Question

Each question given below contains a statement followed by quantity I and quantity II. Find both to find the relationship among them. Mark your answer according

Quantity I: The price of rice is decreased by 30%, by how much % the consumption is increase so that the expenditure will decreased by 10%?

Quantity II: A man spends Rs. 45,600 out of his income 68,400. If his income and expenditure are increased by 19% and 13%. Find the percentage change in his savings.

A Quantity I > Quantity II Correct Answer Incorrect Answer
B Quantity I ≥ Quantity II Correct Answer Incorrect Answer
C Quantity I < Quantity II Correct Answer Incorrect Answer
D Quantity I ≤ Quantity II Correct Answer Incorrect Answer
E Quantity I = Quantity II or No relation can be established Correct Answer Incorrect Answer

Solution

Quantity I: Total Expense = Price per unit `xx` Consumption So let Price per unit & consumption both are 100 So toal expense = 100`xx` 100 = Rs. 10000 New total expense = 10000`xx` 0.90 = Rs. 9000 & New price per unit = Rs. 100`xx` 0.7 = 70 So New Total Expense = New Price per unit`xx` New Consumption 9000 = 70`xx` new consumption So new consumption = 9000/70 = 900/7 Hence ratio of old & new consumption = 100 : 900/7 = 700 : 900 = 7 : 9 Hence increase in comsumption = (9-7) /7`xx` 100 = 28.56%

Quantity II:
Expense / Income = 45600/68400 = 2/3
Hence Let orginal income = 300 & original expense = 200 So saving = 300 - 200 = 100
Now new income = 300`xx` 119% = 357 , New expense = 200`xx` 113% = 226, So new saving = 357 -226 = 131
Hence change in saving % = (131-100)/100`xx` 100 = 31%

So Quantity I < Quantity II

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