∴ H.C.F. of given numbers = 0.18.
Let the annual installment be Rs. P
Then, [P + (P x 4 x 8)/100] + [P + (P x 3 x 8) / 100] + [P + (P x 2 x 8)/100 ] + [ P + (P x 1 x 8)/100] + P = 580
? 33P/25 + 31P/25 + 29P/25 + 27P/25 + P = 580
? (120 + 25)P = 580 x 25
? P = 100
Let the principal = Rs. P
? Amount = Rs. 2P
? Interest = 2P - P = Rs.P
? Rate = (interest x 100) / (Principal x 20) = (P x 100) / (P x 20) = 5%
Rate = (Interest x 100) / (Principal x Time)
= (800 x 100) / (8000 x 2)
= 5%
S.I = Principal x Rate x Time / 100
? Amount - Principal = Principal x Rate x Time / 100
? 5712 - 4200 = (4200 x Rate x 4) /100
? 1512 = 42 x 4 x Rate
Rate = 1512 / (42 x 4) = 9%
On increasing 3%, new rate of interest = 9 + 3 = 12%
Simple interest on new rate = (4200 x 12 x 4) / 100 =Rs. 2016
Amount = Principal + Interest = 4200 + 2016 = Rs. 6216
Let the principle be ? P .
Then,
(P x 1 x 5)/100 + (P x 1 x 6)/100 + (P x 1 x 8)/100 = 760
? 5P/100 + 6P/100 + 8P/100 = 760
? 19P = 760 x 100
? P = (760 x 100)/19 = ? 4000
Hence, the principle is ? 4000.
SI = 26350 - 21250 = ? 5100
? Rate = (SI x 100) / (Principal x Time)
= (5100 x 100) / (21250 x 6)
= 4%
Let the sum be Rs 'y'
Since Simple Interest = Rs ( y / 2)
and, T = 6 yr , R = 10% per annum
So Simple Interest, SI = (P x R x T)/100
where, R = Rate
T = Time
SI= Simple Interest
now, According to problem, ( y / 2 ) = ( y x 10 x 6)/100
? (1/2)=(6/10)
? which is not true, so it is not a possible case.
Let the sum be Rs 'y' and , rate of interest = R%
Simple Interest for 2 yr =Rs( 625 - 575 ) = Rs 50
? Sum of money, y=Rs( 575 - 75)= Rs 500
? R= [(100 x SI)/(Sum x Time)]
=[(100x 75)/(500 x 3)]=5 %
Let principle = Rs. P
Then S.I = P/9
Let Rate = R% per annum and time = R years
Then, as we know SI = (P x R x T) / 100.
? P/9 = ( P x R x R) / 100
? R2 = 100/9
? R = 10/3 = 31/3 % per annum
Let the capital be Rs. P, then
(P/3) x (7/ 100) + (x/4) x (8/100) + [P - (P/3 + P/4)] x 10/100 = 561
? 7P/300 + P/50 + P/24 = 561
? 42P + 36P + 75P = 1009800
P = 1009800/153 = 6600
Comments
There are no comments.Copyright ©CuriousTab. All rights reserved.