{"id":46664,"date":"2025-07-02T07:47:05","date_gmt":"2025-07-02T07:47:05","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=46664"},"modified":"2025-07-02T07:47:06","modified_gmt":"2025-07-02T07:47:06","slug":"a-house-had-decreased-in-value-by-35-since-it-was-purchased","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-house-had-decreased-in-value-by-35-since-it-was-purchased\/","title":{"rendered":"A house had decreased in value by 35% since it was purchased"},"content":{"rendered":"\n

A house had decreased in value by 35% since it was purchased . If the value now is 208,000, what was the value?<\/p>\n\n\n\n

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

To find the original value of the house, we need to reverse the 35% decrease. The house is now worth 208,000, and that represents 65% (100% – 35%) of its original value.<\/p>\n\n\n\n

We can express this as: Original Value=Current Value1\u2212Percentage Decrease\\text{Original Value} = \\frac{\\text{Current Value}}{1 – \\text{Percentage Decrease}}<\/p>\n\n\n\n

Substitute the given values into the equation: Original Value=208,0000.65\\text{Original Value} = \\frac{208,000}{0.65} Original Value=320,000\\text{Original Value} = 320,000<\/p>\n\n\n\n

Thus, the house was originally worth 320,000.<\/p>\n\n\n\n

Explanation<\/h3>\n\n\n\n
    \n
  1. Understanding the problem<\/strong>: The house has decreased in value by 35%. This means that 65% of the original value is the current price.<\/li>\n\n\n\n
  2. Setting up the formula<\/strong>:
    We know that the current value represents 65% of the original value. To find the original value, we divide the current value by 0.65. This is because 65% in decimal form is 0.65.<\/li>\n\n\n\n
  3. Calculating the original value<\/strong>:
    When we divide the current value (208,000) by 0.65, we get 320,000. This means that the house was originally worth 320,000 before the decrease in value.<\/li>\n\n\n\n
  4. Conclusion<\/strong>: The original value of the house was 320,000. After a decrease of 35%, its current value is 208,000. This method of calculation is helpful in determining the original price when a percentage decrease is known.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    A house had decreased in value by 35% since it was purchased . If the value now is 208,000, what was the value? The correct answer and explanation is: To find the original value of the house, we need to reverse the 35% decrease. The house is now worth 208,000, and that represents 65% (100% […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-46664","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46664","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=46664"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46664\/revisions"}],"predecessor-version":[{"id":46667,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46664\/revisions\/46667"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=46664"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=46664"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=46664"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}