Let monthly salary of Pia = Rs.500x => Monthly salary of Som = Rs.400x Amount given by Pia to her mother = 3/5 * 500x = 300x Amount for her sister tuition fees = 15*500x/100 = 75x Amount for loan = 18*500x/100 = 90x => Amount left = 500x −(300x +75x +90x) = 2100 => 500x - 465x = 35x = 2100 => x = 2100/35 = 60 Therefore, Som's salary = 400 x 60 = Rs. 24,000

Let the breadth of rectangle be x cm => Length of rectangle = (x+3) cm Now, perimeter =2(x+x+3) = 50 => 2x + 3 = 25 => x = 11 Thus, breadth = 11 cm and length = 14 cm Area of circle = Area of rectangle =>pi * r* r = 14 * 11 =>r*r = 14 * 11 * 7/22 =>r = 7 cm Diameter = 2 * 7 = 14 cm

Simple Interest = S.I= pnr/100 Given, S.I = 23940 , p = 28500 , n = 7 thus, r = 100x23940/28500x7 = 12

It is given that the initial amount invested in scheme A is Rs P at 10%per Annum S.I. =PTR/100 = P x 10 x 2/100 Now the total amount after 2 years is = 1.2P New Rate of interest = 12% per annum Time = 5 years S.I for next 5 years when new principal amount is 1.2 P = 1.2Px12x5/100 = 0.72P Total amount after 5 years at 12% per annun = 1.72P Given that 1.72P - 1.2P = 1300 P = 1300/0.52 P = Rs. 2500

2 pipes open for 2 hours will fill = (2/3) x (2/3) x 3 = 4/3 buckets