If the total simple interest on a sum of ₹1,400 for 4 years at rate of interest x% p.a. and on the same sum for two years at the same rate, is ₹672, then the value of x is :

9% 8% 6% 10%

8%

We know , Simple Interest = \(\frac{Principal ×Rate × Time }{100}\) ATQ, \(\frac{1400×Rate × 4 }{100}\) + \(\frac{1400×Rate × 2 }{100}\) = 672 56 × Rate + 28 × Rate = 672 84×Rate = 672 Rate = \(\frac{672}{84}\) = 8%