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The selling price of 84 items is equal to the cost price of 105 items. What is the percentage of profit gained in the transaction?
84 वस्तुओं का विक्रय मूल्य 105 वस्तुओं के क्रय मूल्य के बराबर है। लेन-देन में प्राप्त लाभ का प्रतिशत क्या है?
(A) (a) 28%
(B) (b) 20%
(C) (c) 25%
(D) (d) 21%
✅ Answer & Explanation
Sahi jawab: C) (c) 25%Explanation: Method 1 (Ratio Method): Step 1: Prashnanusar: 84 * SP = 105 * CP SP / CP = 105 / 84 = 5 / 4 Step 2: CP = 4 units, SP = 5 units. Profit = SP - CP = 5 - 4 = 1 unit. Step 3: Profit% = (Profit / CP) * 100% = (1 / 4) * 100% = 25%. Atah sahi vikalp (c) 25% hai. Method 2 (100-Base Method): Mana 1 vastu ka CP = ₹100. 105 vastuo ka CP = 105 * 100 = ₹10,500. Prashnanusar, 84 vastuo ka SP = ₹10,500. 1 vastu ka SP = 10500 / 84 = ₹125. Profit = 125 - 100 = ₹25. Profit% = 25%. Atah sahi uttar (c) hai.
The selling price of 80 items is equal to the cost price of 72 items. What is the percentage of loss incurred in the transaction?
80 वस्तुओं का विक्रय मूल्य 72 वस्तुओं के क्रय मूल्य के बराबर है। लेन-देन में हुई हानि का प्रतिशत क्या है?
(A) (a) 12%
(B) (b) 10%
(C) (c) 9%
(D) (d) 11\frac{1}{9}%
✅ Answer & Explanation
Sahi jawab: B) (b) 10%Explanation: Method 1 (Ratio Method): Step 1: Prashnanusar: 80 * SP = 72 * CP SP / CP = 72 / 80 = 9 / 10 Step 2: CP = 10 units, SP = 9 units. Loss = CP - SP = 10 - 9 = 1 unit. Step 3: Loss% = (Loss / CP) * 100% = (1 / 10) * 100% = 10%. Atah sahi vikalp (b) 10% hai. Method 2 (100-Base Method): Mana 1 vastu ka CP = ₹100. 72 vastuo ka CP = 72 * 100 = ₹7,200. 80 vastuo ka SP = ₹7,200. 1 vastu ka SP = 7200 / 80 = ₹90. Loss = 100 - 90 = ₹10. Loss% = 10%. Atah sahi uttar (b) hai.
A shopkeeper bought 30 books and sold 25 books for same price. What percentage had he gained or lost?
एक दुकानदार ने 30 किताबें खरीदीं और 25 किताबें उसी कीमत पर बेच दीं। उसे कितने प्रतिशत लाभ या हानि हुई?
(A) (a) 20% loss
(B) (b) 20% gain
(C) (c) 25% gain
(D) (d) 25% loss
✅ Answer & Explanation
Sahi jawab: B) (b) 20% gainExplanation: Method 1 (Ratio Method): Step 1: Prashnanusar: 25 kitabo ka SP = 30 kitabo ka CP 25 * SP = 30 * CP SP / CP = 30 / 25 = 6 / 5 Step 2: CP = 5 units, SP = 6 units. Profit = SP - CP = 6 - 5 = 1 unit. Step 3: Profit% = (Profit / CP) * 100% = (1 / 5) * 100% = 20% gain. Atah sahi vikalp (b) 20% gain hai. Method 2 (100-Base Method): Mana 1 kitab ka CP = ₹100. 30 kitabo ka CP = 30 * 100 = ₹3,000. 25 kitabo ka SP = ₹3,000. 1 kitab ka SP = 3000 / 25 = ₹120. Profit = 120 - 100 = ₹20. Profit% = 20% gain. Atah sahi uttar (b) hai.
If the selling price of 50 articles is equal to the cost price of 42 articles, then what is the approximate loss or profit percentage?
यदि 50 वस्तुओं का विक्रय मूल्य 42 वस्तुओं के क्रय मूल्य के बराबर है, तो अनुमानित हानि या लाभ प्रतिशत क्या है?
(A) (a) 8% profit
(B) (b) 16% loss
(C) (c) 10% loss
(D) (d) 20% profit
✅ Answer & Explanation
Sahi jawab: B) (b) 16% lossExplanation: Method 1 (Ratio Method): Step 1: Prashnanusar: 50 * SP = 42 * CP SP / CP = 42 / 50 = 21 / 25 Step 2: CP = 25 units, SP = 21 units. Loss = CP - SP = 25 - 21 = 4 units. Step 3: Loss% = (Loss / CP) * 100% = (4 / 25) * 100% = 16% loss. Atah sahi vikalp (b) 16% loss hai. Method 2 (100-Base Method): Mana 1 vastu ka CP = ₹100. 42 vastuo ka CP = 42 * 100 = ₹4,200. 50 vastuo ka SP = ₹4,200. 1 vastu ka SP = 4200 / 50 = ₹84. Loss = 100 - 84 = ₹16. Loss% = 16% loss. Atah sahi uttar (b) hai.
The cost price of 36 articles is the same as the selling price of N articles. If the profit is 20%, then the value of N is:
36 वस्तुओं का क्रय मूल्य N वस्तुओं के विक्रय मूल्य के समान है। यदि लाभ 20% है, तो N का मान क्या है?
(A) (a) 25
(B) (b) 42
(C) (c) 40
(D) (d) 30
✅ Answer & Explanation
Sahi jawab: D) (d) 30Explanation: Method 1 (Ratio Method): Step 1: Profit% = 20% = 1/5. CP : SP = 5 : 6. Step 2: Prashnanusar: 36 * CP = N * SP N / 36 = CP / SP N / 36 = 5 / 6 Step 3: N = (5 / 6) * 36 = 5 * 6 = 30. Atah sahi vikalp (d) 30 hai. Method 2 (100-Base Method): Mana 1 vastu ka CP = 100. 20% labh par, 1 vastu ka SP = 120. 36 vastuo ka kul CP = 36 * 100 = 3600. N vastuo ka kul SP = 3600. N * 120 = 3600 ==> N = 3600 / 120 = 30. Atah sahi uttar (d) hai.
The selling price of y items is equal to the cost price of 540 items. If the profit made is 44%, then find the value of y.
y वस्तुओं का विक्रय मूल्य 540 वस्तुओं के क्रय मूल्य के बराबर है। यदि अर्जित लाभ 44% है, तो y का मान ज्ञात कीजिए।
(A) (a) 375
(B) (b) 400
(C) (c) 360
(D) (d) 380
✅ Answer & Explanation
Sahi jawab: A) (a) 375Explanation: Method 1 (Ratio Method): Step 1: Profit% = 44% = 44/100 = 11/25. CP : SP = 25 : (25 + 11) = 25 : 36. Step 2: Prashnanusar: y * SP = 540 * CP y / 540 = CP / SP y / 540 = 25 / 36 Step 3: y = (25 / 36) * 540 = 25 * 15 = 375. Atah sahi vikalp (a) 375 hai. Method 2 (100-Base Method): Mana 1 vastu ka CP = 100. 44% labh par, 1 vastu ka SP = 144. 540 vastuo ka kul CP = 540 * 100 = 54,000. y vastuo ka kul SP = 54,000. y * 144 = 54,000 ==> y = 54000 / 144 = 375. Atah sahi uttar (a) hai.
The cost price of 240 articles is the same as the selling price of x articles. If profit is 20%, find the value of x.
240 वस्तुओं का क्रय मूल्य x वस्तुओं के विक्रय मूल्य के समान है। यदि लाभ 20% है, तो x का मान ज्ञात कीजिए।
(A) (a) 200
(B) (b) 210
(C) (c) 180
(D) (d) 240
✅ Answer & Explanation
Sahi jawab: A) (a) 200Explanation: Method 1 (Ratio Method): Step 1: Profit% = 20% = 1/5. CP : SP = 5 : 6. Step 2: Prashnanusar: 240 * CP = x * SP x / 240 = CP / SP x / 240 = 5 / 6 Step 3: x = (5 / 6) * 240 = 5 * 40 = 200. Atah sahi vikalp (a) 200 hai. Method 2 (100-Base Method): Mana 1 vastu ka CP = 100. 20% labh par, 1 vastu ka SP = 120. 240 vastuo ka kul CP = 240 * 100 = 24,000. x vastuo ka kul SP = 24,000. x * 120 = 24,000 ==> x = 24000 / 120 = 200. Atah sahi uttar (a) hai.
If the selling price of 15 items is equal to the cost price of 20 items, what is the percentage profit or loss?
यदि 15 वस्तुओं का विक्रय मूल्य 20 वस्तुओं के क्रय मूल्य के बराबर है, तो प्रतिशत लाभ या हानि क्या है?
(A) (a) 33.33% profit
(B) (b) 25% profit
(C) (c) 20% loss
(D) (d) 25% loss
✅ Answer & Explanation
Sahi jawab: A) (a) 33.33% profitExplanation: Method 1 (Ratio Method): Step 1: Prashnanusar: 15 * SP = 20 * CP SP / CP = 20 / 15 = 4 / 3 Step 2: CP = 3 units, SP = 4 units. Profit = SP - CP = 4 - 3 = 1 unit. Step 3: Profit% = (Profit / CP) * 100% = (1 / 3) * 100% = 33.33% profit. Atah sahi vikalp (a) 33.33% profit hai. Method 2 (100-Base Method): Step 1: Mana 1 vastu ka CP = ₹100. Step 2: 20 vastuo ka CP = 20 * 100 = ₹2,000. Step 3: 15 vastuo ka SP = ₹2,000 ==> 1 vastu ka SP = 2000 / 15 = ₹133.33. Step 4: Profit = 133.33 - 100 = ₹33.33 ==> Profit% = 33.33% profit. Atah sahi uttar (a) hai.
If the selling price of 40 articles is equal to the cost price of 50 articles, then the percentage gain is:
यदि 40 वस्तुओं का विक्रय मूल्य 50 वस्तुओं के क्रय मूल्य के बराबर है, तो लाभ प्रतिशत क्या है?
(A) (a) 25%
(B) (b) 20%
(C) (c) 35%
(D) (d) 30%
✅ Answer & Explanation
Sahi jawab: A) (a) 25%Explanation: Method 1 (Ratio Method): Step 1: Prashnanusar: 40 * SP = 50 * CP SP / CP = 50 / 40 = 5 / 4 Step 2: CP = 4 units, SP = 5 units. Profit = SP - CP = 5 - 4 = 1 unit. Step 3: Profit% = (Profit / CP) * 100% = (1 / 4) * 100% = 25%. Atah sahi vikalp (a) 25% hai. Method 2 (100-Base Method): Step 1: Mana 1 vastu ka CP = ₹100. Step 2: 50 vastuo ka CP = 50 * 100 = ₹5,000. Step 3: 40 vastuo ka SP = ₹5,000 ==> 1 vastu ka SP = 5000 / 40 = ₹125. Step 4: Profit = 125 - 100 = ₹25 ==> Profit% = 25%. Atah sahi uttar (a) hai.
If the selling price of 100 pens is equal to the cost price of 140 pens, find the profit percentage.
यदि 100 पेनों का विक्रय मूल्य 140 पेनों के क्रय मूल्य के बराबर है, तो लाभ प्रतिशत ज्ञात कीजिए।
(A) (a) 40%
(B) (b) 28.57%
(C) (c) 35%
(D) (d) 30%
✅ Answer & Explanation
Sahi jawab: A) (a) 40%Explanation: Method 1 (Ratio Method): Step 1: Prashnanusar: 100 * SP = 140 * CP SP / CP = 140 / 100 = 7 / 5 Step 2: CP = 5 units, SP = 7 units. Profit = SP - CP = 7 - 5 = 2 units. Step 3: Profit% = (Profit / CP) * 100% = (2 / 5) * 100% = 40%. Atah sahi vikalp (a) 40% hai. Method 2 (100-Base Method): Step 1: Mana 1 pen ka CP = ₹100. Step 2: 140 peno ka CP = 140 * 100 = ₹14,000. Step 3: 100 peno ka SP = ₹14,000 ==> 1 pen ka SP = 14000 / 100 = ₹140. Step 4: Profit = 140 - 100 = ₹40 ==> Profit% = 40%. Atah sahi uttar (a) hai.
The cost price of 44 items is the same as the selling price of x items. If the profit is 10%, then what is the value of x?
44 वस्तुओं का क्रय मूल्य x वस्तुओं के विक्रय मूल्य के समान है। यदि लाभ 10% है, तो x का मान क्या है?
(A) (a) 55
(B) (b) 40
(C) (c) 60
(D) (d) 50
✅ Answer & Explanation
Sahi jawab: B) (b) 40Explanation: Method 1 (Ratio Method): Step 1: Profit% = 10% = 1/10. CP : SP = 10 : 11. Step 2: Prashnanusar: 44 * CP = x * SP x / 44 = CP / SP x / 44 = 10 / 11 Step 3: x = (10 / 11) * 44 = 10 * 4 = 40. Atah sahi vikalp (b) 40 hai. Method 2 (100-Base Method): Step 1: Mana 1 vastu ka CP = 100. Step 2: 10% labh par, 1 vastu ka SP = 110. Step 3: 44 vastuo ka kul CP = 44 * 100 = 4400. Step 4: x vastuo ka kul SP = 4400 ==> x * 110 = 4400 ==> x = 4400 / 110 = 40. Atah sahi uttar (b) hai.
If 70% of the cost price of an article is equal to 40% of its selling price, what is the profit percentage?
यदि एक वस्तु के क्रय मूल्य का 70% उसके विक्रय मूल्य के 40% के बराबर है, तो लाभ प्रतिशत क्या है?
(A) (a) 85%
(B) (b) 80%
(C) (c) 70%
(D) (d) 75%
✅ Answer & Explanation
Sahi jawab: D) (d) 75%Explanation: Method 1 (Ratio Method): Step 1: Prashnanusar: 70% of CP = 40% of SP 70 * CP = 40 * SP SP / CP = 70 / 40 = 7 / 4 Step 2: CP = 4 units, SP = 7 units. Profit = SP - CP = 7 - 4 = 3 units. Step 3: Profit% = (Profit / CP) * 100% = (3 / 4) * 100% = 75%. Atah sahi vikalp (d) 75% hai. Method 2 (100-Base Method): Step 1: Mana CP = 100. Step 2: 70% of CP = 70. Step 3: 40% of SP = 70 ==> SP = (70 / 40) * 100 = 175. Step 4: Profit = SP - CP = 175 - 100 = 75 ==> Profit% = 75%. Atah sahi uttar (d) hai.
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