Question
A shopkeeper wanted to sell Rs.2,000 worth of products.
But he had two options, giving three successive discounts of 10% each or giving a single discount of 28%. What was the difference between the two options of discounts (in rupees)?Solution
First discount (10%)- Price after first discount = 2000-0.10 × 2000 = 2000-200 = 1800  Second discount (10%)- Price after second discount = 1800-0.10 × 1800 =1800-180= 1620 Third discount (10%)- Price after third discount =1620-0.10 × 1620 =1620-162 = 1458 Now Single discount of 28% 28% discount: Discounted Price = 2000- 0.28 × 2000 = 2000-560=1440 Difference Between Two Options- =1458-1440 = 18 The difference between the two discount options is Rs. 18. Alternate method– First option = 10%     10%    10% second option =28% in 1st option – Successive discount =10+10-1=19 Again =19+10-1.9 =29-1.9=27.15 2nd option – 28% Difference between discount in these options =28-27.1 =0.90% Now in rupees =2000×0.90/100 =18.
Angle bisectors of Q and R meet at point S, inside the triangle PQR. If angle QSR = 118Ëš , then the measure of angle P is:
The length of a rectangle is 4 cm more than the radius of a circle. The perimeter of the rectangle is 96 cm, and the ratio of its length to breadth is 8...
A rectangular playground is fenced at Rs. 11/metre and the total cost is Rs. 1210. If the length to breadth ratio is 6:5, find the area of the playground.
The volume of the cylinder is 12320 cm3 is less than the volume of the sphere. The radius of the sphere is 2.625 times the height of the cyli...
The cost of fencing a rectangular field at the rate of Rs. 5 per meter is Rs.350. If the length of the field is 15 meters more than its breadth, then fi...
Steel is used to make a hemispherical bowl that is 0.4 cm thick. The bowl's inner radius is 7 cm. Find the bowl's outside curved surface.
There is a rectangular paper, whose length and breadth are in the ratio 5:4, respectively and it has a perimeter of 90 metres. If a triangular piece wit...
Some balls are to be distributed among some boys. If 5 more balls are available, each boy gets 8 balls. If 6 less balls are available, each boy gets 4 b...
A right pyramid has an equilateral triangle as its base, with each side measuring 7 cm. The height of the pyramid is given as 32√3 cm. Find the volume...
Find the time taken by a pipe, which releases 94.5 m3 of water in a minute to fill an empty cylindrical tank of radius 12 m and height 14 m. ...