If a certain sum becomes Rs. 1237.50 in four years with some annual ra

1.	If a certain sum becomes Rs. 1237.50 in four years with some annual rate of simple interest and it becomes Rs. 1443.75 in six years, then the principal amount is:1. Rs. 860.502. Rs. 8703. Rs. 8254. Data are insufficient
Answer» Correct Answer - Option 3 : Rs. 825 Given: Amount in 4 years = Rs 1237.50 Amount in 6 years = Rs 1443.75 Formula used: SI = (P × R × T)/100 A = P + SI Here, A, P, R, T and SI are amount, principal, rate, time and simple interest respectively Concept used: SI is equal every year Calculation: The amount in 4 years = Rs 1237.50 The amount in 6 years = Rs 1443.75 SI for 2 years = 1443.75 – 1237.50 = 825/4 Then, SI for 4 years = 825/4 × 2 = 825/2 Principal = Amount for 4 years – SI for 4 years ⇒ 1237.5 – 825/2 ⇒ 825 ∴ The principal is Rs 825

If a certain sum becomes Rs. 1237.50 in four years with some annual rate of simple interest and it becomes Rs. 1443.75 in six years, then the principal amount is:1. Rs. 860.502. Rs. 8703. Rs. 8254. Data are insufficient

Answer» Correct Answer - Option 3 : Rs. 825

Given:

Amount in 4 years = Rs 1237.50

Amount in 6 years = Rs 1443.75

Formula used:

SI = (P × R × T)/100

A = P + SI

Here, A, P, R, T and SI are amount, principal, rate, time and simple interest respectively

Concept used:

SI is equal every year

Calculation:

The amount in 4 years = Rs 1237.50

The amount in 6 years = Rs 1443.75

SI for 2 years = 1443.75 – 1237.50 = 825/4

Then, SI for 4 years = 825/4 × 2 = 825/2

Principal = Amount for 4 years – SI for 4 years

⇒ 1237.5 – 825/2

⇒ 825

∴ The principal is Rs 825

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