CUET UG 2025 — General Test Arithmetic

₹5500 is split into two parts. The interest earned on both parts is equal, with different interest rates (12% vs 8%) and different time periods (4 years vs 5 years).

Let the first part = $x$x

Then the second part = $(5500 - x)$(5500−x)

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Simple Interest Formula: SI = $\frac{P \times R \times T}{100}$100P×R×T​

Interest on first part = $\frac{x \times 12 \times 4}{100}$100x×12×4​

$$= \frac{48x}{100}$$=10048x​

Interest on second part = $\frac{(5500-x) \times 8 \times 5}{100}$100(5500−x)×8×5​

$$= \frac{(5500-x) \times 40}{100}$$=100(5500−x)×40​

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Since both interests are equal:

$$\frac{48x}{100} = \frac{(5500-x) \times 40}{100}$$10048x​=100(5500−x)×40​

$$48x = (5500 - x) \times 40$$48x=(5500−x)×40

$$48x = 220000 - 40x$$48x=220000−40x

$$48x + 40x = 220000$$48x+40x=220000

$$88x = 220000$$88x=220000

$$x = \frac{220000}{88}$$x=88220000​

$$x = 2500$$x=2500

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First part = ₹2500

Second part = $5500 - 2500 =$5500−2500= ₹3000

Therefore, the two parts of the sum are ₹2500 and ₹3000.