Question

The difference in SI and CI on a certain sum of money in 2 years at a rate of 15% p.a. is ₹144. The sum is​

Answer 1

Answer:

When the difference between C.I and S.I given then Sum=difference(

r

100

​

)

2

.

Given difference is Rs.144.

Rate of interest is 15%

Sum

​

 

=144×(

15

100

​

)

2

=144×

225

10000

​

=6400

​

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Principle = p = ?

Time = 2 yrs

Rate of Interest = 15%

Difference [SI - CI] = 144

--------------------------------------------

⇒ p × $i$ × t - $p[(1+i)^n-1]$ = 144

⇒ p × ¹⁵/₁₀₀ × 2 - $p[(1+0.15)^2-1]$ = 144

⇒ p × ³⁰/₁₀₀ - $p[(1.15)^2-1]$ = 144

⇒ p × ³⁰/₁₀₀ - 0.3225p = 144

⇒ 30p/100 - 0.3225p = 144

⇒ 32.25p - 30p = 144 × 100

⇒ 2.25p = 14,400

⇒ p = 14,400 ÷ 2.25 = 6,400

Hence the Principle = 6,400