{"id":5094,"date":"2021-12-02T18:51:37","date_gmt":"2021-12-02T18:51:37","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=5094"},"modified":"2022-01-03T07:25:56","modified_gmt":"2022-01-03T07:25:56","slug":"profit-and-loss-questions-with-solutions","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/profit-and-loss-questions-with-solutions\/","title":{"rendered":"Profit and loss questions with solutions"},"content":{"rendered":"

[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
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Profit and loss questions with solutions<\/h1>\n

[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” global_colors_info=”{}”]<\/p>\n

Profit and loss questions\u00a0<\/b><\/b><\/h2>\n

Let us first revise the basic concepts and formulas before solving the questions.<\/span><\/span><\/p>\n

    \n
  1. Cost Price = Buying price + Total overhead charges (if any)<\/span><\/li>\n
  2. Profit = Selling Price – Cost Price<\/span><\/li>\n
  3. Loss = Cost Price – Selling Price<\/span><\/li>\n
  4. \\text{ Profit }(\\text { in } \\%)=\\frac{\\text { Profit }}{\\text { Cost Price }} \\times 100=\\frac{\\text { Selling price }-\\text { Cost price }}{\\text { Cost Price }} \\times 100<\/span><\/li>\n
  5. \\text { Loss }(\\text { in } \\%)=\\frac{\\text { Loss }}{\\text { Cost Price }} \\times 100=\\frac{\\text { Cost price }-\\text { Selling price }}{\\text { Cost Price }} \\times 100<\/span><\/li>\n
  6. Marked Price = Selling price + Discount<\/span><\/li>\n
  7. \\text {\u00a0 Discount }(\\text { in } \\%)=\\frac{\\text { Discount }}{\\text { Marked Price }} \\times 100=\\frac{\\text { Marked Price }-\\text {Selling Price }}{\\text { Marked } \\text { Price }} \\times 100<\/span><\/li>\n<\/ol>\n

     <\/p>\n

    Solved examples<\/b><\/h2>\n

    <\/b><\/p>\n

    1. Vickey brought 10 apples for Rs 80 and sold them at Rs 100. Find his profit percentage.<\/strong><\/p>\n

    Solution:<\/strong><\/p>\n

    Cost price of 10 apples = Rs 80<\/span><\/p>\n

    Selling price of 10 apples = Rs 100<\/span><\/p>\n

    Profit = Selling Price \u2013 Cost price = Rs 100 \u2013 Rs 80 = Rs 20<\/span><\/p>\n

    Profit percentage =\\frac{\\text { Selling price-Cost price }}{\\text { Cost price }} \\times 100=\\frac{100-80}{80} \\times 100=\\frac{20}{80}\\times 100=25 \\%<\/span><\/span><\/p>\n

    Hence, Vickey got a profit of 25%.<\/span><\/p>\n

    <\/span><\/p>\n

    2. A shopkeeper sold a TV for Rs 50,000. He gained a profit of Rs 5000. Find the cost price of the TV.<\/strong><\/p>\n

    Solution:<\/strong><\/p>\n

    Selling Price = Rs 50,000<\/span><\/p>\n

    Profit = Rs 5000<\/span><\/p>\n

    Cost price = Selling Price \u2013 Profit = 50,000-5000 = Rs 45000<\/span><\/p>\n

    Hence, the cost price of the Tv is Rs 45,000.<\/span><\/p>\n

    <\/span><\/p>\n

    3. Mohit brought a second-hand motorcycle for Rs 20,000 and spent Rs 6,000 for repairing it. At what price should he sell the motorcycle to get a profit of 10%?<\/strong><\/p>\n

    Solution:<\/strong><\/p>\n

    Cost of the motorcycle brought by Mohit = Rs 20,000<\/span><\/p>\n

    Repairing charges = Rs 6000<\/span><\/p>\n

    Cost price = Rs 20,000 + Rs 6000 <\/span>= Rs 26,000<\/span><\/p>\n

    Profit = 10% of Cost Price<\/span><\/p>\n

    = 10% of Rs 26,000<\/span><\/p>\n

    =\\frac{10}{100} \\times 26,000<\/span><\/p>\n

    = Rs 2600<\/span><\/p>\n

    Selling Price = Cost price + Profit = Rs 26000 + Rs 2600 = Rs 28600<\/span><\/span><\/span><\/p>\n

    Hence Mohit should sell the motorcycle at Rs 28600 to get a profit of 10%.<\/span><\/p>\n

    <\/span><\/p>\n

    4. Priya brought a pair of shoes for Rs 1000. If the shopkeeper sold at 25% profit, Find the cost price of the shoes.<\/strong><\/p>\n

    Solution:<\/strong><\/p>\n

    Selling Price = Rs 1000<\/span><\/p>\n

    Profit percentage = 25 %<\/span><\/p>\n

    Let cost price be x.<\/span><\/p>\n

    Profit percentage =\\frac{\\text { Selling price-Cost Price }}{\\text { Cost Price }} \\times 100<\/span><\/span><\/span><\/p>\n

    \\Rightarrow 25=\\frac{1000-x}{x} \\times 100<\/span><\/span><\/p>\n

    \\Rightarrow \\quad 25 x=100,000-100 x<\/span><\/span><\/p>\n

    \\Rightarrow \\quad 25 x+100 x=100,000<\/span><\/span><\/p>\n

    \\Rightarrow \\quad 125 x=100,000<\/span><\/span><\/p>\n

    \\Rightarrow \\quad x=800<\/span><\/span><\/p>\n

    Hence the cost price for the pair of shoes is equal to Rs 800.<\/span><\/p>\n

     <\/p>\n

    5. A businessman brought an office for Rs 500,000. Find the selling price if he had 8% loss.<\/strong><\/p>\n

    Cost Price = Rs 500,000<\/span><\/p>\n

    Loss Percentage = 8%<\/span><\/p>\n

    Loss = 8% of Rs 500,000<\/span><\/p>\n

    =\\frac{8}{100} \\times 500,000<\/span><\/span><\/p>\n

    = 8 \u00d7 5000<\/span><\/p>\n

    = 40,000<\/span><\/span><\/p>\n

    Selling price = Cost price – loss<\/span><\/p>\n

    = 500,000 – 40,000<\/span><\/p>\n

    = 460,000<\/span><\/p>\n

    Hence the selling price of the office is Rs 460,000.<\/span><\/p>\n

    <\/span><\/p>\n

    6. A decorative piece was marked Rs 10,000. The shopkeeper offered a discount of 20%. Find the selling price of the decorative piece.<\/strong><\/p>\n

    Solution:<\/strong><\/p>\n

    Marked price = Rs 10,000<\/span><\/p>\n

    Let selling price be x.\u00a0<\/span><\/p>\n

    Discount = 20% of Marked Price<\/span><\/p>\n

    Marked price = Selling Price + discount<\/span><\/p>\n

    \u21d2 10,000 = <\/span>x + 2000<\/span><\/p>\n

    \u2234 x = 10,000 – <\/span>2000 = 8000<\/span><\/p>\n

    Hence the selling price of the decorative piece is equal to Rs 8000.<\/span><\/p>\n

    <\/span><\/p>\n

    7. A shopkeeper sold a dress with a marked price of\u00a0 Rs 800 after a discount of 5% but got a loss of Rs 100. Find the cost price of the dress.<\/strong><\/p>\n

    Solution:<\/strong><\/p>\n

    Marked Price = Rs 800<\/span><\/p>\n

    Discount Percentage = 5%<\/span><\/p>\n

    Loss = Rs 100<\/span><\/p>\n

    Discount = 5 % of marked price = 5% of Rs 800 =\\frac{5}{100} \\times 800=\\text{Rs} 40<\/span><\/span><\/p>\n

    Selling Price = Marked Price \u2013 Discount<\/span><\/p>\n

    \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0= Rs 800 \u2013 Rs 40<\/span><\/p>\n

    \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0= Rs 760<\/span><\/p>\n

    Cost Price = Selling Price + loss<\/span><\/p>\n

    \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0= Rs 760 + Rs 100<\/span><\/p>\n

    \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0= Rs 860<\/span><\/p>\n

    Hence the cost price of the dress is Rs 860.<\/span><\/p>\n

    <\/span><\/p>\n

    8. Priya brought two baskets for Rs 50 each. She sold 1 basket for Rs 60 and the other for Rs 45. Find profit or loss on both baskets. Also, find the total profit or loss.<\/strong><\/p>\n

    Solution:<\/strong><\/p>\n

    Basket 1<\/span><\/p>\n

    Cost Price = Rs 50<\/span><\/p>\n

    Selling Price = Rs 60<\/span><\/p>\n

    Since the cost price is less than the selling price, profit has occurred.<\/span><\/p>\n

    Profit = Selling price \u2013 Cost price<\/span><\/p>\n

    \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0= Rs 60 \u2013 Rs 50<\/span><\/p>\n

    \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0= Rs 10<\/span><\/p>\n

    <\/span><\/p>\n

    Basket 2<\/span><\/p>\n

    Cost Price = Rs 50<\/span><\/p>\n

    Selling Price = Rs 45<\/span><\/p>\n

    Since the cost price is more than the selling price, loss has occurred.<\/span><\/p>\n

    Loss = Cost price \u2013 Selling price<\/span><\/p>\n

    \u00a0 \u00a0 \u00a0 \u00a0 \u00a0=Rs 50 \u2013 Rs 45<\/span><\/p>\n

    \u00a0 \u00a0 \u00a0 \u00a0 \u00a0= Rs 5<\/span><\/p>\n

    Total Cost Price = Rs 50 + Rs 50 = Rs 100<\/span><\/p>\n

    Total selling price = Rs 60 + Rs 45 = Rs 105<\/span><\/p>\n

    Total profit = Rs 105 \u2013 Rs 100 = Rs 5<\/span><\/p>\n

    Total profit percentage =\\frac{\\text { Total cost } \\text { Price }}{\\text { Total }} \\times 100=\\frac{5}{100} \\times 100=5 \\%<\/span><\/span><\/p>\n

    Hence Priya got a total profit of 5%.<\/span><\/p>\n

     <\/p>\n

    9. Kavya bought 20 oranges for Rs 100 out of which 5 oranges turned bad. She sold the remaining at Rs 6. Find the profit or loss.\u00a0<\/strong><\/p>\n

    Also, find the profit or loss if no oranges turn bad.<\/strong><\/p>\n

    Solution:<\/strong><\/p>\n

    The total cost price of 20 oranges = Rs 100<\/span><\/p>\n

    Number of oranges that turned bad = 5<\/span><\/p>\n

    Remaining number of oranges sold by Kavya = 20 – 5 = 15<\/span><\/p>\n

    The selling price of 1 orange = Rs 6<\/span><\/p>\n

    The total selling price of 15 oranges = Rs <\/span>(6 \u00d7 <\/span>15) = Rs 90<\/span><\/p>\n

    Since the total cost price (Rs 100) is less than the total selling price (Rs 90), Kavya had a loss.<\/span><\/p>\n

    Total Loss = Rs 100 – Rs 90 = Rs 10<\/span><\/p>\n

    Total Loss percentage =\\frac{\\text { Total loss }}{\\text { Total cost price }} \\times 100=\\frac{10}{100} \\times 100=10 \\%<\/span><\/span><\/p>\n

    <\/span><\/p>\n

    <\/span><\/p>\n

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    Explore Other Topics<\/h1>\n

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    \n
    Geometry<\/a><\/div>\n
    Trigonometry<\/a><\/div>\n
    Operations<\/a><\/div>\n
    Numbers<\/a><\/div>\n<\/div>\n

    [\/et_pb_text][et_pb_text admin_label=”Related Concepts
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    Related Concepts<\/h1>\n

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    Profit Loss Formula<\/a><\/div>\n
    Ratio and Proportion Tricks<\/a><\/div>\n
    Unitary Method<\/a><\/div>\n

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    Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n
      <\/ol>\n

      Q1: Write the formula for profit per cent.
      <\/strong><\/h3>\n

      Ans: <\/strong>Profit ( in %) =\\frac{\\text { Selling Price-Cost Price }}{\\text { Cost Price }} \\times 100<\/span><\/span><\/span><\/p>\n

      Q2. Write the formula for loss percent
      <\/strong><\/h3>\n

      Ans: Loss( in %)=\\frac{\\text { Cost Price - Selling Price }}{\\text { Cost Price }} \\times 100<\/span><\/span><\/strong><\/strong><\/span><\/strong><\/p>\n

      Q3. Write the formula for a discount percent?
      <\/strong><\/h3>\n

      Ans: Discount ( in %) )=\\frac{\\text { Discount }}{\\text { Marked Price }} \\times 100=\\frac{\\text { Marked price }-\\text { Selling Price }}{\\text { Marked Price }} \\times 100<\/span><\/span><\/strong><\/p>\n

      [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

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