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CUET General Test 2025 PYQs3 June Shift 2. Free, no login required.

Arithmetic

past year questions, CUET General Test 2025 3 June Shift 2

Simple & Compound Interest

past year questions, Arithmetic, CUET General Test 2025 3 June Shift 2

Medium

Consider the compound interest of the following

(A) The compound interest on Rs 30500 at 15% per annum for 2 years, (compounded annually) is: Rs. 9836.25

(B) The compound interest of Rs 5000 at 20% per annum for one year is compounded (half-yearly) is: Rs. 6050.

Which of the following statements is / are correct?

Solution

✅ Correct Option: 1

For Statement (A):

Principal = Rs 30,500

Rate = 15% per annum

Time = 2 years (compounded annually)

The formula for compound amount is:

Amount =P×(1+r100)t= P \times (1 + \frac{r}{100})^t

Amount =30,500×(1+15100)2= 30,500 \times (1 + \frac{15}{100})^2

Amount =30,500×(1.15)2= 30,500 \times (1.15)^2

Amount =30,500×1.3225= 30,500 \times 1.3225

Amount =40,336.25= 40,336.25

Compound Interest == Amount −- Principal

Compound Interest =40,336.25−30,500= 40,336.25 - 30,500

Compound Interest =9,836.25= 9,836.25

Statement (A) is correct.

For Statement (B):

Principal = Rs 5,000

Rate = 20% per annum

Time = 1 year (compounded half-yearly)

When compounded half-yearly:

Rate per half year =202=10%= \frac{20}{2} = 10\%

Number of periods =1×2=2= 1 \times 2 = 2

Amount =5,000×(1+10100)2= 5,000 \times (1 + \frac{10}{100})^2

Amount =5,000×(1.1)2= 5,000 \times (1.1)^2

Amount =5,000×1.21= 5,000 \times 1.21

Amount =6,050= 6,050

Compound Interest == Amount −- Principal

Compound Interest =6,050−5,000= 6,050 - 5,000

Compound Interest =1,050= 1,050

Statement (B) claims the compound interest is Rs 6,050, but this is the amount, not the compound interest.

Statement (B) is incorrect.

Only Statement (A) is correct.

Related questions:

2025: 28 May Shift 2

A certain amount, when put at a compound rate of interest, becomes double in 5 years. In how many years will the amount become eight times?

2025: 13 May Shift 1

Arrange the simple interest of the following cases in decreasing order-

(A) The simple interest on Rs 6600 at 5% per annum for 2 yrs.

(B) The simple interest on Rs 200 at 6% per annum for 5 yrs.

(C) The simple interest on Rs 840 at 5% per annum for 4 yrs.

(D) The simple interest on Rs 5000 at 12% per annum for 2 yrs.

Choose the correct answer from the options given below:

2025: 23 May Shift 1

The simple interest on a sum of Rs 1550 for 2 yrs is Rs 20 more than the simple interest on Rs 1450 for the same duration (the rate of interest is the same in both the cases). Find the rate of interest.

2022: 23 Aug Shift 1

If principal = P, Rate R = R% per annum, T = Time year, SI = Simple interest, then

a. T=100×SIP×RT = \frac{100 \times SI}{P \times R}

b. SI=P×R×T100SI = \frac{P \times R \times T}{100}

c. R=P×SI×T100R = \frac{P \times SI \times T}{100}

d. T=P×SI×T100T = \frac{P \times SI \times T}{100}

e. R=100×SIP×TR = \frac{100 \times SI}{P \times T}

2025: 20 May Shift 1

Consider the compound interest of the following

(A) The compound interest on Rs 16000 at 20% per annum for 9 months, compounded quarterly is: Rs 2522

(B) The compound interest on Rs 2800 at 10% per annum for 18 months, compounded annually is: Rs 434

Choose the correct statement(s):

2025: 2 June Shift 2

A sum of ₹ 5500 is lent out in two parts in such a way that the interest on one part at 12% for 4 years is equal to that on another part at 8% for 5 years. What will be the two parts of the sum?

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