Ram had some amount in his hand. He opened 2 different accounts in the same bank and deposited half amount in first account which became 33/25 of itself in 8 years at a certain rate of simple interest and the remaining amount in second account on which simple interest at the same rate of interest accrued in 3 years is Rs. 240. Find the total amount he had.?

Question

Ram had some amount in his hand. He opened 2 different accounts in the same bank and deposited half amount in first account which became 33/25 of itself in 8 years at a certain rate of simple interest and the remaining amount in second account on which simple interest at the same rate of interest accrued in 3 years is Rs. 240. Find the total amount he had.?

Rs. 2000
Rs. 3000
Rs. 4000
Rs. 5000
Rs. 2500

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 3 : Rs. 4000

Given:

Half the amount became 33/25 of itself in 8 years

SI in 3 years on remaining amount = Rs. 240

Formula used:

S.I = PRT/100

S.I = Final amount – Principal amount

Calculation:

Let the amount he had in the starting be 2x and Rate of interest = R%

In first account,

Amount deposited = 2x/2 = x

Time = 8 years

Final amount = 33x/25

⇒ S.I = 33x/25 – x

⇒ S.I = 8x/25

Now, 8x/25 = x × R × 8/100

⇒ x/25 = xR/100

⇒ R = 4%

In second account,

Amount deposited = 2x – x = x

Time = 3 years

S.I = Rs. 240

Rate = 4%

Now,

240 = x × 4 × 3/100

⇒ 20 = x/100

⇒ x = 2000

∴ Total amount he had in the starting = 2x

⇒ 2 × 2000

⇒ Rs. 4000