Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Simple Interest

Question:

In 4 years, Rs 6000 amounts to Rs 8000. In what time at the same rate, will Rs 525 amount to Rs 700?

Options:

2 years

6 years 2 months

8 years

4 years

Correct Answer:

4 years

Explanation:

Simple interest in 4 years = 8000 - 6000 = 2000

Simple interest in 1 year = 500

Rate of interest = \(\frac{500 }{6000}\) x 100 = 8 \(\frac{1 }{ 3}\) %

Therefore,

Simple interest = \(\frac{\text{P x R x T} }{100 }\)

700 - 525 = \(\frac{\text{525 x 8.33 x T} }{100 }\)

175 = \(\frac{\text{525 x 8.33 x T} }{100 }\)

T =  \(\frac{\text{17500 x 3} }{525\,×\,25 }\)

T =  \(\frac{\text{52500} }{13125 }\)

T = 4 years