₹4,300 becomes ₹4,644 in 2 years at simple interest. Find the principle amount that will become ₹10,104 in 5 years at the same rate of interest.

₹8,420

Principal (P) = Rs 4300 , Amount ( A) = Rs 4644  and Time ( T) = 2 year

Interest ( I) = 4644 - 4300 = Rs 344

∴  Interest = \(\frac{Principal ×Rate × Time }{100}\)

⇒ 344 =   \(\frac{ 4300  × R ×  2 }{100}\)

⇒ Rate % = 4 %

Again

A = 10104 , R= 4% , T= 5 years

as we know

A=  P + \(\frac{Principal ×Rate × Time }{100}\)

⇒ 10104 =  P + \(\frac{P  ×4 × 5 }{100}\)

⇒ \(\frac{6 P}{5}\) = 10104

⇒ P =  Rs 8420