SSC CGL Profit, Loss and Discount Verified Practice Test 9

1. Two items sold at ₹990 each. On one, gain is 10% and on other, loss is 10%. Overall:

• A. No loss no gain
• B. Loss of ₹20 (Correct)
• C. Loss of ₹22
• D. Gain of ₹20

Explanation: Same SP rule: loss = (10)²/100 % = 1%. Overall SP=1980, CP=990/0.9+990/1.1=1100+900=2000. Loss=₹20.

2. Successive discounts of 25% and 20%: effective discount:

• A. 40% (Correct)
• B. 42%
• C. 45%
• D. 50%

Explanation: 100−(0.75×0.8×100)=100−60=40%.

3. CP=₹250 and profit is 12%. SP is:

• A. ₹275
• B. ₹278
• C. ₹280 (Correct)
• D. ₹285

Explanation: SP=250×1.12=280.

4. By selling 25 items for ₹1, a man loses 4%. To gain 20%, he should sell items per ₹1 at:

• A. 20 (Correct)
• B. 21
• C. 22
• D. 24

Explanation: CP of 25 = 1/0.96. For 20% gain: SP=CP×1.2=1×1.2/0.96=1.25. So 1 rupee buys 1/1.25=0.8 items? Re-approach: SP=25/x. CP=25 items at 4% loss → CP×0.96=1 → CP=25/24 per item. SP to gain 20%=25/24×1.2=25/20. Items per ₹1 = 20.

5. A trader marks price 50% above CP and gives 20% discount. His gain percent:

• A. 16%
• B. 18%
• C. 20% (Correct)
• D. 22%

Explanation: SP=1.5CP×0.8=1.2CP. Gain=20%.

6. 100 mangoes are bought at ₹4 each. 20 rot. Remaining sold at what price per mango for 25% profit?

• A. ₹5
• B. ₹5.5
• C. ₹6
• D. ₹6.25 (Correct)

Explanation: Total CP=₹400. SP needed for 25% profit=₹500. Mangoes sold=80. SP per mango=500/80=₹6.25.

7. List price ₹1400, shopkeeper gives 10% discount, then 5% more. Final price:

• A. ₹1180
• B. ₹1190
• C. ₹1197 (Correct)
• D. ₹1200

Explanation: 1400×0.9=1260. 1260×0.95=1197.

8. A book sold at ₹540 incurs 10% loss. CP is:

• A. ₹580
• B. ₹596
• C. ₹600 (Correct)
• D. ₹610

Explanation: CP=540×100/90=600.

9. A shopkeeper gains 15% by selling for ₹2300. His CP is:

• A. ₹1900
• B. ₹1950
• C. ₹2000 (Correct)
• D. ₹2050

Explanation: CP=2300×100/115=2000.

10. SP=₹1140 after 5% discount. What is MP?

• A. ₹1160
• B. ₹1180
• C. ₹1200 (Correct)
• D. ₹1220

Explanation: MP×0.95=1140 → MP=1200.

11. A man buys pens at 10 for ₹5 and sells 8 for ₹5. Gain or loss percent:

• A. 25% gain (Correct)
• B. 25% loss
• C. 20% gain
• D. No change

Explanation: CP per pen=₹0.50. SP per pen=₹5/8=₹0.625. Profit%=0.125/0.5×100=25%.

12. After two successive discounts of d% each, net discount is:

• A. 2d%
• B. (2d−d²/100)% (Correct)
• C. (d+d²/100)%
• D. d²/100%

Explanation: Net discount = 100−(1−d/100)²×100 = 2d−d²/100.

13. SP = ₹585, gain = 17/2 %. CP = ?

• A. ₹520
• B. ₹540 (Correct)
• C. ₹560
• D. ₹580

Explanation: CP=585×200/217≈539.9≈540.

14. A person incurs 5% loss by selling watch at ₹855. At what price to gain 5%?

• A. ₹925
• B. ₹935
• C. ₹945 (Correct)
• D. ₹950

Explanation: CP=855/0.95=900. SP for 5% gain=900×1.05=945.

15. SP=₹1080 at 20% profit. Cost price:

• A. ₹850
• B. ₹875
• C. ₹900 (Correct)
• D. ₹925

Explanation: CP=1080×100/120=900.