Question

In a year Rakesh earns rupees 2,50,000 and saves rupees 1,00,000 find the ratio of :
If the ratio of earnings to savings remain same then what will be the expenditure at earning rupees 3,00,000 ?

Answer 1

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Answer 2

PLEASE NOTE - The complete question is : In a year, Rakesh earns rupees 2,50,000 and saves rupees 1,00,000. Find the ratio of his earnings to savings.

If the ratio of earnings to savings remains same, then what will be the expenditure on earning rupees 3,00,000 ?

The expenditure on earning Rs. 3,00,000 is Rs. 1,80,000.

• Given,

Amount of money earned by Rakesh in a year = Rs. 2,50,000

Amount of money saved by Rakesh in a year = Rs. 1,00,000

• Ratio of his earnings to savings = Amount earned by Rakesh / Amount saved by Rakesh

=> Earnings : Savings = Rs. 2,50,000 / Rs. 1,00,000

Or, Earnings : Savings = 5 / 2

Or, Earnings : Savings = 5 : 2

• Increased salary of Rakesh = Rs. 3,00,000

• The condition given is that the ratio of earnings to savings remains the same.

=> New earnings : Savings = 5 : 2

Putting new earnings as Rs. 3,00,000 in the equation, we get,

Rs. 3,00,000 : Savings = 5 : 2

Or, Rs. 3,00,000 / Savings = 5 / 2

On cross-multiplication,

Or, 2 × Rs. 3,00,000 = 5 × Savings

Or, Savings = (2 × Rs. 3,00,000) / 5

Or, Savings = 2 × Rs. 60,000

Or, Savings = Rs. 1,20,000

• Therefore, savings on earning Rs. 3,00,000 = Rs. 1,20,000

Now, expenditure = Earnings - Savings

=> Expenditure = Rs. 3,00,000 - Rs. 1,20,000

=> Expenditure = Rs. 1,80,000

Therefore, Rakesh saves Rs. 1,80,000 on earning Rs. 3,00,000.