Question
Download Solution PDFएका डब्यामध्ये 25 लिटर दूध आहे. या डब्यातून 5 लिटर दूध बाहेर काढून त्याऐवजी पाणी टाकले जाते. ह्या प्रक्रियेची आणखी दोन वेळा पुनरावृत्ती होते. आता डब्यात किती दूध आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
एका डब्यामध्ये 25 लिटर दूध आहे. या डब्यातून 5 लिटर दूध बाहेर काढून त्याऐवजी पाणी टाकले जाते.
वापरलेली संकल्पना:
उरलेले प्रमाण = आरंभिक प्रमाण(1 - [काढलेला अपूर्णांक ])N (जेथे N = जितक्या वेळा प्रक्रिया पार पाडली ती संख्या)
गणना:
काढलेल्या दुधाचा अंश = 5/25 = 1/5
आता डब्यात दुधाचे प्रमाण शिल्लक आहे
⇒ 25(1 - 1/5)3
⇒ 25 × (4/5)3
⇒ 25 × 64/125
⇒ 12.8 लिटर
∴ डब्यात 12.8 लिटर दूध शिल्लक आहे.
Last updated on Jun 13, 2025
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