Ratio and Proportion practice question for Railways, SSC. Review the correct answer and explanation, then continue with related practice below.
A 40-liter mixture contains juice and water in the ratio 5:3. How much water, in liters, must be added to this mixture to change the ratio of juice to water to 2:3?
Correct Answerसही उत्तर
B. 22.5 litersB. 22.5 लीटर
Explanationव्याख्या
Since only water is added, the quantity of juice remains constant.
Initial ratio: Juice : Water = 5 : 3 Multiply by 2: = 10 : 6 Final ratio: Juice : Water = 2 : 3 Multiply by 5: = 10 : 15 Thus, the juice quantity remains 10 units while water increases from 6 units to 15 units.
Initial total: 10 + 6 = 16 units = 40 liters Therefore: 1 unit = 40 ÷ 16 = 2.5 liters Water added: = 15 − 6 = 9 units = 9 × 2.5 = 22.5 liters Hence, the correct answer is 22.5 liters.
चूँकि केवल पानी मिलाया जा रहा है, इसलिए जूस की मात्रा स्थिर रहेगी।
अतः जूस की मात्रा 10 इकाई स्थिर रहती है, जबकि पानी 6 इकाई से बढ़कर 15 इकाई हो जाता है।
अतः सही उत्तर 22.5 लीटर है।
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