UPSC Insta–DART (Daily Aptitude and Reasoning Test) 26 Dec 2025
Kartavya Desk Staff
Considering the alarming importance of CSAT in UPSC CSE Prelims exam and with enormous requests we received recently, InsightsIAS has started Daily CSAT Test to ensure students practice CSAT Questions on a daily basis. Regular Practice would help one overcome the fear of CSAT too.We are naming this initiative as Insta– DART – Daily Aptitude and Reasoning Test. We hope you will be able to use DART to hit bull’s eye in CSAT paper and comfortably score 100+ even in the most difficult question paper that UPSC can give you in CSP-2021. Your peace of mind after every step of this exam is very important for us.
Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).
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• Question 1 of 5 1. Question X and Y start a business with capitals in the ratio 6:5. After 4 months, X withdraws one-third of his capital for the remaining 8 months, while Y increases his capital by 50% for the remaining 8 months. If the total profit at year end is ₹34,000, what is Y’s share? (a) ₹18,000 (b) ₹19,000 (c) ₹20,000 (d) ₹22,000 Correct Answer: (c) Solution: Let initial capitals be X = 6k, Y = 5k. For first 4 months: • X = 6k × 4 • Y = 5k × 4 For next 8 months: • X = (6k − ⅓·6k) = 4k ⇒ 4k × 8 • Y = (5k + 50%) = 7.5k ⇒ 7.5k × 8 Total: • X = 24k + 32k = 56k • Y = 20k + 60k = 80k Ratio = 56 : 80 = 7 : 10 Total parts = 17 Y’s share = (10/17) × 34,000 = ₹20,000. Hence, option (c). Incorrect Answer: (c) Solution: Let initial capitals be X = 6k, Y = 5k. For first 4 months: • X = 6k × 4 • Y = 5k × 4 For next 8 months: • X = (6k − ⅓·6k) = 4k ⇒ 4k × 8 • Y = (5k + 50%) = 7.5k ⇒ 7.5k × 8 Total: • X = 24k + 32k = 56k • Y = 20k + 60k = 80k Ratio = 56 : 80 = 7 : 10 Total parts = 17 Y’s share = (10/17) × 34,000 = ₹20,000. Hence, option (c).
#### 1. Question
X and Y start a business with capitals in the ratio 6:5. After 4 months, X withdraws one-third of his capital for the remaining 8 months, while Y increases his capital by 50% for the remaining 8 months. If the total profit at year end is ₹34,000, what is Y’s share?
• (a) ₹18,000
• (b) ₹19,000
• (c) ₹20,000
• (d) ₹22,000
Answer: (c)
Solution: Let initial capitals be X = 6k, Y = 5k. For first 4 months: • X = 6k × 4 • Y = 5k × 4 For next 8 months: • X = (6k − ⅓·6k) = 4k ⇒ 4k × 8 • Y = (5k + 50%) = 7.5k ⇒ 7.5k × 8 Total: • X = 24k + 32k = 56k • Y = 20k + 60k = 80k Ratio = 56 : 80 = 7 : 10 Total parts = 17 Y’s share = (10/17) × 34,000 = ₹20,000. Hence, option (c).
Answer: (c)
Solution: Let initial capitals be X = 6k, Y = 5k. For first 4 months: • X = 6k × 4 • Y = 5k × 4 For next 8 months: • X = (6k − ⅓·6k) = 4k ⇒ 4k × 8 • Y = (5k + 50%) = 7.5k ⇒ 7.5k × 8 Total: • X = 24k + 32k = 56k • Y = 20k + 60k = 80k Ratio = 56 : 80 = 7 : 10 Total parts = 17 Y’s share = (10/17) × 34,000 = ₹20,000. Hence, option (c).
• Question 2 of 5 2. Question Two persons plan to hire a taxi. Person A has ₹9, which he finds is 60% of the taxi fare for both. His friend B gives him ₹7. Will the combined money be enough to pay the fare, and how much will be left or still needed? (a) Just sufficient, nothing left (b) ₹1 left after paying (c) ₹2 short of the fare (d) ₹3 left after paying Correct Answer: (b) Solution: Let taxi fare for both = F. 60% of F = 9 ⇒ F = (9 × 100) / 60 = ₹15. Total money = 9 + 7 = ₹16. Balance = 16 – 15 = ₹1 left. Hence, option (b) is correct. Incorrect Answer: (b) Solution: Let taxi fare for both = F. 60% of F = 9 ⇒ F = (9 × 100) / 60 = ₹15. Total money = 9 + 7 = ₹16. Balance = 16 – 15 = ₹1 left. Hence, option (b) is correct.
#### 2. Question
Two persons plan to hire a taxi. Person A has ₹9, which he finds is 60% of the taxi fare for both. His friend B gives him ₹7. Will the combined money be enough to pay the fare, and how much will be left or still needed?
• (a) Just sufficient, nothing left
• (b) ₹1 left after paying
• (c) ₹2 short of the fare
• (d) ₹3 left after paying
Answer: (b)
Solution: Let taxi fare for both = F. 60% of F = 9 ⇒ F = (9 × 100) / 60 = ₹15. Total money = 9 + 7 = ₹16. Balance = 16 – 15 = ₹1 left. Hence, option (b) is correct.
Answer: (b)
Solution: Let taxi fare for both = F. 60% of F = 9 ⇒ F = (9 × 100) / 60 = ₹15. Total money = 9 + 7 = ₹16. Balance = 16 – 15 = ₹1 left. Hence, option (b) is correct.
• Question 3 of 5 3. Question A shopkeeper marks an item 40% above its cost price and offers a discount of 25% on the marked price. What is the shopkeeper’s profit percentage approximately? (a) 5% (b) 10% (c) 15% (d) 20% Correct Answer: (a) Explanation: Let cost price = 100. Marked price = 100 × 1.40 = 140 Discount = 25%, so selling price = 140 × 0.75 = 105. Profit = 105 – 100 = 5. Profit % = 5%. Incorrect Answer: (a) Explanation: Let cost price = 100. Marked price = 100 × 1.40 = 140 Discount = 25%, so selling price = 140 × 0.75 = 105. Profit = 105 – 100 = 5. Profit % = 5%.
#### 3. Question
A shopkeeper marks an item 40% above its cost price and offers a discount of 25% on the marked price. What is the shopkeeper’s profit percentage approximately?
Answer: (a)
Explanation: Let cost price = 100. Marked price = 100 × 1.40 = 140 Discount = 25%, so selling price = 140 × 0.75 = 105. Profit = 105 – 100 = 5. Profit % = 5%.
Answer: (a)
Explanation: Let cost price = 100. Marked price = 100 × 1.40 = 140 Discount = 25%, so selling price = 140 × 0.75 = 105. Profit = 105 – 100 = 5. Profit % = 5%.
• Question 4 of 5 4. Question A person sells two items at the same selling price of Rs. 1200 each. On one he gains 20%, and on the other he loses 20%. What is the overall percentage gain/loss? (a) No profit no loss (b) 4% loss (c) 1% profit (d) 1% loss Correct Answer: (b) Explanation: Let the cost price of first item (with 20% gain) = x ⇒ SP = 1200 ⇒ x = 1200 / 1.20 = 1000 Second item sold at 20% loss: ⇒ SP = 1200 ⇒ CP = 1200 / 0.80 = 1500 Total CP = 1000 + 1500 = 2500 Total SP = 1200 + 1200 = 2400 Loss = 2500 − 2400 = 100 Loss% = 100/2500100=4% Incorrect Answer: (b) Explanation: Let the cost price of first item (with 20% gain) = x ⇒ SP = 1200 ⇒ x = 1200 / 1.20 = 1000 Second item sold at 20% loss: ⇒ SP = 1200 ⇒ CP = 1200 / 0.80 = 1500 Total CP = 1000 + 1500 = 2500 Total SP = 1200 + 1200 = 2400 Loss = 2500 − 2400 = 100 Loss% = 100/2500100=4%
#### 4. Question
A person sells two items at the same selling price of Rs. 1200 each. On one he gains 20%, and on the other he loses 20%. What is the overall percentage gain/loss?
• (a) No profit no loss
• (b) 4% loss
• (c) 1% profit
• (d) 1% loss
Answer: (b)
Explanation: Let the cost price of first item (with 20% gain) = x ⇒ SP = 1200 ⇒ x = 1200 / 1.20 = 1000
Second item sold at 20% loss: ⇒ SP = 1200 ⇒ CP = 1200 / 0.80 = 1500
Total CP = 1000 + 1500 = 2500 Total SP = 1200 + 1200 = 2400
Loss = 2500 − 2400 = 100 Loss% = 100/2500*100=4%
Answer: (b)
Explanation: Let the cost price of first item (with 20% gain) = x ⇒ SP = 1200 ⇒ x = 1200 / 1.20 = 1000
Second item sold at 20% loss: ⇒ SP = 1200 ⇒ CP = 1200 / 0.80 = 1500
Total CP = 1000 + 1500 = 2500 Total SP = 1200 + 1200 = 2400
Loss = 2500 − 2400 = 100 Loss% = 100/2500*100=4%
• Question 5 of 5 5. Question A trader mixes 26 kg of rice at ₹20/kg with 30 kg of another variety at ₹36/kg. He sells the mixture at ₹30/kg. What is his profit percentage? (a) No profit, no loss (b) 5% (c) 8% (d) 10% Correct Answer: (b) Explanation: Step 1: Calculate total cost price (CP): Cost of 26 kg @ ₹20 = 26 × 20 = ₹520 Cost of 30 kg @ ₹36 = 30 × 36 = ₹1080 Total quantity = 26 + 30 = 56 kg Total CP = ₹520 + ₹1080 = ₹1600 Step 2: Selling Price (SP): Mixture sold @ ₹30 per kg → SP = 56 × 30 = ₹1680 Step 3: Profit = SP − CP = 1680 − 1600 = ₹80 Profit % = (80 / 1600) × 100 = 5% Incorrect Answer: (b) Explanation: Step 1: Calculate total cost price (CP): Cost of 26 kg @ ₹20 = 26 × 20 = ₹520 Cost of 30 kg @ ₹36 = 30 × 36 = ₹1080 Total quantity = 26 + 30 = 56 kg Total CP = ₹520 + ₹1080 = ₹1600 Step 2: Selling Price (SP): Mixture sold @ ₹30 per kg → SP = 56 × 30 = ₹1680 Step 3: Profit = SP − CP = 1680 − 1600 = ₹80 Profit % = (80 / 1600) × 100 = 5%
#### 5. Question
A trader mixes 26 kg of rice at ₹20/kg with 30 kg of another variety at ₹36/kg. He sells the mixture at ₹30/kg. What is his profit percentage?
• (a) No profit, no loss
Answer: (b)
Explanation: Step 1: Calculate total cost price (CP):
• Cost of 26 kg @ ₹20 = 26 × 20 = ₹520
• Cost of 30 kg @ ₹36 = 30 × 36 = ₹1080
• Total quantity = 26 + 30 = 56 kg
• Total CP = ₹520 + ₹1080 = ₹1600
Step 2: Selling Price (SP):
• Mixture sold @ ₹30 per kg → SP = 56 × 30 = ₹1680
Step 3: Profit = SP − CP = 1680 − 1600 = ₹80 Profit % = (80 / 1600) × 100 = 5%
Answer: (b)
Explanation: Step 1: Calculate total cost price (CP):
• Cost of 26 kg @ ₹20 = 26 × 20 = ₹520
• Cost of 30 kg @ ₹36 = 30 × 36 = ₹1080
• Total quantity = 26 + 30 = 56 kg
• Total CP = ₹520 + ₹1080 = ₹1600
Step 2: Selling Price (SP):
• Mixture sold @ ₹30 per kg → SP = 56 × 30 = ₹1680
Step 3: Profit = SP − CP = 1680 − 1600 = ₹80 Profit % = (80 / 1600) × 100 = 5%
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