Question
'S' allocated 40% of his monthly income to SIP P, where
it accrues a simple interest of 18% p.a. The remaining 60% was directed to SIP Q, with a compound interest of 20% p.a., compounded annually. After 2 years, the total amount gained from both SIPs matches the amount yielded by investing Rs. 6000 at 19% p.a. simple interest for 4 years. Calculate 'S's total monthly income.Solution
ATQ, Let monthly income of 'S' is Rs.100a Amount invested in SIP P = 0.40 × 100a = Rs. 40a Amount invested in SIP Q = 0.60 × 100a = Rs. 60a Amount obtained when Rs. 6000 is invested at 19% p.a. simple interest for 4 years = 6000 + 6000 × 0.19 × 4 = Rs. 10560 According to question; [40a + 40a × 0.18 × 2] + (1.20)2 × 60a = 10560 Or, 54.4a + 86.4a = 10560 Or, 140.8a = 10560 Or, a = 75 Desired Income = 75 × 100 = Rs.7500
- Eight identical cubes of edge 4 cm are joined end to end. Calculate the total surface area of the solid formed.
A rectangular field has a perimeter of 82 meters, and the length of its diagonal measures 29 meters. Determine the area of the field.
A well with 30 metre inner diameter is dug 6 m deep. Earth taken out of it, has been evenly spread all around it to a width of 15 m to form an embankmen...
Three cubes of metal whose edge are 6cm, 8cm and 10cm. respectively are melted and a single cube is formed. What is the length of the edge of the newly...
A cuboidal box has a length of 15 cm, a width of 12 cm, and a height of 10 cm. A cylindrical hole of radius 3 cm and height equal to the cuboid is drill...
If perpendicular and base of a right-angle triangle are 24 cm and 32 cm respectively, then find the length of the shortest median of triangle.
A cylinder of radius 7 cm is surmounted completely by a cone of same radius. Height of cylinder is 6 cm. Find the height of cone if volume of entire sha...
A hemisphere has a total surface area of 604.8 cm². Calculate the volume of a sphere that has the same radius as the given hemisphere. (Take π = 3.15)...
- A metal sphere with radius 17.5 cm is melted and molded into small cuboids each of size 7 cm × 5 cm × 5 cm. Determine the number of cuboids formed.
Length and breadth of a rectangular field is (x + 6) cm and (x – 3) cm, respectively. If the cost of ploughing the field at a rate of Rs. 10 per cm² ...
Relevant for Exams:
