Q1): An item gets successive discounts of 20% and 15%. After that, 5% GST is added on the discounted price. If the final bill is ₹1428, what is the marked price?
A) ₹1800
B) ₹1900
C) ₹2000
D) ₹2100
Answer: C) ₹2000
Explanation:
- Step 1: Remaining after 20% discount = 80% = 0.80.
- Step 2: Remaining after 15% discount = 85% = 0.85.
- Step 3: Price after discounts = MP × (0.80 × 0.85) = MP × 0.68.
- Step 4: Add 5% GST ⇒ multiply by 1.05, so final = MP × 0.68 × 1.05 = MP × 0.714.
- Final: MP = 1428 ÷ 0.714 = 2000, so option C is correct.
Q2): A product has marked price ₹2500. It is first discounted by x% and then by 10%. If the final selling price is ₹1800, find x.
A) 16%
B) 18%
C) 20%
D) 24%
Answer: C) 20%
Explanation:
- Step 1: After x% discount, price becomes 2500 × (1 − x/100).
- Step 2: After 10% discount, price becomes 2500 × (1 − x/100) × 0.90.
- Step 3: Given 2500 × (1 − x/100) × 0.90 = 1800.
- Step 4: (1 − x/100) = 1800 ÷ 2250 = 0.80.
- Final: x = 20%, so option C is correct.
Q3): Marked price of an item is ₹1600. A discount of 25% is given, then VAT of 12% is added on the discounted price. What is the final price paid?
A) ₹1320
B) ₹1344
C) ₹1360
D) ₹1400
Answer: B) ₹1344
Explanation:
- Step 1: Discounted price = 1600 × (1 − 25/100) = 1600 × 0.75.
- Step 2: 1600 × 0.75 = 1200.
- Step 3: VAT = 12% of 1200 = 1200 × 0.12 = 144.
- Step 4: Final price = 1200 + 144 = 1344.
- Final: Final price is ₹1344, so option B is correct.
Q4): A value is decreased by 20% and then decreased again by 10%. By what percent should the final value be increased to get back the original value?
A) 30%
B) 36%
C) 38.89%
D) 40%
Answer: C) 38.89%
Explanation:
- Step 1: Let original value = 100.
- Step 2: After 20% decrease ⇒ 100 × 0.80 = 80.
- Step 3: After 10% decrease ⇒ 80 × 0.90 = 72.
- Step 4: Required increase% = (100 − 72) ÷ 72 × 100 = 28/72 × 100.
- Final: (28/72)×100 = 38.89%, so option C is correct.
Q5): Pass percentage increased from 40% to 52%. If 312 candidates passed after the increase (total candidates unchanged), how many candidates passed earlier?
A) 228
B) 240
C) 252
D) 260
Answer: B) 240
Explanation:
- Step 1: New pass% = 52%, and new passed = 312.
- Step 2: Total candidates = 312 ÷ 0.52 = 600.
- Step 3: Earlier pass% = 40% of total.
- Step 4: Earlier passed = 0.40 × 600 = 240.
- Final: Earlier passed is 240, so option B is correct.
Q6): A shopkeeper marks an item 50% above cost price, gives 20% discount on marked price, and then pays 5% commission on the selling price. What is his profit percent?
A) 10%
B) 12%
C) 14%
D) 16%
Answer: C) 14%
Explanation:
- Step 1: Assume cost price = 100.
- Step 2: Marked price = 100 × 1.50 = 150.
- Step 3: After 20% discount, selling price = 150 × 0.80 = 120.
- Step 4: Commission = 5% of 120 = 6, so net received = 120 − 6 = 114.
- Final: Profit% = (114 − 100) ÷ 100 × 100 = 14%, so option C is correct.
Q7): After giving a 10% discount on marked price, a seller still makes an 8% profit on cost price. Marked price is what percent of cost price?
A) 108%
B) 112%
C) 120%
D) 125%
Answer: C) 120%
Explanation:
- Step 1: Assume cost price = 100.
- Step 2: Profit 8% ⇒ selling price = 108.
- Step 3: Selling price is after 10% discount ⇒ SP = 0.90 × MP.
- Step 4: MP = 108 ÷ 0.90 = 120.
- Final: MP is 120% of CP, so option C is correct.
Q8): An item is sold at 20% discount on marked price. If the discount were 10%, the seller would gain ₹120 more. Find the marked price.
A) ₹1000
B) ₹1100
C) ₹1200
D) ₹1300
Answer: C) ₹1200
Explanation:
- Step 1: Let marked price = M.
- Step 2: SP at 20% discount = 0.80M.
- Step 3: SP at 10% discount = 0.90M.
- Step 4: Difference = 0.90M − 0.80M = 0.10M = 120.
- Final: M = 120 ÷ 0.10 = 1200, so option C is correct.
Q9): Marked price is ₹5000. Successive discounts of 30% and 20% are given. Then GST of 18% is added on the discounted price. What is the final bill?
A) ₹3240
B) ₹3304
C) ₹3360
D) ₹3420
Answer: B) ₹3304
Explanation:
- Step 1: After 30% discount ⇒ price = 5000 × 0.70 = 3500.
- Step 2: After 20% discount ⇒ price = 3500 × 0.80 = 2800.
- Step 3: GST = 18% of 2800 = 2800 × 0.18 = 504.
- Step 4: Final bill = 2800 + 504 = 3304.
- Final: Final bill is ₹3304, so option B is correct.
Q10): A shop gives 12% discount and additionally offers 8% cashback on the amount paid after discount. What is the effective overall discount percent?
A) 18%
B) 19.04%
C) 20%
D) 20.96%
Answer: B) 19.04%
Explanation:
- Step 1: After 12% discount, customer pays 88% = 0.88.
- Step 2: Cashback 8% means net paid becomes 92% of that paid amount.
- Step 3: Net paid factor = 0.88 × 0.92 = 0.8096.
- Step 4: Effective discount = 1 − 0.8096 = 0.1904 = 19.04%.
- Final: Effective discount is 19.04%, so option B is correct.
Q11): Price of rice increases by 25%. A family adjusts consumption so that total expenditure increases only by 10%. By what percent is consumption reduced?
A) 8%
B) 10%
C) 12%
D) 15%
Answer: C) 12%
Explanation:
- Step 1: Expenditure = Price × Quantity.
- Step 2: Price factor = 1.25, expenditure factor = 1.10.
- Step 3: Quantity factor = 1.10 ÷ 1.25 = 0.88.
- Step 4: Quantity becomes 88% of original.
- Final: Reduction = 100% − 88% = 12%, so option C is correct.
Q12): A is 20% less than B, and B is 25% less than C. A is what percent of C?
A) 50%
B) 55%
C) 60%
D) 75%
Answer: C) 60%
Explanation:
- Step 1: A = 80% of B = 0.80B.
- Step 2: B = 75% of C = 0.75C.
- Step 3: A = 0.80 × 0.75 × C = 0.60C.
- Step 4: 0.60C means 60% of C.
- Final: A is 60% of C, so option C is correct.
Q13): 72% of a number equals 45% of the same number plus 81. Find the number.
A) 250
B) 300
C) 350
D) 400
Answer: B) 300
Explanation:
- Step 1: Let the number be N.
- Step 2: 72% of N = 45% of N + 81 ⇒ 0.72N = 0.45N + 81.
- Step 3: Subtract 0.45N ⇒ 0.27N = 81.
- Step 4: N = 81 ÷ 0.27 = 300.
- Final: The number is 300, so option B is correct.
Q14): An item gets 10% discount on marked price and then an additional flat discount of ₹150. If the final selling price is ₹1200, what is the marked price?
A) ₹1350
B) ₹1400
C) ₹1500
D) ₹1600
Answer: C) ₹1500
Explanation:
- Step 1: Let marked price = M.
- Step 2: After 10% discount, price becomes 0.90M.
- Step 3: After flat ₹150 off, final price = 0.90M − 150.
- Step 4: Given 0.90M − 150 = 1200 ⇒ 0.90M = 1350.
- Final: M = 1350 ÷ 0.90 = 1500, so option C is correct.
Q15): Marked price is ₹2400. An x% discount is given first, then 20% discount on the reduced price. If the final selling price is ₹1632, find x.
A) 10%
B) 12%
C) 15%
D) 18%
Answer: C) 15%
Explanation:
- Step 1: After x% discount, price becomes 2400 × (1 − x/100).
- Step 2: After 20% discount, multiply by 0.80.
- Step 3: 2400 × (1 − x/100) × 0.80 = 1632.
- Step 4: 2400 × 0.80 = 1920, so (1 − x/100) = 1632 ÷ 1920 = 0.85.
- Final: x = 15%, so option C is correct.
Q16): A value is increased by 25%. Then 30% of the increased value is subtracted. What is the net percentage change from the original value?
A) 12.5% increase
B) 12.5% decrease
C) 5% decrease
D) No change
Answer: B) 12.5% decrease
Explanation:
- Step 1: Increase by 25% ⇒ multiply by 1.25.
- Step 2: Subtract 30% of the new value ⇒ remaining is 70% ⇒ multiply by 0.70.
- Step 3: Net factor = 1.25 × 0.70 = 0.875.
- Step 4: 0.875 means final is 87.5% of original.
- Final: Net change = 100% − 87.5% = 12.5% decrease, so option B is correct.
Q17): A store gives 10% discount. For online payments, it gives extra 2% discount on the already discounted price. What is the overall discount percent?
A) 11%
B) 11.8%
C) 12%
D) 12.2%
Answer: B) 11.8%
Explanation:
- Step 1: First discount 10% ⇒ pay 90% = 0.90.
- Step 2: Extra 2% on reduced price ⇒ pay 98% = 0.98.
- Step 3: Net paid factor = 0.90 × 0.98 = 0.882.
- Step 4: Overall discount = 1 − 0.882 = 0.118 = 11.8%.
- Final: Overall discount is 11.8%, so option B is correct.
Q18): An item is sold at 25% discount and the seller makes 20% profit. Keeping the same marked price, what discount should be given to make 10% profit?
A) 25%
B) 28.125%
C) 31.25%
D) 35%
Answer: C) 31.25%
Explanation:
- Step 1: Assume cost price = 100.
- Step 2: 20% profit ⇒ SP₁ = 120, and SP₁ = 75% of MP ⇒ 0.75MP = 120.
- Step 3: MP = 120 ÷ 0.75 = 160.
- Step 4: For 10% profit, SP₂ = 110, so discount = (MP − SP₂)/MP × 100 = (160 − 110)/160 × 100.
- Final: (50/160)×100 = 31.25%, so option C is correct.
Q19): A final bill is ₹1760 after giving 20% discount on marked price and then adding 10% tax on the discounted price. Find the marked price.
A) ₹1800
B) ₹1900
C) ₹2000
D) ₹2200
Answer: C) ₹2000
Explanation:
- Step 1: After 20% discount, price becomes 80% = 0.80 of MP.
- Step 2: Then 10% tax means multiply by 1.10.
- Step 3: Net factor = 0.80 × 1.10 = 0.88.
- Step 4: So 0.88 × MP = 1760 ⇒ MP = 1760 ÷ 0.88 = 2000.
- Final: Marked price is ₹2000, so option C is correct.
Q20): Two items have marked price ₹1000 each. Item 1 gets 30% discount and then 10% tax on the discounted price. Item 2 gets 20% discount and then 15% tax on the discounted price. What is the total amount paid?
A) ₹1650
B) ₹1690
C) ₹1710
D) ₹1750
Answer: B) ₹1690
Explanation:
- Step 1: Item 1 after 30% discount = 1000 × 0.70 = 700.
- Step 2: Tax 10% on 700 = 70, so Item 1 total = 700 + 70 = 770.
- Step 3: Item 2 after 20% discount = 1000 × 0.80 = 800.
- Step 4: Tax 15% on 800 = 120, so Item 2 total = 800 + 120 = 920.
- Final: Total paid = 770 + 920 = 1690, so option B is correct.