Question discussion

A sum becomes Rs. 1392 in 2 years and Rs. 1488 in 3 years at simple interest. What is the rate (in percentage) of interest per annum?

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A sum becomes Rs. 1392 in 2 years and Rs. 1488 in 3 years at simple interest. What is the rate (in percentage) of interest per annum?
  • A8
  • B10
  • C12
  • D8.5
Answer not set
0
CCommunity
Let the rate of interest be r

Amount in 2 years = Rs. 1392

Amount in 3 years = Rs. 1488

Simple interest in one year = 1488 – 1392 = Rs. 96

Simple interest in two years = 2 × 96 = Rs. 192

Now,

Principle = Amount – Interest = 1392 – 192 = Rs. 1200

So, Simple interest = (1200 × 2 × r)/100 = 24r

According to the question,

⇒ 192 = 24r

∴ r = 8%
0
CCommunity
Let the rate of interest be r

Amount in 2 years = Rs. 1392

Amount in 3 years = Rs. 1488

Simple interest in one year = 1488 – 1392 = Rs. 96

Simple interest in two years = 2 × 96 = Rs. 192

Now,

Principle = Amount – Interest = 1392 – 192 = Rs. 1200

So, Simple interest = (1200 × 2 × r)/100 = 24r

According to the question,

⇒ 192 = 24r

∴ r = 8%