Question

In 4 years,₹6500 amounts to₹8840 at a rate of interest. in what time will₹1600 amounts to₹1816 at the same rate?

Answer 1

Time taken is 1.5 years

Answer 2

Time = 4 years (given)
Principle = Rs 6500
Amount = Rs 8840
Interest = 8840 - 6500
=> Rs 2340
$simple \: interest \: = \frac{p \times r \times t }{100}$
2340 = (6500 × r × 4)/100
2340 = 26000r/100
2340 = 260r
r = 2340/260
r = 234/26
= 117/13
=> 9
______________________________________
P = 1600
A = 1816
SI = 216
SI = (prt)/100
216 = 1600×9×t ÷ 100
216 = 144t
t = 216/144 years
t = 1.5 years



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