A sum of money becomes ₹ 20070 after 3 year and ₹ 30105 after 6 years on compound interest. The sum will be Option 1: 13380 Option 2: 8920 Option 3: 5292 Option 4: 25560

Answer: 13380. Solution: Given: - A sum becomes ₹20,070 after 3 years - The same sum becomes ₹30,105 after 6 years - Compound interest is applied The time difference between the two amounts is exactly 3 years. The amount at year 6 is the amount at year 3 grown for another 3 years. Growth factor for 3 years = (Amount at 6 years)/(Amount at 3 years) Growth factor = (30,105)/(20,070) Growth factor = 1.5 The money grew 1.5 times in 3 years. The principal also grows by a factor of 1.5 in 3 years to reach ₹20,070. Principal x 1.5 = 20,070 Principal = (20,070)/1.5 Principal = 13,380 Therefore, the original sum is ₹13,380.

Arithmetic

Simple & Compound Interest

Medium

A sum of money becomes ₹ 20070 after 3 year and ₹ 30105 after 6 years on compound interest. The sum will be

13380

8920

5292

25560

✅ Correct Option: 1

Given:

A sum becomes ₹20,070 after 3 years
The same sum becomes ₹30,105 after 6 years
Compound interest is applied

The time difference between the two amounts is exactly 3 years.

The amount at year 6 is the amount at year 3 grown for another 3 years.

Growth factor for 3 years $= \dfrac{\text{Amount at 6 years}}{\text{Amount at 3 years}}$

Growth factor $= \dfrac{30,105}{20,070}$

Growth factor $= 1.5$

The money grew 1.5 times in 3 years.

The principal also grows by a factor of 1.5 in 3 years to reach ₹20,070.

Principal $\times 1.5 = 20,070$

Principal $= \dfrac{20,070}{1.5}$

Principal $= 13,380$

Therefore, the original sum is ₹13,380.

2026: 24 May Shift 1

At what rate of compound interest per annum, a sum of Rs 1800 becomes Rs 2178 in two years?

2025: 21 May Shift 1

In what time will the simple interest on ₹2200 at 6% per annum be the same as that on ₹1650 at 9% per annum in 10 years?

2026: 19 May Shift 1

A sum of money at simple interest amounts to Rs. 810 in 3 years and to Rs. 850 in 4 years. The sum is

2026: 29 May Shift 1

A sum is invested at 10 % per annum with simple interest. What will be the time taken to increase its value by 25% ?

2026: 22 May Shift 2

Consider the following statements:

If a sum of money is lent at simple interest, then

(A) money gets doubled in 5 years if the rate of interest is $16\frac{2}{3}\%$ .

(B) money gets doubled in 5 years if the rate of interest is 20%.

of these statements,

Choose the correct answer from the options given below:

2025: 16 May Shift 1

The simple interest on a certain sum of money at 5% per annum for 4 years and 3 years differs by Rs. 42. What is the sum?

A sum of money becomes ₹ 20070 after 3 year and ₹ 30105 after 6 years on compound interest. The sum will be

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)