Three utensils of 10 liters in which the ratio of petrol and kerosene is 2: 1, 3: 1, and 3: 2, respectively. If all the three utensils are given in a large pot, then find the ratio of petrol and kerosene in the new mixture? 10 लीटर के तीन बर्तनों में जिनमे पेट्रोल तथा केरोसिन का अनुपात क्रमशः 2:1, 3:1, और 3:2 है| अगर तीनो बर्तनों को एक बड़े बर्तन में डाल दिया जाए तो नए मिश्रण में पेट्रोल तथा केरोसिन का अनुपात ज्ञात कीजिए?
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79:86
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85:78
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59:121
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121:59
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78: 85
D
Correct answer
Explanation
Calculate the amount of petrol and kerosene in each utensil separately. Utensil 1 (2:1) has petrol = 10 × 2/3 = 20/3 L and kerosene = 10/3 L. Utensil 2 (3:1) has petrol = 10 × 3/4 = 7.5 L and kerosene = 2.5 L. Utensil 3 (3:2) has petrol = 10 × 3/5 = 6 L and kerosene = 4 L. Total petrol = 20/3 + 7.5 + 6 = 20/3 + 15/2 + 6 = (40 + 45 + 36)/6 = 121/3 L. Total kerosene = 10/3 + 2.5 + 4 = 10/3 + 5/2 + 4 = (20 + 15 + 24)/6 = 59/3 L. Ratio = 121/3 : 59/3 = 121:59. Option D matches this calculation.