6. Practice Question Set B — Moderate / Exam Level (30 MCQs)

This set is calibrated to the harder half of SSC CGL Tier-I, CHSL, and RRB NTPC papers, and to the general style of CGL Tier-II. Several questions here deliberately combine two ideas from Section 2 (e.g., markup with successive discount, or false weight with a profit target), and a few require working backward from a given numeric difference to find CP or MP — exactly as real papers do. Budget 35–42 minutes for all 30 on a first attempt; a strong CGL/CHSL aspirant should be able to bring this down to 24–28 minutes with practice, since none of these questions individually need more than 3–4 calculation steps once the correct shortcut is identified.

B1. [Markup + successive discount] A shopkeeper marks an article 50% above cost price and allows successive discounts of 20% and 10%. Find his profit or loss percentage. (a) 5% profit (b) 8% profit (c) 8% loss (d) 10% profit

B2. [Markup + false weight combined] A dealer marks up goods by 10% above CP, but also uses a weight of 800 g in place of 1 kg while selling. Find his actual profit percentage. (a) 32.5% (b) 35% (c) 37.5% (d) 40%

B3. [No profit no loss, unequal CP] A man bought two horses for a total of Rs 15,000. He sold one at 20% profit and the other at 10% loss, and on the whole neither gained nor lost. Find the CP of the horse sold at profit. (a) Rs 4000 (b) Rs 5000 (c) Rs 6000 (d) Rs 7500

B4. [Mixture CP, overall profit] A retailer buys 30 kg of rice at Rs 20/kg and 20 kg at Rs 25/kg, mixes them, and sells the entire mixture at Rs 26/kg. Find his overall profit percentage (approx.). (a) 15% (b) 16.5% (c) 18.18% (d) 20%

B5. [Triple successive discount] Find the SP of an article marked at Rs 4000 after successive discounts of 10%, 20%, and 25%. (a) Rs 2100 (b) Rs 2140 (c) Rs 2160 (d) Rs 2200

B6. [Reverse MP from profit+discount] A shopkeeper allows a discount of 10% on MP but still earns a profit of 26%. If CP = Rs 900, find the MP. (a) Rs 1200 (b) Rs 1230 (c) Rs 1260 (d) Rs 1300

B7. [Lemons – rate change type] By selling 45 lemons for Rs 40, a woman loses 20%. How many lemons should she sell for Rs 24 to gain 20%? (a) 15 (b) 16 (c) 18 (d) 20

B8. [Same SP, equal % trap] A man sold two watches for Rs 1980 each. On one he gained 10% and on the other he lost 10%. Find his overall loss (in Rs). (a) Rs 20 (b) Rs 36 (c) Rs 40 (d) Rs 44

B9. [Markup + successive discount, reverse for CP] A shopkeeper increases the price of an item by 40% and then offers successive discounts of 10% and 20%. If the final price is Rs 50.40 more than the original CP, find the CP. (a) Rs 6000 (b) Rs 6200 (c) Rs 6300 (d) Rs 6500

B10. [False weight] A dishonest dealer professes to sell his goods at cost price but uses a weight of 750 g for the kg weight. Find his gain percentage. (a) 25% (b) 30% (c) 33.33% (d) 37.5%

B11. [Markup + discount] A trader marks his goods 25% above CP and allows a discount of 12% for cash payment. Find his gain percentage. (a) 8% (b) 10% (c) 12% (d) 13%

B12. [Successive discount, find second] Two successive discounts on an article amount to a single discount of 32%. If the first discount is 20%, find the second discount percentage. (a) 12% (b) 15% (c) 16% (d) 18%

B13. [SP change relation] A shopkeeper sold an article at a loss of 8%. Had he sold it for Rs 198 more, he would have gained 10%. Find the CP. (a) Rs 1000 (b) Rs 1050 (c) Rs 1100 (d) Rs 1150

B14. [Weighted average, part profit part loss] A trader bought 200 articles at Rs 12 each. He sold 150 of them at a profit of 20% and the remaining at a loss of 5%. Find his overall profit percentage. (a) 12.5% (b) 13.75% (c) 14.5% (d) 15%

B15. [Reverse MP from discount+profit] A shopkeeper allows a 20% discount on the MP of an article and still earns a profit of 20%. If CP is Rs 640, find the MP. (a) Rs 900 (b) Rs 920 (c) Rs 950 (d) Rs 960

B16. [SP-change reverse for CP] A shopkeeper sold an article at a profit of 12%. Had he sold it for Rs 108 more, his profit would have been 20%. Find the cost price. (a) Rs 1200 (b) Rs 1250 (c) Rs 1300 (d) Rs 1350

B17. [Successive discount reverse for MP] After successive discounts of 25% and 15%, an article is sold for Rs 2040. Find its marked price. (a) Rs 3100 (b) Rs 3150 (c) Rs 3200 (d) Rs 3250

B18. [False weight reverse for w] A dishonest dealer, while professing to sell his goods at cost price, still manages to gain 60% by using a false weight instead of a standard kilogram weight. Find the weight he actually uses. (a) 600 g (b) 625 g (c) 650 g (d) 675 g

B19. [Partnership, mid-year capital increase] A and B enter a partnership with capitals of Rs 12,000 and Rs 16,000 respectively. After 6 months, A increases his capital by Rs 6000. If the total profit at the end of the year is Rs 6200, find B’s share. (a) Rs 2900 (b) Rs 3000 (c) Rs 3100 (d) Rs 3200

B20. [Weighted average, reverse ratio] A dealer sold part of his stock at a profit of 30% and the rest at a loss of 15%. If on the whole he neither gained nor lost, find the ratio (by cost value) of the stock sold at a profit to that sold at a loss. (a) 1:2 (b) 2:1 (c) 1:3 (d) 3:1

B21. [CP=100 method, markup+discount] A shopkeeper marks an article 60% above cost price and allows a discount of 20% on the marked price. Find his gain percent. (a) 24% (b) 26% (c) 28% (d) 30%

B22. [False weight + professed loss] A trader professes to sell at a loss of 6% but actually uses a weight of 800 g instead of 1 kg. Find his actual profit or loss percentage. (a) 15% profit (b) 16% profit (c) 17.5% profit (d) 18% profit

B23. [Markup + successive discount] A shopkeeper marks his goods 80% above cost price and then allows successive discounts of 25% and 10%. Find his overall profit or loss percentage. (a) 18% profit (b) 20% profit (c) 21.5% profit (d) 24% profit

B24. [No profit no loss, unequal CP] A man bought two bicycles for a total of Rs 7000. He sold one at a profit of 15% and the other at a loss of 20%, and on the whole transaction he neither gained nor lost. Find the cost price of the bicycle sold at a loss. (a) Rs 2500 (b) Rs 3000 (c) Rs 3500 (d) Rs 4000

B25. [Three-rate mixture] A trader mixes 20 kg of rice costing Rs 18/kg, 30 kg costing Rs 22/kg, and 10 kg costing Rs 30/kg, and sells the mixture at Rs 25/kg. Find his overall profit percentage (approx.). (a) 12.5% (b) 13.64% (c) 15% (d) 16.67%

B26. [Triple successive discount] Find the single discount equivalent to three successive discounts of 10%, 20%, and 10% on an article marked at Rs 5000. Also find the SP. (a) Rs 3200 (b) Rs 3220 (c) Rs 3240 (d) Rs 3260

B27. [Rate-change type, different numbers] By selling 20 oranges for Rs 80, a vendor loses 20%. How many oranges should he sell for Rs 75 to gain 25%? (a) 10 (b) 12 (c) 14 (d) 15

B28. [Reverse MP from discount+profit] A retailer allows a discount of 15% on the marked price of an article but still makes a profit of 19%. If the cost price is Rs 1700, find the marked price. (a) Rs 2340 (b) Rs 2360 (c) Rs 2380 (d) Rs 2400

B29. [Partnership, partner leaves + capital changes] A, B and C start a business with capitals of Rs 20,000, Rs 25,000, and Rs 30,000 respectively. After 4 months, A withdraws Rs 5000; after 6 months, C adds Rs 10,000 more. If the total profit at the end of the year is Rs 23,000, find B’s share. (a) Rs 7000 (b) Rs 7200 (c) Rs 7500 (d) Rs 7800

B30. [Markup + successive discount + false weight, hardest] A trader marks his goods 30% above cost price. He allows successive discounts of 20% and 5% to a customer, and also uses a weight of 950 g in place of 1 kg while weighing out the goods. Find his overall profit percentage. (a) 2% (b) 4% (c) 6% (d) 8%