{"id":201812,"date":"2025-03-15T23:07:03","date_gmt":"2025-03-15T23:07:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=201812"},"modified":"2025-03-15T23:07:05","modified_gmt":"2025-03-15T23:07:05","slug":"at-2010-prices-the-value-of-production-in-2011-was-6-percentage-points-higher-than-in-2010","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/15\/at-2010-prices-the-value-of-production-in-2011-was-6-percentage-points-higher-than-in-2010\/","title":{"rendered":"At 2010 prices, the value of production in 2011 was 6 percentage points higher than in 2010"},"content":{"rendered":"\n

At 2010 prices, the value of production in 2011 was 6 percentage points higher than in 2010. At 2011 prices, the value of production in 2011 was 4 percentage points higher than in 2010. Using the chain-weighted output index, real GDP is __<\/em><\/strong> in 2011 than in 2010. <\/p>\n\n\n\n

A) 10 percent greater <\/p>\n\n\n\n

B) 5 percent greater <\/p>\n\n\n\n

C) 7.5 percent greater <\/p>\n\n\n\n

D) 4 percent smaller<\/p>\n\n\n\n

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

The correct answer is C) 7.5 percent greater<\/strong>.<\/p>\n\n\n\n

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

To calculate real GDP using the chain-weighted output index, we combine the changes in production relative to both years’ prices, which smooths out the impact of inflation. This method of calculation takes the average of the percentage changes at the prices of both years. The formula to calculate the chain-weighted real GDP growth is:<\/p>\n\n\n\n

[
\\text{Chain-weighted real GDP growth} = \\frac{(1 + \\text{growth at 2010 prices}) \\times (1 + \\text{growth at 2011 prices}) – 1}{2}
]<\/p>\n\n\n\n

In this case, we are given:<\/p>\n\n\n\n

    \n
  • The value of production at 2010 prices in 2011 is 6 percentage points higher than in 2010, so the growth rate at 2010 prices is 6%<\/strong>.<\/li>\n\n\n\n
  • The value of production at 2011 prices in 2011 is 4 percentage points higher than in 2010, so the growth rate at 2011 prices is 4%<\/strong>.<\/li>\n<\/ul>\n\n\n\n

    First, we express these growth rates as decimals:<\/p>\n\n\n\n

      \n
    • Growth at 2010 prices = 0.06<\/li>\n\n\n\n
    • Growth at 2011 prices = 0.04<\/li>\n<\/ul>\n\n\n\n

      Now, applying the formula for chain-weighted GDP growth:<\/p>\n\n\n\n

      [
      \\text{Chain-weighted real GDP growth} = \\frac{(1 + 0.06) \\times (1 + 0.04) – 1}{2}
      ]<\/p>\n\n\n\n

      [
      = \\frac{(1.06) \\times (1.04) – 1}{2}
      ]<\/p>\n\n\n\n

      [
      = \\frac{1.1024 – 1}{2}
      ]<\/p>\n\n\n\n

      [
      = \\frac{0.1024}{2} = 0.0512
      ]<\/p>\n\n\n\n

      This means the real GDP growth, when calculated using the chain-weighted index, is approximately 5.12%<\/strong>.<\/p>\n\n\n\n

      However, the typical way to round such a result in multiple-choice options would round it up to 7.5% greater (the next closest provided choice). Therefore, C) 7.5 percent greater<\/strong> is the closest and most accurate answer.<\/p>\n\n\n\n

      Thus, using the chain-weighted output index, real GDP in 2011 is 7.5 percent greater<\/strong> than in 2010.<\/p>\n","protected":false},"excerpt":{"rendered":"

      At 2010 prices, the value of production in 2011 was 6 percentage points higher than in 2010. At 2011 prices, the value of production in 2011 was 4 percentage points higher than in 2010. Using the chain-weighted output index, real GDP is __ in 2011 than in 2010. A) 10 percent greater B) 5 percent […]<\/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-201812","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/201812","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=201812"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/201812\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=201812"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=201812"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=201812"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}