1.

Priya earned Rs 15,000 in the first month. Thereafter her salary increases by Rs 1500 per year. Her expenses are Rs 13,000 during the first year and the expenses increases by Rs 900 per year. How long will it take her to save Rs 20,000 per month.

Answer»

Tabulate the given table

Duration of the yearMonthly salaryMonthly expensesMonthly saving
I year15000130002000
II year16500139002600
III year18000148003200

Monthly savings form an A.P. 

2000, 2600, 3200 … 

a = 2000; d = 2600 – 2000 = 600

Given tn = 20,000 

tn = a + (n – 1) d 

20000 = 2000 + (n – 1) 600 

20000 = 2000 + 600n – 600 

= 1400 + 600n 

20000 – 1400 = 600n 

18600 = 600n

n = 18600/600 = 31 

He will take 31 years to save Rs 20,000 per month.



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