A certain sum becomes ₹ 2,356 in 3 years and ₹ 2,660 in 5 years on simple interest. The value of sum is: Option 1: ₹ 1,800 Option 2: ₹ 1,880 Option 3: ₹ 1,900 Option 4: ₹ 1,980

Answer: ₹ 1,900. Solution: The correct option is: ₹ 1,900 --- Concise Solution: 1. Find Simple Interest (SI) for 2 years: SI for 2 years = Amount in 5 years - Amount in 3 years SI for 2 years = 2,660 - 2,356 = ₹\ 304 2. Find SI for 1 year: SI for 1 year = 304/2 = ₹\ 152 3. Find SI for 3 years: SI for 3 years = 152 x 3 = ₹\ 456 4. Calculate the Principal (Sum): Principal = Amount in 3 years - SI for 3 years Principal = 2,356 - 456 = ₹\ 1,900

Arithmetic

Simple & Compound Interest

Medium

A certain sum becomes ₹ 2,356 in 3 years and ₹ 2,660 in 5 years on simple interest. The value of sum is:

₹ 1,800

₹ 1,880

₹ 1,900

₹ 1,980

✅ Correct Option: 3

The correct option is:

₹ 1,900

Concise Solution:

Find Simple Interest (SI) for 2 years:

$\text{SI for 2 years} = \text{Amount in 5 years} - \text{Amount in 3 years}$

$\text{SI for 2 years} = 2,660 - 2,356 = ₹\ 304$

Find SI for 1 year:

$\text{SI for 1 year} = \frac{304}{2} = ₹\ 152$

Find SI for 3 years:

$\text{SI for 3 years} = 152 \times 3 = ₹\ 456$

Calculate the Principal (Sum):

$\text{Principal} = \text{Amount in 3 years} - \text{SI for 3 years}$

$\text{Principal} = 2,356 - 456 = \mathbf{₹\ 1,900}$

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Solution

Concise Solution:

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