₹5,000 is divided into two parts such that if one part is invested at 4% and the other at 5%, then the whole annual interest from both the sums is ₹223. How much was invested at 4% ?
Answer & explanation
Correct answer: option 2
Total principal (P) =5000
Let P1 = X i.e. invested at 4% and
P2 = 5000 - X i.e. invested at 5%
Interest = I and Time = T
ATQ
⇒ I1 + I2= 223
⇒ \(\frac{P_1\;×\;R_1\;×\;T_1}{100}\) + \(\frac{P_2\;×\;R_2\;×\;T_2}{100}\) = 223
⇒ \(\frac{X\;×\;4\;×\;1}{100}\) + \(\frac{(5000-X)\;×\;5\;×\;1}{100}\) = 223
⇒ \(\frac{4X}{100}\) + \(\frac{25000}{100}\) - \(\frac{5X}{100}\) = 223
⇒ \(\frac{X}{100}\) = 250 - 223
⇒ \(\frac{X}{100}\) = 27
⇒ X = 2700