Mathematics: Profitloss Alligation Mock Test – Free Online Practice

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Practice Questions (14 of 14)

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1. A merchant has 1000 kg of sugar, part of which he sells at a 10% profit and the rest at a 40% profit. He gains 20% on the whole. The quantity sold at 40% profit is:
   एक व्यापारी के पास 1000 किग्रा चीनी है, जिसका एक भाग वह 10% के लाभ पर और शेष भाग 40% के लाभ पर बेचता है। उसे कुल मिलाकर 20% का लाभ होता है। 40% लाभ पर बेची गई मात्रा है:
   (A) (a) 543\frac{1}{3} kg

   (B) (b) 383\frac{1}{3} kg

   (C) (c) 333\frac{1}{3} kg

   (D) (d) 443\frac{1}{3} kg
   ✅ Answer & Explanation

   Sahi jawab: C) (c) 333\frac{1}{3} kg

   Explanation: Method 1 (Alligation / Ratio Method): Step 1: Alligation rule lagayein: 10% profit 40% profit 20% (40 - 20) (20 - 10) 20 : 10 Ratio = 2 : 1. Step 2: Kul matra = 2 + 1 = 3 units. Step 3: Prashnanusar 3 units = 1000 kg ==> 1 unit = 1000 / 3 = 333\frac{1}{3} kg. Step 4: 40% labh par bechi gayi matra = 1 unit = 333\frac{1}{3} kg. Atah sahi vikalp (c) 333 1/3 kg hai. Method 2 (100-Base Method): Step 1: Mana 40% labh par bechi gayi matra = x kg, toh 10% labh par = (1000 - x) kg. Step 2: Total Profit equation: 10 * (1000 - x) + 40 * x = 20 * 1000. 10000 - 10x + 40x = 20000 30x = 10000 ==> x = 10000 / 30 = 1000 / 3 = 333\frac{1}{3} kg. Atah sahi uttar (c) hai.
2. Ramendra purchased some watermelons for ₹1,500. He sold one-fourth of them at a loss of 12%. At what gain percentage should the remaining watermelons be sold so as to gain 25% on the whole transaction (correct to two decimal places)?
   रामेंद्र ने ₹1,500 में कुछ तरबूज खरीदे। उसने उनमें से 1/4 भाग 12% की हानि पर बेच दिया। पूरे लेन-देन पर 25% का लाभ प्राप्त करने के लिए शेष तरबूजों को कितने प्रतिशत लाभ पर बेचा जाना चाहिए (दशमलव के दो स्थानों तक सही)?
   (A) (a) 37.33%

   (B) (b) 36.50%

   (C) (c) 35.25%

   (D) (d) 38.67%
   ✅ Answer & Explanation

   Sahi jawab: A) (a) 37.33%

   Explanation: Method 1 (Ratio Method): Step 1: Matra ka anupat nikalein: 1/4 becha gaya, shesh = 3/4. Anupat = 1 : 3 (Kul = 4 units). Step 2: Weighted badlav lagayein (Kul par target = 4 * (+25%) = +100%): 1 unit par -12% hani = 1 * (-12%) = -12%. Shesh 3 units par aavashyak labh = +100% - (-12%) = +112%. Step 3: Shesh hisse par labh% = 112% / 3 = 37.33%. Atah sahi vikalp (a) 37.33% hai. Method 2 (100-Base Method): Step 1: Kul CP = ₹1,500 = 100%. Kul aavashyak SP (25% labh) = 1500 * 1.25 = ₹1,875. Step 2: 1/4 CP = 1500 / 4 = ₹375. 1/4 bhag ka SP (12% hani) = 375 * 0.88 = ₹330. Step 3: Shesh 3/4 CP = 1500 - 375 = ₹1,125. Shesh bhag ka aavashyak SP = 1875 - 330 = ₹1,545. Step 4: Shesh bhag par labh = 1545 - 1125 = ₹420. Profit% = (420 / 1125) * 100% = 42000 / 1125% = 112 / 3% ≈ 37.33%. Atah sahi uttar (a) hai.
3. Reyan purchased a laptop for ₹56,000 and a scanner-cum-printer for ₹22,000. He sold the laptop at 20% profit and the scanner-cum-printer at 15% profit. What is his profit percentage?
   रेयान ने ₹56,000 में एक लैपटॉप और ₹22,000 में एक स्कैनर-कम-प्रिंटर खरीदा। उसने लैपटॉप को 20% के लाभ पर और स्कैनर-कम-प्रिंटर को 15% के लाभ पर बेचा। उसका लाभ प्रतिशत क्या है?
   (A) (a) 18\frac{21}{37}%

   (B) (b) 18\frac{23}{39}%

   (C) (c) 12\frac{23}{39}%

   (D) (d) 12\frac{21}{37}%
   ✅ Answer & Explanation

   Sahi jawab: B) (b) 18\frac{23}{39}%

   Explanation: Method 1 (Ratio Method): Step 1: CP ka anupat nikalein: Laptop CP : Printer CP = 56,000 : 22,000 = 28 : 11. Kul CP = 28 + 11 = 39 units. Step 2: Weighted profit lagayein: Laptop (28 units) par 20% labh = 28 * 20% = 560%. Printer (11 units) par 15% labh = 11 * 15% = 165%. Kul labh = 560% + 165% = 725%. Step 3: Kul 39 units par labh% = 725% / 39 = 18\frac{23}{39}%. Atah sahi vikalp (b) 18 23/39% hai. Method 2 (100-Base Method): Step 1: Kul CP = 56,000 + 22,000 = ₹78,000. Step 2: Laptop par labh = 20% of 56,000 = ₹11,200. Printer par labh = 15% of 22,000 = ₹3,300. Kul labh = 11,200 + 3,300 = ₹14,500. Step 3: Profit% = (14500 / 78000) * 100% = 1450 / 78% = 725 / 39% = 18\frac{23}{39}%. Atah sahi uttar (b) hai.
4. Arvind has 650 kg of wheat. A part of which he sells at 9% profit and the rest at 19% profit to get 15% profit on the whole. What is the quantity (in kg) of wheat sold by Arvind at 9% profit?
   अरविंद के पास 650 किग्रा गेहूं है। जिसका एक भाग वह 9% के लाभ पर और शेष भाग 19% के लाभ पर बेचता है ताकि उसे कुल मिलाकर 15% का लाभ प्राप्त हो। अरविंद द्वारा 9% लाभ पर बेचे गए गेहूं की मात्रा (किग्रा में) क्या है?
   (A) (a) 260 kg

   (B) (b) 390 kg

   (C) (c) 195 kg

   (D) (d) 455 kg
   ✅ Answer & Explanation

   Sahi jawab: A) (a) 260 kg

   Explanation: Method 1 (Alligation / Ratio Method): Step 1: Alligation lagayein: 9% profit 19% profit 15% (19 - 15) (15 - 9) 4 : 6 Ratio = 2 : 3. Step 2: Kul matra = 2 + 3 = 5 units. Step 3: Prashnanusar 5 units = 650 kg ==> 1 unit = 650 / 5 = 130 kg. Step 4: 9% labh par bechi gayi matra = 2 units = 2 * 130 = 260 kg. Atah sahi vikalp (a) 260 kg hai. Method 2 (100-Base Method): Step 1: Mana 9% par bechi gayi matra = x kg ==> 19% par = (650 - x) kg. Step 2: 9x + 19(650 - x) = 15 * 650 9x + 12350 - 19x = 9750 10x = 12350 - 9750 = 2600 ==> x = 260 kg. Atah sahi uttar (a) hai.
5. A medical store owner purchased medicines worth ₹18,000 from a company. He sold 2/5 part of the medicine at a 35% loss. On which gain, he should sell the rest of the medicines so that he has neither gain nor loss?
   एक मेडिकल स्टोर मालिक ने एक कंपनी से ₹18,000 की दवाएं खरीदीं। उसने दवाओं का 2/5 भाग 35% की हानि पर बेचा। उसे शेष दवाओं को कितने प्रतिशत लाभ पर बेचना चाहिए ताकि उसे न तो लाभ हो और न ही हानि?
   (A) (a) 23\frac{1}{3}%

   (B) (b) 20\frac{2}{3}%

   (C) (c) 23\frac{2}{3}%

   (D) (d) 20\frac{1}{3}%
   ✅ Answer & Explanation

   Sahi jawab: C) (c) 23\frac{2}{3}%

   Explanation: Method 1 (Ratio Method): Step 1: Matra ka anupat nikalein: Becha gaya bhag = 2 units, Shesh bhag = 5 - 2 = 3 units (Kul = 5 units). Step 2: Neither gain nor loss ka matlab kul prabhav = 0%. 2 units par -35% hani = 2 * (-35%) = -70%. Shesh 3 units par aavashyak labh = +70%. Step 3: Shesh hisse par labh% = 70% / 3 = 23\frac{1}{3}%? Wait, let's verify: 70 / 3 = 23 1/3% (Option a). Atah sahi vikalp (a) 23 1/3% hai. Method 2 (100-Base Method): Step 1: 2/5 bhag ka CP = (2/5) * 18,000 = ₹7,200. Shesh 3/5 bhag ka CP = (3/5) * 18,000 = ₹10,800. Step 2: 2/5 bhag par hani = 35% of 7,200 = ₹2,520. Step 3: Neither profit nor loss ke liye shesh bhag par ₹2,520 ka labh chahiye. Step 4: Shesh bhag par labh% = (2520 / 10800) * 100% = 2520 / 108% = 70 / 3% = 23\frac{1}{3}%. Atah sahi uttar (a) hai.
6. Shivam purchased two watches, first for ₹12000 and the second for ₹10000. He sold both the watches, first one at the profit of 10% and the second at a loss of 10%. What is the overall profit or loss?
   शिवम ने दो घड़ियाँ खरीदीं, पहली ₹12000 में और दूसरी ₹10000 में। उसने दोनों घड़ियों को बेचा, पहली को 10% के लाभ पर और दूसरी को 10% की हानि पर। कुल लाभ या हानि क्या है?
   (A) (a) 2.25% profit

   (B) (b) 2.25% loss

   (C) (c) 0.909% profit

   (D) (d) 0.909% loss
   ✅ Answer & Explanation

   Sahi jawab: C) (c) 0.909% profit

   Explanation: Method 1 (Ratio Method): Step 1: Dono ghadio ke CP ka anupat nikalein: CP1 : CP2 = 12000 : 10000 = 6 : 5. Kul CP = 6 + 5 = 11 units. Step 2: Weighted badlav lagayein: 6 units par +10% labh = 6 * (+10%) = +60%. 5 units par -10% hani = 5 * (-10%) = -50%. Net prabhav = +60% - 50% = +10%. Step 3: Kul 11 units par net pratishat: Overall% = +10% / 11 = 0.909% profit. Atah sahi vikalp (c) 0.909% profit hai. Method 2 (100-Base Method): Step 1: Kul CP = 12000 + 10000 = ₹22,000. Step 2: Pehli ghadi par labh = 10% of 12000 = +₹1,200. Dusri ghadi par hani = 10% of 10000 = -₹1,000. Net Labh = 1200 - 1000 = ₹200. Step 3: Profit% = (200 / 22000) * 100% = 20 / 22% = 10 / 11% ≈ 0.909% profit. Atah sahi uttar (c) hai.
7. Ram purchases two watches for ₹3500. By selling one watch at a profit of 25% and the other at a loss of 10% he neither earns profit nor suffers loss in the whole transaction. What is the cost price of each watch?
   राम ₹3500 में दो घड़ियाँ खरीदता है। एक घड़ी को 25% के लाभ पर और दूसरी को 10% की हानि पर बेचकर वह पूरे लेन-देन में न तो लाभ कमाता है और न ही हानि उठाता है। प्रत्येक घड़ी का क्रय मूल्य क्या है?
   (A) (a) ₹1500 and ₹2000

   (B) (b) ₹1500 and ₹1720

   (C) (c) ₹1000 and ₹2500

   (D) (d) ₹1250 and ₹2250
   ✅ Answer & Explanation

   Sahi jawab: C) (c) ₹1000 and ₹2500

   Explanation: Method 1 (Ratio Method): Step 1: Neither profit nor loss ka matlab: Pehli ka Labh = Dusri ki Hani. 25% of CP1 = 10% of CP2 CP1 / CP2 = 10 / 25 = 2 / 5 Step 2: CP1 : CP2 = 2 : 5. Kul CP = 2 + 5 = 7 units. Step 3: Prashnanusar 7 units = ₹3,500 ==> 1 unit = 3500 / 7 = ₹500. Step 4: CP1 = 2 * 500 = ₹1,000. CP2 = 5 * 500 = ₹2,500. Atah sahi vikalp (c) ₹1000 and ₹2500 hai. Method 2 (100-Base Method): Step 1: Alligation lagayein (Net result = 0%): +25% -10% 0% (0 - (-10)) (25 - 0) 10 : 25 Ratio = 2 : 5. Step 2: 7 units = 3500 ==> 1 unit = 500. CP1 = ₹1,000, CP2 = ₹2,500. Atah sahi uttar (c) hai.
8. A shopkeeper earns 10% on an investment but loses 20% on another investment. If the ratio of the two investments is 2 : 3, then the combined loss percentage is:
   एक दुकानदार को एक निवेश पर 10% का लाभ होता है लेकिन दूसरे निवेश पर 20% की हानि होती है। यदि दोनों निवेशों का अनुपात 2 : 3 है, तो संयुक्त हानि प्रतिशत क्या है?
   (A) (a) 5%

   (B) (b) 8%

   (C) (c) 10%

   (D) (d) 6%
   ✅ Answer & Explanation

   Sahi jawab: B) (b) 8%

   Explanation: Method 1 (Ratio Method): Step 1: Nivesh ka anupat = 2 : 3. Kul nivesh = 2 + 3 = 5 units. Step 2: Weighted badlav lagayein: 2 units par +10% labh = 2 * (+10%) = +20%. 3 units par 20% hani = 3 * (-20%) = -60%. Net prabhav = +20% - 60% = -40%. Step 3: Kul 5 units par net pratishat: Combined Loss% = -40% / 5 = -8% (Loss of 8%). Atah sahi vikalp (b) 8% hai. Method 2 (100-Base Method): Step 1: Mana pehla nivesh = ₹200, dusra nivesh = ₹300. Kul nivesh = 200 + 300 = ₹500. Step 2: Pehle par labh = 10% of 200 = +₹20. Dusre par hani = 20% of 300 = -₹60. Net Hani = 60 - 20 = ₹40. Step 3: Combined Loss% = (40 / 500) * 100% = 8%. Atah sahi uttar (b) hai.
9. A shopkeeper has 2220 kg of rice. A part of which he sells at a 20% profit and the rest at a 12% profit. He gains 18% on the whole. The quantity (in kg) sold at a 12% profit is:
   एक दुकानदार के पास 2220 किग्रा चावल है। जिसका एक भाग वह 20% लाभ पर और शेष 12% लाभ पर बेचता है। उसे पूरे पर 18% का लाभ होता है। 12% लाभ पर बेची गई मात्रा (किग्रा में) है:
   (A) (a) 555

   (B) (b) 1210

   (C) (c) 1665

   (D) (d) 425
   ✅ Answer & Explanation

   Sahi jawab: A) (a) 555

   Explanation: Method 1 (Ratio / Alligation Method): Step 1: Alligation lagayein: 20% profit 12% profit 18% (18 - 12) (20 - 18) 6 : 2 Ratio = 3 : 1. Step 2: Kul matra = 3 + 1 = 4 units. Step 3: 4 units = 2220 kg ==> 1 unit = 2220 / 4 = 555 kg. Step 4: 12% labh par bechi gayi matra = 1 unit = 555 kg. Atah sahi vikalp (a) 555 hai. Method 2 (100-Base Method): Step 1: Mana 12% par bechi gayi matra = x kg, toh 20% par bechi gayi matra = (2220 - x) kg. Step 2: 20 * (2220 - x) + 12 * x = 18 * 2220 44400 - 20x + 12x = 39960 8x = 44400 - 39960 = 4440 x = 4440 / 8 = 555 kg. Atah sahi uttar (a) hai.
10. Ramesh purchases a table and a chair for ₹3,900. He sells the table at a profit of 8% and the chair at a profit of 16%. He earns a profit of ₹540. What is the difference between the original price of the table and the chair?
    रमेश ₹3,900 में एक मेज और एक कुर्सी खरीदता है। वह मेज को 8% के लाभ पर और कुर्सी को 16% के लाभ पर बेचता है। वह ₹540 का लाभ अर्जित करता है। मेज और कुर्सी के मूल मूल्य के बीच क्या अंतर है?
    (A) (a) ₹2,100

    (B) (b) ₹1,800

    (C) (c) ₹1,900

    (D) (d) ₹1,700
    ✅ Answer & Explanation

    Sahi jawab: A) (a) ₹2,100

    Explanation: Method 1 (Ratio Method): Step 1: Alligation se anupat nikalein: Kul profit% = (540 / 3900) * 100% = 540 / 39% = 180 / 13%. Table (8% = 104/13%) Chair (16% = 208/13%) 180/13% (208 - 180) (180 - 104) 28 : 76 Ratio = 7 : 19. Step 2: Kul units = 7 + 19 = 26 units. 26 units = ₹3,900 ==> 1 unit = 3900 / 26 = ₹150. Step 3: Table aur Chair ke mulya ka antar = 19 - 7 = 12 units. Antar = 12 * 150 = ₹1,800? Wait, let's verify: Wait, 12 * 150 = 1800 (Option b). Wait, let's check option (a): ₹2,100, (b): ₹1,800. Table CP = 7 * 150 = ₹1,050. Chair CP = 19 * 150 = ₹2,850. Difference = 2850 - 1050 = ₹1,800 (Option b)! Atah sahi vikalp (b) ₹1,800 hai. Method 2 (100-Base Method): Step 1: Agar dono par 8% labh milta, toh labh = 8% of 3900 = ₹312. Step 2: Atirikt labh = 540 - 312 = ₹228. Yeh atirikt labh chair ke atirikt (16% - 8% = 8%) ke barabar hai. 8% of Chair = 228 ==> Chair CP = (228 / 8) * 100 = ₹2,850. Step 3: Table CP = 3900 - 2850 = ₹1,050. Step 4: Difference = 2850 - 1050 = ₹1,800. Atah sahi uttar (b) hai.
11. A bought a bag and a bottle for a total of ₹900. He sold the bottle at a profit of 12% and the bag at a profit of 20%. If he earned a total profit of ₹160.80, then calculate the cost price of the bottle.
    A ने कुल ₹900 में एक बैग और एक बोतल खरीदी। उसने बोतल को 12% के लाभ पर और बैग को 20% के लाभ पर बेचा। यदि उसने कुल ₹160.80 का लाभ अर्जित किया, तो बोतल के क्रय मूल्य की गणना कीजिए।
    (A) (a) ₹320

    (B) (b) ₹300

    (C) (c) ₹200

    (D) (d) ₹240
    ✅ Answer & Explanation

    Sahi jawab: D) (d) ₹240

    Explanation: Method 1 (Ratio Method): Step 1: Kul profit% = (160.80 / 900) * 100% = 160.8 / 9% = 17.866...% Alligation rule lagayein: Bottle (12%) Bag (20%) 17.866% (20 - 17.866) (17.866 - 12) 2.133... : 5.866... Ratio = (20 - 160.8/9) : (160.8/9 - 12) = (180 - 160.8) : (160.8 - 108) = 19.2 : 52.8 = 192 : 528 = 4 : 11. Step 2: Kul units = 4 + 11 = 15 units. Step 3: 15 units = ₹900 ==> 1 unit = 900 / 15 = ₹60. Step 4: Bottle ka CP = 4 units = 4 * 60 = ₹240. Atah sahi vikalp (d) ₹240 hai. Method 2 (100-Base Method): Step 1: Agar dono par 20% labh hota, toh kul labh = 20% of 900 = ₹180. Step 2: Labh me kami = 180 - 160.80 = ₹19.20. Step 3: Bottle par labh 20% ke badle 12% hai (kami = 8%). 8% of Bottle CP = ₹19.20. Step 4: Bottle CP = (19.20 / 8) * 100 = ₹240. Atah sahi uttar (d) hai.
12. A trader bought 640 kg of rice. He sold a part of the rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the ratio of the quantity of rice that he sold at a loss of 5% to that of the quantity that he sold at a profit of 20%?
    एक व्यापारी ने 640 किग्रा चावल खरीदा। उसने चावल का एक भाग 20% लाभ पर और शेष भाग 5% हानि पर बेचा। उसने पूरे लेन-देन में 15% का लाभ अर्जित किया। 5% की हानि पर बेचे गए चावल की मात्रा का 20% के लाभ पर बेचे गए चावल की मात्रा से अनुपात क्या है?
    (A) (a) 1 : 3

    (B) (b) 4 : 1

    (C) (c) 1 : 4

    (D) (d) 3 : 1
    ✅ Answer & Explanation

    Sahi jawab: C) (c) 1 : 4

    Explanation: Method 1 (Ratio Method): Step 1: Alligation lagayein: Profit (20%) Loss (-5%) 15% (15 - (-5)) (20 - 15) 20 : 5 20% profit : 5% loss = 4 : 1. Step 2: Prashnanusar 5% hani wale bhag ka 20% labh wale bhag se anupat poocha hai: Ratio (5% loss : 20% profit) = 1 : 4. Atah sahi vikalp (c) 1 : 4 hai. Method 2 (100-Base Method): Step 1: Mana 20% par x kg aur 5% hani par y kg becha gaya. Step 2: 20x - 5y = 15(x + y) 20x - 5y = 15x + 15y 5x = 20y ==> x / y = 20 / 5 = 4 / 1. Step 3: Anupat y : x = 1 : 4. Atah sahi uttar (c) hai.
13. Sushma bought 6 tables and 12 chairs for ₹12,000. She sold the tables at a profit of 15% and the chairs at a loss of 10%. If her total gain was ₹300, then the total cost of the tables was:
    सुषमा ने ₹12,000 में 6 मेजें और 12 कुर्सियाँ खरीदीं। उसने मेजों को 15% के लाभ पर और कुर्सियों को 10% की हानि पर बेचा। यदि उसका कुल लाभ ₹300 था, तो मेजों का कुल क्रय मूल्य था:
    (A) (a) ₹6000

    (B) (b) ₹5000

    (C) (c) ₹5400

    (D) (d) ₹4800
    ✅ Answer & Explanation

    Sahi jawab: A) (a) ₹6000

    Explanation: Method 1 (Ratio Method): Step 1: Kul profit% = (300 / 12000) * 100% = 30 / 12% = 2.5%. Step 2: Alligation lagayein: Tables (+15%) Chairs (-10%) +2.5% (2.5 - (-10)) (15 - 2.5) 12.5 : 12.5 Ratio = 1 : 1. Step 3: Kul CP = 1 + 1 = 2 units. 2 units = ₹12,000 ==> 1 unit = ₹6,000. Step 4: Tables ka kul CP = 1 unit = ₹6,000. Atah sahi vikalp (a) ₹6000 hai. Method 2 (100-Base Method): Step 1: Mana tables ka kul CP = T, toh chairs ka CP = 12,000 - T. Step 2: Net Profit = 15% of T - 10% of (12000 - T) = 300 0.15T - 1200 + 0.10T = 300 0.25T = 1500 ==> T = 1500 / 0.25 = ₹6,000. Atah sahi uttar (a) hai.
14. A person buys 5 tables and 9 chairs for ₹15,400. He sells the tables at 10% profit and chairs at 20% profit. If his total profit on selling all the tables and chairs is ₹2,080, what is the cost price of 3 chairs?
    एक व्यक्ति ₹15,400 में 5 मेजें और 9 कुर्सियाँ खरीदता है। वह मेजों को 10% लाभ पर और कुर्सियों को 20% लाभ पर बेचता है। यदि सभी मेजों और कुर्सियों को बेचने पर उसका कुल लाभ ₹2,080 है, तो 3 कुर्सियों का क्रय मूल्य क्या है?
    (A) (a) ₹1,800

    (B) (b) ₹1,600

    (C) (c) ₹1,500

    (D) (d) ₹1,200
    ✅ Answer & Explanation

    Sahi jawab: A) (a) ₹1,800

    Explanation: Method 1 (Ratio Method): Step 1: Agar sabhi par 10% labh milta, toh labh = 10% of 15,400 = ₹1,540. Step 2: Atirikt labh = 2,080 - 1,540 = ₹540. Yeh atirikt labh chairs ke atirikt 10% (20% - 10%) ke barabar hai. Step 3: 10% of 9 Chairs CP = ₹540 ==> 9 Chairs CP = 540 * 10 = ₹5,400. Step 4: 9 chairs ka CP = ₹5,400 ==> 3 chairs ka CP = (5400 / 9) * 3 = ₹1,800. Atah sahi vikalp (a) ₹1,800 hai. Method 2 (100-Base Method): Step 1: Mana 5 tables ka CP = T aur 9 chairs ka CP = C. T + C = 15,400. Step 2: 0.10T + 0.20C = 2,080. 10 se guna karne par: T + 2C = 20,800. Step 3: (T + 2C) - (T + C) = 20,800 - 15,400 ==> C (9 chairs ka CP) = ₹5,400. Step 4: 3 chairs ka CP = 5400 / 3 = ₹1,800. Atah sahi uttar (a) hai.

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