Question
Download Solution PDF80 रुपये प्रति किलो गहू आणि 50 रुपये प्रति किलोचा गहू 1 ∶ 2 ∶ 3 या प्रमाणात तिसऱ्या जातीमध्ये मिसळला गेला. जर मिश्रण 75 रुपये प्रति किलो, नंतर प्रति किलो तिसऱ्या जातीची किंमत कशासमान असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
तांदळाच्या दोन जाती 80 रुपये प्रति किलो आणि 50 रुपये प्रति किलो अनुक्रमे 1 ∶ 2 ∶ 3 च्या प्रमाणात दुसऱ्या जातीमध्ये मिसळले जातात.
जर मिश्रण 75 रुपये प्रति किलो.
गणना:
चला तिसर्‍या जातीची किंमत x रुपये प्रति किलो
मिश्रणातील तांदळाच्या पहिल्या, दुसऱ्या आणि तिसऱ्या जातीचे गुणोत्तर 1 ∶ 2 ∶ 3 आहे.
मिश्रणातील तांदळाच्या पहिल्या, दुसऱ्या आणि तिसऱ्या जातीचे प्रमाण अनुक्रमे 1 किलो, 2 किलो आणि 3 किलो असू द्या.
⇒ मिश्रणाचे एकूण प्रमाण = (1 + 2 + 3) kg = 6 किग्रॅ
⇒ मिश्रणाची एकूण रक्कम रुपयांमध्ये = 1 × 80 + 2 × 50 + 3x = 180 + 3x
∵ प्रति किलो मिश्रणाची किंमत 75 रुपये
⇒ (180 + 3x) /6 = 75
⇒ 180 + 3x = 450
⇒ 3x = 270
⇒ x = 90 रुपये/किलो
म्हणून, आवश्यक मूल्य 90 रुपये/किलो आहे.
Last updated on Jun 13, 2025
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