ICSE Mathematics - 1998 sample paper
Q1. A man invests Rs. 46,875 at 4% Per annum compound interest for 3 years. Calculate : (i) The interest for the 1st year (ii) The amount standing to his credit at the end of the 2nd years. (iii) The interest for the 3rd year. |
Ans . (i) P= Rs. 46,875 R=4% per annum T= 1 year A= 46,875 [ 1+^{ } 4/100 ]^{1} C.I =48,750-46,875 =Rs. 1,875 (ii) A=P [ 1+^{ }R/100 ]^{N} (iii) A=P[ 1+ R/100]^{N} C.I = 52,500- 46,875 = 5625 => Interest till |
Q2. A shopkeeper allowed a discount of 20% on the marked price of an article, and sold it for Rs. 896. Calculate: (i) His marked price ; (ii)By selling the article at the (iii) What would have been his profit %, |
Ans . Discount = 20% Let M.P. = x S.P.= Rs. 896 Discount = 20% of x (i) M.P. = S.P.+ Discount (iii) When S.P.= M.P. & C.P.=Rs. 800 Gain % = [(S.P. x 100)/C.P.] - 100 |
Q3. On a map drawn to a scale of 1 : 25000, a rectangular plot of land, ABCD, has the following measurements, AB = 12cm & BC= 16cm . Angles A,B,C & D are all 90^{o} each. Calculate: (i) The diagonal distance of the plot in km. (ii) The area of the plot in sq. km . |
Ans. Scale 1: 25000 AB= 12cm, BC= 16cm After conversion AB= 3km , BC= 4km AC= Ö (AB^{2} = Area= 3 x 4= 12 km^{2} |