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Question

Mathematics Question on Profit and Loss

Due to global recession starting in January, Ram’s monthly salary of Rs. 8000 was cut by 10%. The monthly expenses, which were Rs. 6000, increased at the rate of 5% per month. Since which month will he have no savings if the recession lasted for a year ?

A

April

B

March

C

May

D

June

Answer

May

Explanation

Solution

In the month Jan:
Rams's monthly salary in Jan = 0.9 × 8000 = 7200
Expenses = 6000
In the month Feb:
Expenses = 6000 × 105100\frac{105}{100} = 6300
In the month March:
Expenses = 6300 × 105100\frac{105}{100} = 6615
In the month April:
Expenses = 6615 × 105100\frac{105}{100} = 6945.75
In the month May:
Expenses = 6945.75 × 105100\frac{105}{100} > 7200
So, In the month of May he will not have any savings left if the recession lasted for a year.
The correct option is (C)