{"id":232780,"date":"2025-06-12T07:17:05","date_gmt":"2025-06-12T07:17:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232780"},"modified":"2025-06-12T07:17:07","modified_gmt":"2025-06-12T07:17:07","slug":"caroline-bought-20-shares-of-stock-at-101-2-and-after-10-months-the-value-of-the-stocks-was-111-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/12\/caroline-bought-20-shares-of-stock-at-101-2-and-after-10-months-the-value-of-the-stocks-was-111-4\/","title":{"rendered":"Caroline bought 20 shares of stock at 101\/2, and after 10 months the value of the stocks was 111\/4."},"content":{"rendered":"\n

Caroline bought 20 shares of stock at 101\/2, and after 10 months the value of the stocks was 111\/4. If Caroline were to sell all her shares of this stock, how much profit would she make? A. 10 .B.25
25 C.
D.210<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answer: D. 210<\/strong><\/p>\n\n\n\n

Explanation:<\/strong><\/h3>\n\n\n\n

Caroline bought 20 shares<\/strong> of stock at 10\u00bd<\/strong> and sold them at 11\u00bc<\/strong> after 10 months. To find out how much profit<\/strong> she made, we need to calculate the total cost<\/strong> of the shares when she bought them and the total value<\/strong> when she sold them. Then, subtract the total cost from the total value to find the profit.<\/p>\n\n\n\n

\n\n\n\n

Step 1: Convert Mixed Numbers to Improper Fractions or Decimals<\/strong><\/h3>\n\n\n\n
    \n
  • Buying Price per Share<\/strong> = 10\u00bd = 10.5<\/li>\n\n\n\n
  • Selling Price per Share<\/strong> = 11\u00bc = 11.25<\/li>\n<\/ul>\n\n\n\n
    \n\n\n\n

    Step 2: Calculate the Total Cost<\/strong><\/h3>\n\n\n\n

    Caroline bought 20 shares at $10.5 each: Total Cost=20\u00d710.5=210\\text{Total Cost} = 20 \\times 10.5 = 210Total Cost=20\u00d710.5=210<\/p>\n\n\n\n

    \n\n\n\n

    Step 3: Calculate the Total Selling Price<\/strong><\/h3>\n\n\n\n

    Caroline sold the 20 shares at $11.25 each: Total Selling Price=20\u00d711.25=225\\text{Total Selling Price} = 20 \\times 11.25 = 225Total Selling Price=20\u00d711.25=225<\/p>\n\n\n\n

    \n\n\n\n

    Step 4: Calculate the Profit<\/strong><\/h3>\n\n\n\n

    Profit=Total Selling Price\u2212Total Cost\\text{Profit} = \\text{Total Selling Price} – \\text{Total Cost}Profit=Total Selling Price\u2212Total Cost Profit=225\u2212210=15\\text{Profit} = 225 – 210 = 15Profit=225\u2212210=15<\/p>\n\n\n\n

    Wait \u2014 this does not<\/strong> match any of the options given (A. 10, B. 25, C. 25, D. 210), but D. 210<\/strong> was suggested.<\/p>\n\n\n\n

    Let\u2019s re-evaluate carefully.<\/p>\n\n\n\n

    Ah! There\u2019s a mistake in the understanding of the question’s final step.<\/p>\n\n\n\n

    The correct profit<\/strong> is: 225\u2212210=15\\boxed{225 – 210 = 15}225\u2212210=15\u200b<\/p>\n\n\n\n

    So none of the choices match<\/strong> unless there’s a typo.<\/p>\n\n\n\n

    However, if the question was “How much did Caroline receive when she sold the stocks?”<\/strong>, then: 225\\boxed{225}225\u200b<\/p>\n\n\n\n

    And if the question was “How much did she pay initially?”<\/strong>, then: 210\\boxed{210}210\u200b<\/p>\n\n\n\n

    Thus, if option D. 210<\/strong> is listed and refers to the initial cost<\/strong>, then it is not<\/strong> the profit.<\/p>\n\n\n\n

    \n\n\n\n

    \u2705 Final Answer:<\/h3>\n\n\n\n

    Profit=15(Not among given options \u2014 likely a misprint)\\boxed{\\text{Profit} = 15} \\quad \\text{(Not among given options \u2014 likely a misprint)}Profit=15\u200b(Not among given options \u2014 likely a misprint)<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Caroline bought 20 shares of stock at 101\/2, and after 10 months the value of the stocks was 111\/4. If Caroline were to sell all her shares of this stock, how much profit would she make? A. 10 .B.2525 C.D.210 The Correct Answer and Explanation is: Correct Answer: D. 210 Explanation: Caroline bought 20 shares […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-232780","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232780","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=232780"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232780\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232780"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232780"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232780"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}