Q76. A shopkeeper buys a pen for Rs. 40 and sells it for Rs. 50. Find his profit and profit percent.
Formula → Profit = S.P. − C.P., Profit% = (Profit / C.P.) × 100
Substitution → 50 − 40 = 10; (10 / 40) × 100
Calculation → ¼ × 100 = 25
Final Answer → Profit = Rs. 10, Profit% = 25%
Q77. A man bought a book for Rs. 80 and sold it at a loss of 10%. Find the selling price.
Formula → S.P. = C.P. × (100 − Loss%) / 100
Substitution → 80 × (100 − 10) / 100
Calculation → 80 × 90 / 100 = 7200 / 100 = 72
Final Answer → S.P. = Rs. 72
Q78. Find the gain percent if C.P. = Rs. 320 and S.P. = Rs. 400.
Formula → Profit% = (S.P. − C.P.) / C.P. × 100
Substitution → (400 − 320) / 320 × 100
Calculation → 80 / 320 × 100 = ¼ × 100 = 25
Final Answer → Profit% = 25%
Q79. A fruit seller bought apples at Rs. 600 and sold them for Rs. 540. Find his loss%.
Formula → Loss% = (Loss / C.P.) × 100
Substitution → (600 − 540) / 600 × 100
Calculation → 60 / 600 × 100 = ¹/₁₀ × 100 = 10
Final Answer → Loss% = 10%
Q80. A toy is sold at Rs. 150 giving a profit of 20%. Find its cost price.
Formula → C.P. = (100 × S.P.) / (100 + Profit%)
Substitution → (100 × 150) / (100 + 20)
Calculation → 15000 / 120 = 125
Final Answer → C.P. = Rs. 125
Q81. A trader sold an article at Rs. 960 after giving a discount of 20% on the marked price. Find the marked price.
Formula → M.P. = (S.P. × 100) / (100 − Discount%)
Substitution → (960 × 100) / (100 − 20)
Calculation → 96000 / 80 = 1200
Final Answer → M.P. = Rs. 1,200
Q82. Find the selling price of an article marked at Rs. 600 after two successive discounts of 10% and 5%.
Formula → S.P. = M.P. × (100 − d₁)/100 × (100 − d₂)/100
Substitution → 600 × (90/100) × (95/100)
Calculation → 600 × 8550 / 10000 = 513
Final Answer → S.P. = Rs. 513
Q83. A man sold a watch for Rs. 1,200 gaining ⅕ of its cost. Find the cost price.
Formula → C.P. = S.P. × 100 / (100 + Gain%)
Substitution → 1200 × 100 / (100 + 20)
Calculation → 120000 / 120 = 1000
Final Answer → C.P. = Rs. 1,000
Q84. A trader gains 12½% on selling an article. If the C.P. is Rs. 480, find the S.P.
Formula → S.P. = C.P. × (100 + Gain%) / 100
Substitution → 480 × (100 + 25/2) / 100
Calculation → 480 × (225/2) / 100 = (480 × 225) / 200 = 540
Final Answer → S.P. = Rs. 540
Q85. A loss of 16⅔% is made on an article sold for Rs. 250. Find the cost price.
Formula → C.P. = (100 × S.P.) / (100 − Loss%)
Substitution → (100 × 250) / (100 − 50/3)
Calculation → 25000 / (250/3) = 300
Final Answer → C.P. = Rs. 300
Q86. A shopkeeper marks goods at 25% above cost and allows a discount of 10%. Find his gain%.
Formula → Net Gain% = M% − D% − (M%×D%)/100
Substitution → 25 − 10 − (25×10)/100
Calculation → 15 − 2½ = 12½
Final Answer → Gain% = 12½%
Q87. If cost price = Rs. 800 and selling price = Rs. 880, find profit%.
Formula → Profit% = (S.P. − C.P.) / C.P. × 100
Substitution → (880 − 800) / 800 × 100
Calculation → 80 / 800 × 100 = 10
Final Answer → Profit% = 10%
Q88. Find the selling price if C.P. = Rs. 540 and gain = 12½%.
Formula → S.P. = C.P. × (100 + Gain%) / 100
Substitution → 540 × (100 + 25/2) / 100
Calculation → 540 × 225/2 / 100 = (540 × 225)/200 = 607½
Final Answer → S.P. = Rs. 607.50
Q89. A shopkeeper bought an article at 10% discount on Rs. 600 and sold it at a profit of 20% on C.P. Find S.P.
Formula → C.P. = 600 × (100 − 10)/100 = 600 × 9/10 = 540
Substitution → S.P. = 540 × (100 + 20)/100 = 540 × 6/5 = 648
Final Answer → S.P. = Rs. 648
Q90. A dealer marked a radio at 30% above C.P. and allowed 10% discount. Find the gain%.
Formula → Gain% = M% − D% − (M%×D%)/100
Substitution → 30 − 10 − (30×10)/100
Calculation → 20 − 3 = 17
Final Answer → Gain% = 17%
Q91. A man sells an article at 25% loss. If S.P. = Rs. 150, find C.P.
Formula → C.P. = (100 × S.P.) / (100 − Loss%)
Substitution → (100 × 150) / (100 − 25)
Calculation → 15000 / 75 = 200
Final Answer → C.P. = Rs. 200
Q92. Find the gain or loss % when C.P. = Rs. 500 and S.P. = Rs. 450.
Formula → Loss% = (C.P. − S.P.) / C.P. × 100
Substitution → (500 − 450)/500 × 100
Calculation → 50 / 500 × 100 = 10
Final Answer → Loss% = 10%
Q93. An article costs Rs. 800 and is sold at Rs. 920 after allowing 8% discount. Find the marked price.
Formula → M.P. = (S.P. × 100) / (100 − D%)
Substitution → (920 × 100) / (100 − 8)
Calculation → 92000 / 92 = 1000
Final Answer → M.P. = Rs. 1,000
Q94. A trader sells a TV at 15% gain. If C.P. = Rs. 20,000, find S.P.
Formula → S.P. = C.P. × (100 + G%)/100
Substitution → 20000 × (100 + 15)/100
Calculation → 20000 × 115 / 100 = 23000
Final Answer → S.P. = Rs. 23,000
Q95. Find loss if C.P. = Rs. 1,500 and loss% = 8⅓%.
Formula → Loss = (C.P. × Loss%) / 100
Substitution → 1500 × 25/3 / 100
Calculation → (1500 × 25) / 300 = 125
Final Answer → Loss = Rs. 125
Q96. A bicycle was sold for Rs. 900 at 10% loss. Find its C.P.
Formula → C.P. = (100 × S.P.) / (100 − Loss%)
Substitution → (100 × 900) / (100 − 10)
Calculation → 90000 / 90 = 1000
Final Answer → C.P. = Rs. 1,000
Q97. A trader marks his goods 25% above cost and gives a discount of 20%. Find his gain or loss%.
Formula → Gain% = M% − D% − (M%×D%)/100
Substitution → 25 − 20 − (25×20)/100
Calculation → 5 − 5 = 0
Final Answer → No Gain, No Loss
Q98. A man bought a chair for Rs. 480 and sold it for Rs. 600. Find gain%.
Formula → Profit% = (S.P. − C.P.) / C.P. × 100
Substitution → (600 − 480)/480 × 100
Calculation → 120/480 × 100 = 25
Final Answer → Profit% = 25%
Q99. The marked price of an article is Rs. 750 and the discount is 12%. Find the selling price.
Formula → S.P. = M.P. × (100 − D%)/100
Substitution → 750 × (100 − 12)/100
Calculation → 750 × 88 / 100 = 660
Final Answer → S.P. = Rs. 660
Q100. An article costs Rs. 1,200. If sold at a loss of 15%, find S.P.
Formula → S.P. = C.P. × (100 − L%)/100
Substitution → 1200 × (100 − 15)/100
Calculation → 1200 × 85 / 100 = 1020
Final Answer → S.P. = Rs. 1,020
No comments:
Post a Comment