Question
Download Solution PDFकुछ एक रुपये, 50 पैसे और 25 पैसे के सिक्कों से मिलकर 93.75 रुपये बनते हैं और उनकी संख्या 3 ∶ 4 ∶ 5 के अनुपात में है। प्रत्येक प्रकार के सिक्कों की संख्या ज्ञात कीजिए?
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Detailed Solution
Download Solution PDFदिया गया है:
कुछ एक रुपये, 50 पैसे और 25 पैसे के सिक्कों से मिलकर 93.75 रुपये बनते हैं और उनकी संख्या 3 ∶ 4 ∶ 5 के अनुपात में है।
गणना:
मान लें कि एक रुपये, 50 पैसे और 25 पैसे के सिक्कों की संख्या क्रमशः 3x, 4x और 5x है।
प्रश्न के अनुसार,
3x × 1 + 4x × 0.50 + 5x × 0.25 = 93.75
⇒ 3x + 2x + 1.25x = 93.75
⇒ 6.25x = 93.75
⇒ x = 93.75/6.25
⇒ x = 15
इसलिए, (3 × 15) अर्थात 45 एक रुपये के सिक्के, (4 × 15) अर्थात 60, 50 पैसे के सिक्के और (5 × 15) अर्थात 75, 25 पैसे के सिक्के हैं।
∴ एक रुपये, 50 पैसे और 25 पैसे के क्रमशः 45, 60 और 75 सिक्के हैं।
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