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Dnyanbhasha Marathi Pratishthan | ज्ञानभाषा मराठी प्रतिष्ठान

✍️ गणिताशी गट्टी प्रश्न क्र. १२० ✍️

✍️ गणिताशी गट्टी प्रश्न क्र. १२० ✍️

जगनने एक मोबाईल खरेदी केला आणि मगनला २०% नफ्याने विकला. मगनने तो मोबाईल छगनला २०% तोट्याने ९६०० रुपयांला विकला तर जगनने तो मोबाईल किती रुपयांला खरेदी केला होता?

➡️ उत्तर :-

जगनने मोबाईल x रुपयांना खरेदी केला असे मानू.

नफा = २०%

➡️ म्हणून,

मोबाईलची विक्री किंमत

= x + x चे २०%

= x + x × २०/१००

= x + x/५

= ( ५x + x )./५

= ६x/५

➡️ म्हणून,

जगनने मगनला ६x/५ रुपयांना मोबाईल विकला.

तोटा = २०%

➡️ म्हणून,

मोबाईलची विक्री किंमत

= (६x/५) – (६x/५) चे २०%

= (६x/५) – ( ६x/५)(२०/१००)

= (६x/५) – (६x/५)(१/५)

= (६x/५) – (६x/२५)

= (३०x – ६x)/२५

= २४x/२५

➡️ म्हणून,

मगनने छगनला २४x/२५ रुपयांना मोबाईल विकला.

➡️ दिलेल्या माहितीनुसार,

२४x/२५ = ९६००

∴ x = ९६०० × २५/२४

∴ x = ४०० × २५

∴ x = १०००० रूपये

➡️ म्हणून जगनने तो मोबाईल १०००० रुपयांना खरेदी केला होता.

 

©अजित तिजोरे – ८०९७६७०२०

#ज्ञानभाषामराठीप्रतिष्ठान

#गणिताशीगट्टी

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