Q131 of 140 Page 196

Divide Rs 10000 in two parts so that the simple interest on the first part for 4 years at 12 per cent per annum may be equal to the simple interest on the second part for 4.5 years at 16 per cent per annum.

Given, money = 10000


Money should be divided into two parts, SI on first part for 4yr at 12% and SI on second part for 4.5yr at 16%


Let first part = 7X


Secon part = (10000-x)


⇒ SI1 = =


⇒ SI2 = =


⇒ =


⇒ = (10000 –x)


⇒ = (10000 –x)


⇒ x = 10000-x


⇒ = 10000


⇒ x = 6000


⇒ First part = 6000


⇒ Second part = 10000-x = 10000-6000 = 4000


More from this chapter

All 140 →
129

Match each of the entries in Column I with the appropriate entries in Column II:

Column I


i. 3:5


ii. 2.5


iii. 100%


iv.


v.


vi. 12.5%


vii. SP when CP = Rs 50 and loss = 6%


viii. SP when CP = Rs 50 and profit = Rs 4


ix. Profit % when CP = Rs 40 and SP = Rs 50


x. Profit when CP = Rs 50 and SP = Rs 60


xi. Interest when principal = Rs 800,


Rate of interest = 10% per annum and period = 2 years


xii. Amount when principal = Rs 150, Rate of interest = 6% per annum and period = 1 year


Column II


A. Rs 54


B. Rs 47


C. Rs 53


D. Rs 160


E. 60%


F. 25%


G.


H. 250%


I. Rs 159


J.


K. 20%


L. 0.125


M. 3 : 2


N. Rs 164


O. 3 : 3

130

In a debate competition, the judges decide that 20 per cent of the total marks would be given for accent and presentation. 60 per cent of the rest are reserved for the subject matter and the rest are for rebuttal. If this means 8 marks for rebuttal, then find the total marks.

 132

Rs 9000 becomes Rs 18000 at simple interest in 8 years. Find the rate per cent per annum.

 133

In how many years will the simple interest on a certain sum be 4.05 times the principal at 13.5 per cent per annum?