CUET UG 2024 — General Test Arithmetic

The correct option is:
₹ 1,900

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Concise Solution:

1. Find Simple Interest (SI) for 2 years:

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

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

1. Find SI for 1 year:

$$\text{SI for 1 year} = \frac{304}{2} = ₹\ 152$$SI for 1 year=2304​=₹ 152

1. Find SI for 3 years:

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

1. Calculate the Principal (Sum):

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

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