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Forty percent of Mouli’s annual salary is equal to 160% of Surya’s annual salary. Surya’s monthly salary is 80%of Gowthaman’s monthly salary. If Gowthaman’s annual salary is 12 lacs, what is Mouli’s monthly salary? (At some places annual income and in some place monthly income is given)
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Gowthaman’s monthly salary = 12,00,000/12
= 1,00,000
Surya’s monthly salary = 1,00,000 x 80/100
= 80,000
Mouli’s monthly salary = 80,000x 160/40
=3,20,000
A receptacle is in the form of a hemi-spherical bowl on which is mounted a hollow cylinder. The diameter of the sphere is 22 cm and the total height of receptacle is 35cm, find the capacity of the receptacle.
Diameter is 22, so radius is 11cm Total height = 35 cm, so height of cylinder = 35-11 = 24cm (because height of hemisphere is same as its radius) Capacity of vessel = volume of cylinder + volume of hemisphere So = πr2h + 2/3 *πr3 = 22/7 * 11 * 11 * 24+ 2/3 * 22/7 * 11 * 11 * 11
= 9126.85+2788.76
= 11915.61cu cm
Suprith bought 40 kg of rava at the rate of Rs.8.50 per kg and 55 kg at the rate of Rs.8.75 per kg. He mixed the two. Approximately at what price per kg should he sell the mixture to make 40% profit at the cost price?
Total cost price = 40* 8.5+ 55* 8.75
= 821.25
Total selling price = 821.25*140/100
= 1149.75
Required selling price per kg = 1149.75/95= Rs. 12
A boat man lakes 5hrs 30 mins to row a boat 30km downstream of a river and 4 hrs 15mins to cover a distance of 10km upstream. Find the speed of the river current in km/hr(Approx).
Rate downstream = (30 / 5 ½ ) km/hr
= 30 / (11/2) km/hr
= 30 * 2 / 11 km/hr
= 60/11 km/hr
Rate upstream = (10 / 4 ¼)km/hr
= 10 / (17/4)km/hr
= 10 * 4 / 17 km/hr
= 40 / 17 km/hr
Speed of current = 1 / 2 (a – b) km/hr
=1 / 2 (60 / 11 – 40 / 17)
= 1.5 km/hr (approx.)
Consider a pack contains 2black, 9 white and 3 pink pencils. If a pencil is drawn at random from the pack, replaced and the process repeated 2 more times, What is the probability of drawing 2 black pencils and 1 pink pencil?
Here, total number of pencils = 14
Probability of drawing 1 black pencil = 2/14 Probability of drawing another black pencil = 2/14 Probability of drawing 1 pink pencil = 3/14 Probability of drawing 2 black pencils and 1 pink pencil = 2/14 * 2/14 * 3/14 = 3/686
Sakthi running at 27 kmph along the railway track. He was 272 metres ahead of the engine. A 240 metres long train running at 135 kmph in the same direction of sakthi. How much time will the train take to pass sakthi?
Speed of the train = 135 kmph
Speed of sakthi = 27 kmph
Speed of train relative to sakthi = (135-27) kmph
=108 kmph
We have to find the time in seconds, so convert the speed in the unit of m/sec.
108 kmph = (108 * 5/18) m/s
= 30 m/s
Length of the train = 240 m
Distance covered by sakthi = 272m
Total Distance to be covered = (240 +272) m
= 512 m
Speed of the train = Distance / Time
Therefore Time taken = (512 / 30) sec
= 17 sec
In a post graduate examination the marks obtained by a student is 75 per paper. If he had obtained 33 marks more in Evs paper & 27 more marks in science paper, then his average per paper is increased by 3 marks. Then how many papers were there in exam?
Let the number of paper be A.
Then total marks earned him = 75A
from questions,
75A + 33+ 27= 78A
3A = 60=> A=20 = number of subjects
Sukumar purchases 10 goats at Rs. 1500 each. 1 goat died. He sold 2 goats at 5% loss, at what rate he should sale the remaining goat, so as to gain a Profit of 10 % on the total Cost?
Selling Price with Profit of 10 % of total cost = 1500*10*110/100
= 16500
Selling Price of 2 goat with 5% loss= 3000*95/100
= 2850
Difference = 16500-2850= 13650
So rate of the goats for selling to gain 10% profit on total = 13650/7
= Rs. 1950
Agalya started a work with Rs. 144000 and after 3 months Bhuvana joined with her the amount of Rs. 116000. At the end of the year bhuvana received a profit of Rs. 20960 including 16% as a commission for maintain the work. Find the profit earned by agalya at the end of the year approximately?
Ratio of agalya & bhuvana
144000*12: 116000*9= 48:29
Let the total profit be Z.
Profit earned by bhuvana =16 % of Z+ 29/77 of 84 % of Z=20960
524Z= 20960 * 100 *11 => Z= Rs.44000.
Total profit by agalya
=48/77 *84/100 *44000 = Rs.23040.
Kriya deposits an amount of Rs. 65800 to obtain in a simple interest at the rate of 14 p.c.p.a. for 4 years. What total amount will Kriya get at the end of 4 years?
100===156
65800===?
102648
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