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Neelam spent Rs. 4000 on diwali shopping, Rs. 3200 on buying accessories and the remaining 25% of the total amount she had as cash with her. What was the total amount?
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Let’s say total amount of Neelam is Rs. x So, 4000 + 3200 + x/y = x Hence, x=9600
The difference between the CI and SI for a given sum of money for 2 years is 192. If the rate of interest is 8% per annum both the cases, then find the principal?
For two year period the difference between the CI and SI would be due to the interest earned on interest of first year. This is because both CI and SI are same if the time duration is 1 year. Hence, If the interest for the first year was x, then 192 = x*8*1/100 => 19200/8 = x => x = 2400 So the interest for the first year was 2400 Hence the principal would be P = 2400*100/8 = 30000.
Alternately, Let P be the principal, then SI = P*8*2/100 = .16P If the interest was compounded then the amount after 2 years will be A = P( 1 + 8/100)2 = 1.1664P Hence CI = 1.1664P - P = .1664P We have been given that C I - SI = 192 => .1664P - .16P = 192 => .0064P = 192 => P = 30000.
Shyam drives from his office to home at 48 km/hr and from his home to office at 32 km/hr. What is his average speed?
Let the distance from his home to office be x kms So, total distance = 2x. Total time = x/48 + x/32
A and B can complete a piece of work in 20 days and 30 days respectively. If they both together worked for 6 days, find the portion of work left.
Let the total volume of work = V Efficiency of A = V/20 Efficiency of B = V/30 Work competed in 6 days = (V/20 + V/30)*6 = (V/12)*6 = V/2 Portion of work left = 1/2
Pawan and Neeraj start a business in which Pawan invests 80,000 and Neeraj invests 50,000. After 6 months, Pawan withdraws 60,000 from his investment. At the end of the year, the business earns a profit of 3800. What would be Neeraj’s share in the profits?
Pawan’s investment in rupee-month = 80000*6 + 20000*6 = 600000 Neeraj’s investment in rupee-month = 50000*12 = 600000 Hence the ratio of their investments = 60:60 = 1:1 So the ratio in which they will share the profits would also be 1:1 Hence Neeraj’s share in profit = 3800/2 = 1900
Directions For Questions
The column chart below gives the relative break-up of costs of ABC pvt ltd over 5 years. We know that the rent paid each year over the 5 years is the same.
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What was spent on Labour in 2013?
As we do not have the absolute values of the amount spent, we cannot determine how much was spent on Labour in 2013.
What is the ratio of the cost of raw materials in 2014 to rent in 2013?
As rent is same over the years, we can determine the ratio of costs for 2014 wrt 2013. As rent is the same proportion of overall cost for these two years, the total costs must have been the same i.e. say x. Hence, required ratio = 20% of x/ 26.67% of x =20/26.67 = 60/80 = 3:4
What is the percentage change in the amount spent on Labour from 2012 to 2015?
Let the total cost in 2012 be x and 2015 be y. Hence, rent = 32% of x = 24.62% of y => y = 32/24.62 * x = 1.3 x Labour cost in 2012 = 40% of x Labour cost in 2015 = 46.15% of y = 46.15% * 1.3 x
% Change = (46.15% * 1.3 - 40%)/40% =(60-40)/40 = 50%
What is the ratio of amount spent on Machine maintenance in 2015 versus 2011?
Let total cost in 2011 be x and 2015 be y. Rent = 30.77% of x = 24.62% of y => y = 1.25 x Hence, required ratio = 4.62% *1.25 / 2.88% = 2:1
If the amount spent on raw materials in 2014 was 2400, then how much was approximately spent on electricity in 2013?
Total costs 2014 = 2400/20% = 12000 As rent paid in both 2013 and 2014 are same proportion of total cost, Total costs 2013 = Total costs 2014 = 12000 Hence, amount spent on electricity = 5.83% of 12000 = 699.6 ≈ 700.
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