)^{4}\)
\(A=2000\times 1.2155\approx \text{Rs. }2431.01\)
When rounded to the closest option, it gives Rs. 2,430.
Calculate total interest percentage over 4 years:
\(6.25\% \times 4 \text{ years} = 25\%\).
Set up the amount formula:
The total amount (\(A\)) equals the Principal (\(P\)) plus \(25\%\) of the Principal.
\(A=P+0.25P=1.25P\)
Solve for Principal (\(P\)):
\(2500=1.25P\)
\(P=\frac{2500}{1.25}=2000\)