SSC CGL Tier-II practice question
paint costing Rs 20 per litre is mixed with a costlier variety in the ratio 5:3 to get a mixture worth Rs 32 per litre. Find the cost price of the costlier paint per litre.
From a SSC CGL Tier-II Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (C) Rs 52
By alligation, ratio cheaper : dearer = (Dearer price - Mean price) : (Mean price - Cheaper price). Given ratio = 5:3, cheaper price = Rs 20, mean price = Rs 32. So 5:3 = (D - 32) : (32 - 20), which gives D - 32 = (5/3) x (32 - 20) = (5/3) x 12 = 20. Therefore D = 32 + 20 = Rs 52 per litre.
हिंदी में प्रश्न
20 रुपये प्रति लीटर वाले पेंट को एक महंगी किस्म के साथ 5:3 के अनुपात में मिलाकर 32 रुपये प्रति लीटर का मिश्रण तैयार किया जाता है। महंगी किस्म के पेंट का मूल्य प्रति लीटर ज्ञात कीजिए।
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सही उत्तर: (C) Rs 52
एलिगेशन नियम से, सस्ता : महंगा = (महंगी कीमत - औसत कीमत) : (औसत कीमत - सस्ती कीमत)। दिया गया अनुपात = 5:3, सस्ती कीमत = 20 रुपये, औसत कीमत = 32 रुपये। अतः 5:3 = (D - 32) : (32 - 20), जिससे D - 32 = (5/3) x (32 - 20) = (5/3) x 12 = 20। अतः D = 32 + 20 = 52 रुपये प्रति लीटर।
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