CTET Maths - Algebra
- 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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