Question 1

A shopkeeper buys a table for ₹800 and sells it for ₹1,040. What is his profit percentage?

Accepted Answer

Step 1: Identify Cost Price (CP) = ₹800 and Selling Price (SP) = ₹1,040
Step 2: Calculate Profit = SP − CP = 1,040 − 800 = ₹240
Step 3: Apply Profit % formula = (Profit / CP) × 100
Step 4: Profit % = (240 / 800) × 100 = 0.30 × 100 = 30%
Therefore, the profit percentage is 30%.

Question 2

A shopkeeper buys 120 pens at ₹8 per pen. He sells 80 pens at ₹12 per pen and the remaining pens at ₹10 per pen. What is his overall profit percentage?

Accepted Answer

Step 1: Calculate Cost Price (CP). CP = 120 × ₹8 = ₹960. Step 2: Calculate Selling Price (SP) for 80 pens at ₹12 each. SP₁ = 80 × ₹12 = ₹960. Step 3: Calculate SP for remaining 40 pens at ₹10 each. SP₂ = 40 × ₹10 = ₹400. Step 4: Total SP = ₹960 + ₹400 = ₹1360. Step 5: Profit = SP - CP = ₹1360 - ₹960 = ₹400. Step 6: Profit % = (Profit / CP) × 100 = (400 / 960) × 100 = 41.67% ≈ 41⅔% or 125/3 %. This equals approximately 41.67%, which rounds to 41⅔% in fractional form or 125/3 %.

Question 3

A trader marks his goods 40% above the cost price and offers a discount of 20% on the marked price. Due to a faulty weighing machine, he gives only 800 g instead of 1000 g. What is his overall profit percentage?

Accepted Answer

Step 1: Let CP per 1000 g = 100. Marked Price = 140. After 20% discount, SP = 140 × 0.8 = 112. Step 2: But he gives only 800 g. So effective CP for 800 g = 80 (since CP of 1000 g = 100). Step 3: Profit % = [(112 − 80) / 80] × 100 = (32/80) × 100 = 40%. Therefore, answer is 40%.

Question 4

A trader buys 10 kg of sugar for ₹500. He sells it at ₹60 per kg. What is his total profit?

Accepted Answer

Step 1: Cost Price (CP) = ₹500 for 10 kg. Step 2: Selling Price (SP) = 60 × 10 = ₹600. Step 3: Profit = SP − CP = 600 − 500 = ₹100. Therefore, the total profit is ₹100.

Question 5

A vendor buys apples at ₹60 per dozen and sells them at ₹75 per dozen. What is the profit percentage?

Accepted Answer

Step 1: Cost Price per dozen = ₹60, Selling Price per dozen = ₹75. Step 2: Profit per dozen = 75 - 60 = ₹15. Step 3: Profit % = (Profit / CP) × 100 = (15 / 60) × 100 = 25%. Therefore, the profit percentage is 25%.

Question 6

A shopkeeper buys 100 notebooks at ₹5 each and sells 80 of them at ₹8 each. He sells the remaining at ₹3 each. What is his total profit?

Accepted Answer

Step 1: Total CP = 100 × 5 = ₹500. Step 2: SP of 80 notebooks = 80 × 8 = ₹640. Step 3: SP of remaining 20 notebooks = 20 × 3 = ₹60. Step 4: Total SP = 640 + 60 = ₹700. Step 5: Total Profit = 700 - 500 = ₹200. Therefore, the total profit is ₹200.

Question 7

A trader sells an item at ₹180 and incurs a loss of ₹20. What was the cost price of the item?

Accepted Answer

Step 1: Selling Price (SP) = ₹180, Loss = ₹20. Step 2: When there is a loss, Cost Price = SP + Loss. Step 3: CP = 180 + 20 = ₹200. Therefore, the cost price was ₹200.

Question 8

If the Cost Price of an article is ₹400 and the Selling Price is ₹500, what is the profit amount?

Accepted Answer

Step 1: Cost Price (CP) = ₹400, Selling Price (SP) = ₹500. Step 2: Profit = SP − CP = 500 − 400 = ₹100. Therefore, the profit amount is ₹100.

Question 9

A shopkeeper buys a pen for ₹12 and sells it for ₹15. What is his profit percentage?

Accepted Answer

Step 1: Cost Price (CP) = ₹12, Selling Price (SP) = ₹15. Step 2: Profit = SP - CP = 15 - 12 = ₹3. Step 3: Profit % = (Profit / CP) × 100 = (3 / 12) × 100 = 25%. Therefore, the profit percentage is 25%.

Question 10

A merchant buys 50 kg of rice at ₹40 per kg and sells it at ₹50 per kg. What is the total profit?

Accepted Answer

Step 1: Cost Price per kg = ₹40, Selling Price per kg = ₹50, Quantity = 50 kg. Step 2: Total CP = 40 × 50 = ₹2000. Step 3: Total SP = 50 × 50 = ₹2500. Step 4: Total Profit = SP - CP = 2500 - 2000 = ₹500. Therefore, the total profit is ₹500.

Question 11

A merchant sells a book at a loss of 10%. If the Cost Price is ₹200, what is the Selling Price?

Accepted Answer

Step 1: Cost Price (CP) = ₹200, Loss = 10%. Step 2: Loss amount = 10% of CP = (10/100) × 200 = ₹20. Step 3: Selling Price (SP) = CP − Loss = 200 − 20 = ₹180. Therefore, the Selling Price is ₹180.

Question 12

If a book is bought for ₹200 and sold for ₹240, what is the profit percentage?

Accepted Answer

Step 1: Cost Price (CP) = ₹200, Selling Price (SP) = ₹240. Step 2: Profit = SP - CP = 240 - 200 = ₹40. Step 3: Profit % = (Profit / CP) × 100 = (40 / 200) × 100 = 20%. Therefore, the profit percentage is 20%.

Question 13

A book is sold for ₹432 at a profit of 20%. If the book had been sold for ₹360, what would have been the loss percentage?

Accepted Answer

Step 1: Selling Price = ₹432, Profit = 20%. Using SP = CP × (1 + Profit%), we get 432 = CP × 1.20. Step 2: CP = 432 / 1.20 = ₹360. Step 3: If the book is sold for ₹360, then SP = ₹360. Step 4: Loss = CP - SP = 360 - 360 = ₹0. Step 5: Loss% = 0%. This means no profit, no loss (break-even).

Question 14

A book seller buys books at ₹250 per book. He offers a discount of 10% on the marked price and still makes a profit of 20%. What is the marked price of each book?

Accepted Answer

Step 1: Cost Price (CP) = ₹250. Step 2: Profit = 20%, so Selling Price (SP) = 250 × 1.20 = ₹300. Step 3: Let Marked Price = MP. Step 4: After 10% discount, SP = MP × 0.90. Step 5: So, MP × 0.90 = 300. Step 6: MP = 300 / 0.90 = ₹333.33 ≈ ₹333⅓.

Question 15

A retailer marks up goods by 50% above cost price. During a sale, he offers successive discounts of 20% and 10%. What is his overall profit or loss percentage?

Accepted Answer

Step 1: Let Cost Price = ₹100. Step 2: Marked Price = 100 + 50% of 100 = ₹150. Step 3: After first discount of 20%: Price = 150 × 0.80 = ₹120. Step 4: After second discount of 10%: Price = 120 × 0.90 = ₹108. Step 5: Selling Price = ₹108. Step 6: Profit = 108 - 100 = ₹8. Step 7: Profit % = (8/100) × 100 = 8%.

Question 16

A shopkeeper buys a shirt for ₹400 and marks it at 60% above the cost price. He then offers a discount of 25% on the marked price. What is his profit percentage?

Accepted Answer

Step 1: Cost Price (CP) = ₹400. Step 2: Marked Price (MP) = 400 + (60% of 400) = 400 + 240 = ₹640. Step 3: Discount = 25% of 640 = ₹160. Step 4: Selling Price (SP) = 640 - 160 = ₹480. Step 5: Profit = SP - CP = 480 - 400 = ₹80. Step 6: Profit% = (80/400) × 100 = 20%.

Question 17

A shopkeeper buys a watch for ₹800 and marks it at 60% above the cost price. If he gives a discount of 25% on the marked price, what is his profit percentage?

Accepted Answer

Step 1: Cost Price (CP) = ₹800. Step 2: Marked Price (MP) = 800 + (60% of 800) = 800 + 480 = ₹1280. Step 3: Discount = 25% of 1280 = ₹320. Step 4: Selling Price (SP) = 1280 - 320 = ₹960. Step 5: Profit = 960 - 800 = ₹160. Step 6: Profit % = (160/800) × 100 = 20%.

Question 18

A merchant sells two items. On the first item, he makes a profit of 25%, and on the second item, he makes a loss of 20%. If the cost price of both items is ₹400 each, what is his overall profit or loss percentage?

Accepted Answer

Step 1: Cost Price of Item 1 = ₹400, Profit = 25%, so SP₁ = 400 × 1.25 = ₹500. Step 2: Cost Price of Item 2 = ₹400, Loss = 20%, so SP₂ = 400 × 0.80 = ₹320. Step 3: Total CP = 400 + 400 = ₹800. Step 4: Total SP = 500 + 320 = ₹820. Step 5: Overall Profit = 820 - 800 = ₹20. Step 6: Profit % = (20/800) × 100 = 2.5%.

Question 19

A trader buys 120 kg of rice at ₹30 per kg. He sells 80 kg at ₹40 per kg and the remaining rice at ₹25 per kg. What is his overall profit or loss percentage?

Accepted Answer

Step 1: Total Cost Price = 120 × 30 = ₹3600. Step 2: Revenue from 80 kg sold at ₹40/kg = 80 × 40 = ₹3200. Step 3: Remaining rice = 120 - 80 = 40 kg. Step 4: Revenue from 40 kg sold at ₹25/kg = 40 × 25 = ₹1000. Step 5: Total Selling Price = 3200 + 1000 = ₹4200. Step 6: Profit = 4200 - 3600 = ₹600. Step 7: Profit % = (600/3600) × 100 = 16.67% ≈ 16⅔%.

Question 20

A vendor sells two items. On the first item, he makes a profit of 20% and on the second item, he makes a loss of 10%. If the cost price of each item is ₹500, what is his overall profit or loss percentage?

Accepted Answer

Step 1: Cost Price of Item 1 = ₹500, Profit = 20%, so SP₁ = 500 × 1.20 = ₹600. Step 2: Cost Price of Item 2 = ₹500, Loss = 10%, so SP₂ = 500 × 0.90 = ₹450. Step 3: Total CP = 500 + 500 = ₹1000. Step 4: Total SP = 600 + 450 = ₹1050. Step 5: Overall Profit = 1050 - 1000 = ₹50. Step 6: Overall Profit% = (50/1000) × 100 = 5%.

Question 21

A trader buys 50 kg of rice at ₹40 per kg. He sells 30 kg at ₹50 per kg and the remaining at ₹35 per kg. What is his overall profit or loss percentage?

Accepted Answer

Step 1: Total Cost Price = 50 × 40 = ₹2000. Step 2: Revenue from 30 kg = 30 × 50 = ₹1500. Step 3: Revenue from remaining 20 kg = 20 × 35 = ₹700. Step 4: Total Selling Price = 1500 + 700 = ₹2200. Step 5: Profit = 2200 - 2000 = ₹200. Step 6: Profit% = (200/2000) × 100 = 10%.

Question 22

A vendor buys oranges at ₹5 per dozen. He sells them at ₹0.50 per orange. If he buys 240 dozen oranges, what is his profit percentage?

Accepted Answer

Step 1: Cost Price = 240 dozen × ₹5 per dozen = ₹1200. Step 2: Total oranges = 240 × 12 = 2880 oranges. Step 3: Selling Price = 2880 × ₹0.50 = ₹1440. Step 4: Profit = 1440 - 1200 = ₹240. Step 5: Profit % = (240/1200) × 100 = 20%.

Question 23

A shopkeeper buys 120 articles at ₹45 per article. He sells 80% of them at ₹60 per article and the remaining at ₹36 per article. What is his overall profit percentage?

Accepted Answer

Step 1: Cost Price (CP) = 120 × 45 = ₹5,400. Step 2: Articles sold at ₹60 = 80% of 120 = 96 articles. Revenue from these = 96 × 60 = ₹5,760. Step 3: Remaining articles = 120 - 96 = 24 articles sold at ₹36. Revenue = 24 × 36 = ₹864. Step 4: Total Selling Price (SP) = 5,760 + 864 = ₹6,624. Step 5: Profit = 6,624 - 5,400 = ₹1,224. Step 6: Profit % = (1,224 / 5,400) × 100 = 22.67% ≈ 22⅔%.

SSC CHSL Basic Profit & Loss

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