IB ACIO Grade II previous year question
Three types of oils are mixed: 100 litres of A, 85 litres of B and 65 litres of C. If the cost of the oils A, B and C per one litre are in the ratio 14 : 13 : 11 and the cost of one litre of mixed oil is ₹64.40, then what is the total cost of 3 tins of 10 litres each of three oils?
Asked in IB ACIO Grade II (16 Sep 2025 Shift 2) · Quantitative Aptitude
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Correct answer: (D) ₹1,900
Let per-litre costs be 14x, 13x, 11x. Total cost of mix = 100(14x)+85(13x)+65(11x) = 1400x+1105x+715x = 3220x. Total litres = 250. Cost/litre = 3220x/250 = 64.40 → x = 5. So per-litre costs: A=₹70, B=₹65, C=₹55. Cost of 10L each = 10(70+65+55) = 10×190 = ₹1,900.
हिंदी में प्रश्न
तीन प्रकार के तेल मिश्रित किए जाते हैं: A के 100 लीटर, B के 85 लीटर और C के 65 लीटर। यदि तेल A, B और C की प्रति लीटर लागत 14:13:11 के अनुपात में है और एक लीटर मिश्रित तेल की लागत ₹64.40 है, तो ऐसे 3 टिनों की कुल कीमत कितनी होगी जिनमें तीनों तेल 10-10 लीटर की मात्रा में हैं?
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सही उत्तर: (D) ₹1,900
मान लें प्रति लीटर लागत 14x, 13x, 11x है। मिश्रण की कुल लागत = 100(14x)+85(13x)+65(11x) = 1400x+1105x+715x = 3220x। कुल लीटर = 250। लागत/लीटर = 3220x/250 = 64.40 → x = 5। अतः प्रति लीटर लागत: A=₹70, B=₹65, C=₹55। प्रत्येक 10L की लागत = 10(70+65+55) = 10×190 = ₹1,900।
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