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Doctors Medicines MCQs Q&A

In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option. Statement I . The price of sugar gets increased by 40% and as a result Ram gets 10 kg less sugar. What was the previous consumption? Statement II. The price of rice increased by 50% and thereby 20% increase in the Ram’s expenditure by consuming 12 kg less rice than previous consumption. What was the previous consumption?

In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option. Statement I . The price of sugar gets increased by 40% and as a result Ram gets 10 kg less sugar. What was the previous consumption? Statement II. The price of rice increased by 50% and thereby 20% increase in the Ram’s expenditure by consuming 12 kg less rice than previous consumption. What was the previous consumption? Correct Answer <div> <p>Quantity I &lt; Quantity II</p> </div>

Quantity I.

Let the price of sugar be Rs. 100 per Kg

Let the amount of sugar consumed previously be x kg

Total expenditure on sugar previously = 100 × x = Rs. 100x

Price increases by 40%

New price = Rs 140% of 100 = Rs 140

Consumption of sugar decreases by 10 Kg

New consumption = (x – 10) Kg

Total expenditure = 140 × (x – 10) = Rs. (140x – 1400)

Expenditure remains same

⇒ 140x – 1400 = 100x

⇒ 140x – 100x = 1400

⇒ 40x = 1400

⇒ x = 35

Previous consumption = 35 Kg

Quantity II.

Let the price of sugar be Rs 100 per Kg

Let the amount of sugar consumed previously be x Kg

Total expenditure = 100 × x = Rs. 100x kg

Price increases by 50%

New price = 150% of 100 = Rs. 150

Consumption decreases by 12 Kg

New consumption = (x – 12) Kg

Total expenditure on sugar = 150 × (x – 12) = Rs. (150x – 1800)

Expenditure increases by 20%

New expenditure on sugar = 120% of 100x = Rs. 120x

120x = 150x – 1800

⇒ 150x – 120x = 1800

⇒ 30x = 1800

⇒ x = 60

Previous consumption = 60 Kg

∴ Quantity II > Quantity I

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