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If savings of Priyam rises by 25% in first year, reduced by 18% in second year, fall by 25% in third year while his savings rises by 50% in fourth year. If actual savings of Priyam in fourth year were equal to Rs. 30,000, find the savings of Priyam in first year. 


1. Rs. 27,010.25
2. Rs. 28,016.29
3. Rs. 26,016.26
4. Rs. 26,015.4

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Correct Answer - Option 3 : Rs. 26,016.26

Given:

Savings of Priyam rises by 25% in first year, reduced by 18% in second year, fall by 25% in third year while his savings rises by 50% in fourth year.

Actual savings of Priyam in fourth year were equal to Rs. 30,000.

Concepts used:

New savings in 4th year = Current savings × (1 + % rise in 1st year) × (1 - % fall in 2nd year) × (1 - % fall in 3rd year) × (1 + % rise in 4th year)

Calculation:

Let savings of Priyam in 1st year be x.

Savings of Priyam in fourth year = Rs. 30,000

Savings of Priyam rises by 25% in first year, reduced by 18% in second year, fall by 25% in third year while his savings rises by 50% in fourth year.

⇒ New savings in 4th year = Current savings × (1 + % rise in 1st year) × (1 - % fall in 2nd year) × (1 - % fall in 3rd year) × (1 + % rise in 4th year)

⇒ Rs. 30,000 = x  × (1 + 0.25) × (1 – 0.18) × (1 - 0.25) × (1 + 0.50)

⇒ x = Rs. 26,016.26

Savings of Priyam in first eyar were equal to Rs. 26,016.26.

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