Quantitative Aptitude - Arithmetic Ability Questions

Originally let there be x men.

Less men, More days     (Indirect Proportion)

 Therefore, (x-10) : x  :: 100 :110

=> (x - 10) * 110 = x * 100    => x= 110

1 x 1 + 1 x 1 = (1 + 1) = 2

2 x 2 + 2 x 2 = (4 + 4) = 8

8 x 3 + 3 x 3 = (24 + 9) = 33

33 x 4 + 4 x 4 = (132 + 16) = 148

148 x 5 + 5 x 5 = (740 + 25) = 765.

Clearly 4864 is divisible by 4
So, 9 P 2 must be divisible by 3. So (9+P+2) must be divisible by 3.
So P=1.

Let the C.P of spirit be = Rs.10 per litre

Then S.P l litre of the mixture = Rs. 11

Profit = 20%

Therefore, C.P of the mixture = Rs. 100120×10 = Rs. 25/3 per litre

 Therefore, Ratio of water and spirit = 1 : 5

Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.

R=100*60100*6 =10% p.a

Now, P = Rs. 12000. T = 3 years and R = 10% p.a.

C.I=Rs.12000*1+101003-1
       =Rs.3972

Let the numbers be x and y.

Then, xy = 9375 and  x/y = 15.

xyxy=9375/15

=>$$\begin{gathered} y2 =625 \\ \end{gathered}$$

=> y = 25

=> x = 15y = 15 x 25 = 375.

Sum of the numbers = 375 + 25 = 400.

For 1st year S.I =C.I.

Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is thus Rs.200

i.e S.I on the principal for 1 year is Rs.200

Principle = Rs.100*2008*1 = Rs.2500

Amount for 2 years, compounded half-yearly

 Rs.2500*1+41004=Rs.2924.4

C.I = Rs.424.64

Also, S.I=Rs.2500*8*2100=Rs.400

Hence, [(C.I) - (S.I)] = Rs. (424.64 - 400) = Rs.24.64

(150 x 460)/100 + (24 x 650)/100

= 690+156

= 846