Percentage - Study Mode

[#236] The schedule working hour of a labour in a week if 48 hours and he gets Rs. 480 for that. Over time rate is 25% more than the the basic salary rate. In a week a labour gets Rs. 605, how many hours altogether he works in that week.
Correct Answer

(D) 58 hours

Explanation

Solution: Schedule working hours in week = 48
Total pay in a week for schedule working hours = Rs. 480 Pay per hour for schedule working hours = $$frac{{480}}{{48}}$$ = Rs. 10 Pay per hour for over time = 10 + 25% of 10 = Rs. 12.5 Total pay in that particular week = Rs. 605 Extra pay = 605 - 480 = 125 So, total over time = $$frac{{125}}{{12.5}}$$ xa0= 10 hours Thus, total work hour altogether in that week = 48 + 10 = 58 hours

[#237] In an election 4% of the votes caste become invalid. Winner gets 55% of casted votes and wins the election by a margin of 4800 votes. Find the total number of votes casted.
Correct Answer

(C) 50000

Explanation

Solution: Winner gets 55% of votes. As 4% votes were declared invalid so 96% would be the valid votes So, Winner gets 55% of 96% valid votes Winner gets % valid votes = $$frac{{55 imes 96}}{{100}}$$ xa0 = 52.8% votes Loser gets = 96 - 52.8 = 43.2% votes Difference = 9.6% Now, 9.6% = 4800 So, 1% = $$frac{{4800}}{{9.66}}$$ Thus, 100% Votes = $$frac{{4200 imes 100}}{{9.66}}$$ xa0 = 50000 Hence, Total Voters = 50000 Alternatively, Let total number of voters were X Invalid Votes = 4% Valid Votes = 96% Total Valid Votes = 96% of X = $$frac{{96{ ext{x}}}}{{100}}$$ = 0.96X Winner gets 55% of Valid Votes, $$ = frac{{0.96 imes 55}}{{100}} = 0.528{ ext{x}}$$ xa0 xa0 xa0votes Loser gets = (0.96X - 0.528X) = 0.432X Difference = 0. 528 - 0.432 = 0.096X 0.096X = 4800 X = 50000

[#238] A reduction of 10% in the price of cloth enables a man to buy 6 meters of cloth more for Rs. 2160. Find the reduced price and also the original price of cloth per meter.
Correct Answer

(A) Rs. 36, Rs. 40

Explanation

Solution: Money spent originally = Rs. 2160 Less money to be spent for now for the same length of cloth, = 10% of 2160 = Rs. 216 It means Rs. 216 enables a man to buy 6 meters of cloth So, reduced price = $$frac{{216}}{6}$$ = Rs. 36 per meter And the original price = $$frac{{100 imes 36}}{{90}}$$ xa0 = Rs. 40 per meter

[#239] A gardener increased the rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden:
Correct Answer

(B) Has increased by 12%

Explanation

Solution: Let original area of the garden was 100 square unit. Increase or decrease in area can be easily determined by this graphic: 100 == 40% up length ==> 140 == 20% down width ==> 112 (Final Area) So, there is 12% increase in area of the garden.

[#240] If A exceeds B by 40%, B is less than C by 20%, then A : C is
Correct Answer

(A) 28 : 25

Explanation

Solution: Let B = 100 Then, A = 100 + 40% of 100 = 140 Let C = X X - 20% of X = 100 0.8X = 100 X = $$frac{{100}}{{0.8}}$$ = 125 ∴ A : C = $$frac{{140}}{{125}}$$ = 28 : 25