19 a part of rs 60000 was invested at 12% p a for 5 years and the rest - Maths - Life Mathematics

Question

19 a part of rs 60000 was invested at 12% p a for 5 years and the
rest was invested at 10% p a for 4 years if the total interest
earned was rs 27000, find the sum of money invested at each rate?

Manbar Singh · Accepted Answer

Dear Student,

Let the sum of money invested at 12% p
a, P1 = Rs xThen, the sum of money invested at 10% p
a, P2 = Rs 60000-xNow, P1 = Rs xR1 =12% p
a
T1 = 5 yrs     I1 = P1R1T1100⇒I1 = x×12×5100 = Rs 3x5Now, P2 = Rs 60000-xR2 = 10% p
a
T2 = 4 yrsI2 = P2R2T2100 = 60000-x×10×4100 = Rs120000-2x5Now, I1 + I2 = 27000⇒3x5 + 120000-2x5 = 27000⇒3x + 120000 - 2x5 = 27000⇒x + 120000 = 135000⇒x = 15000So, P1 = Rs 15000P2 = 60000 - 15000 = Rs 45000

Regards

19. a part of rs 60000 was invested at 12% p.a. for 5 years and the rest was invested at 10% p.a. for 4 years. if the total interest earned was rs 27000, find the sum of money invested at each rate?