- Option : B
- Explanation : Let the income of A and B are 3x and 2x and corresponding expenditure be 5y Rs and 3y Rs. 3x -5y = 2500 ... (i) and 2x - 3y = 2500 ... (ii) On solving Eqs. (i) and (ii), we get x = 5000 Rs and y = 2500 Rs. Expenditure Of B = 3y =3 x 2500 = 7500 Rs

27. Find the SI on 16000 Rs for 3 yr 3

months at per annum.

- Option : C
- Explanation : Given, P = 16000 Rs, T = 3 yr

3 months = =13/4 yr R= = 9/2 %. Simple interest = PRT/100 = (16000 x 9 x 13)/(100 x 2 x 4) = 2340Rs

- Option : B
- Explanation : (B) Let the number be x.

⇒ x = 899q + 63 where q is the quotient.

⇒ x = 899q + 58 + 5

= 29(31q + 2) + 5

Hence, when x is divided by 29, the remainder is 5.

30. In how many years will a sum of money becomes double at 5% per annum SI?

- Option : B
- Explanation : Here, A = 2P ∴ SI=A-P=2P-P=P. R =5%, T=? Now, SI= (P x R x T)/100. p=(Px5xT)/100. T = 20yr

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