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SSC Selection Post 2022 PYQ — Question 57

SSC Selection Post - Higher Secondary Level 2022 - 2 Aug 2022 - Shift 2 • Quantitative Aptitude • Q57

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Suppose every three adults consume 2 litres of milk, 0.5 kg sugar every day and the daily consumption of every five children is double the milk and half of the sugar than what the three adults consume. A family has 5 adults and 8 children. Their expenditure on milk and sugar, for a month of 30 days, if half-litre milk packets costs Rs.25 and one kg sugar packet costs Rs.80, is __________.

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Correct answer: D

Explanation

The correct answer is option 4 i.e. Rs.17,560.

3 Adults = 2 litres of milk + 0.5 kg sugar

⇒ 5 adults = 103\frac{10}{3} litres of milk + 56\frac{5}{6} kg of sugar

Also, 5 children = 4 litres of milk + 14\frac{1}{4} kg of sugar

⇒ 8 children = 325\frac{32}{5} litres of milk + 25\frac{2}{5} kg of sugar

Total consumption of milk by 5 adults and 8 children in 1 day = 103\frac{10}{3} + 325\frac{32}{5} = 14615\frac{146}{15}

In 30 days = 14615\frac{146}{15} × 30 = 292 litres

Total consumption of sugar by 5 adults and 8 children in 1 day = 56\frac{5}{6} + 25\frac{2}{5} = 3730\frac{37}{30}

In 30 days = 3730\frac{37}{30} × 30 = 37 kg

Cost of 1 litre milk = Rs. 50

Total cost incured = 292 × 50 + 37 × 80

⇒ 14600 + 2960 = 17560