Let the number of question be Y.
60% of Y = 12
60Y / 100 =12
Y = 20
Average rate per hr = 240/40 = Rs6/hr
In last week, his rate per hour increases by 50%,
so in the last week, his hourly rate = Rs.6 x (1+50%)= Rs.9
Total hour spent in final week = 60h
? Total commission = 60h x Rs.9/hr = Rs.540
Old price of rice = ? 24/kg
New price of rice = ? 27 per/Kg
? increased in price of rice = New price - Old prices = 27 - 24 = ? 3/kg
? increased percentage in price = (3/24) x 100
= 121/2 %
Now, reduction in consumption, so as to keep the expenditure fixed.
According to the formula,
= [a/(100 + a)] x 100 %
=[1.25/(100 +12.5)] x 100%
= 11.1%
Let original rate of rice be ? x per kg
Reduced rate = ? [(100 - 6.25) x (1/100) x W]
= ? 15W/16 per kg
According to the question
120/(15W/16) - 120/W = 1
? (120 x 16)/15W - 120/W = 1
? 120 x 16 - 1800 = 15W
? 128 - 120 = W
? W = ? 8 per kg.
? Reduced rate = ? (15/16) x 8 per kg
=? 7.50 per kg
Let the weight of fresh grapes be W.
Quantity of water in it = (80/100) x W = 4W/5
Quantity of pulp in it = W - (4W/5) = W/5
Quantity of water in 500 gm dry grapes
= (10/100) x 500 = 50 kg
? Quantity of pulp in it = (500 -50) = 450 kg
W/5 = 450
? W = 2250 kg
Number of sweets received by every students = 15% of 40 = (40 x 15)/100 = 6
? Number of sweets received by 40 students = 40 x 6 = 240
Number of sweets received by each teacher = 20% of 40 = (40 x 20)/100 = 8
? Number of sweets received by 5 teachers = 8 x 5 = 40
? Total number of sweets = 240 + 40 = 280
From question,
Food items = 40%
Clothes + conveyance = 50% of 60% = 30%
? Remaining amount = (100 - 40 - 30)% = 30%
? 1/3 of 30% = 19200
? 10% = 19200
? 100% = Rs. 192000
So his monthly income = 192000 / 12 = 16000
? J = 40% of A =2A/5
? P = 1/4 x 2A/5 = A/10
? A/10 - 200 = 600
? A/10 = 800
? A = Rs. 8000
Suppose there are 8y questions were asked apart from the 41 question.Then
37 + 5y/41 + 8y = 80% = 4/5
? 185 + 25y = 164 + 32y
? 7y = 21
? y = 3
? Total no. of questions = 41 + 8 x 3 = 65.
Number of student who speak only English =30% of 60 = 18
Number of student who speak Hindi and English =20% of 60 =12
?Number of student who speak only Hindi = (60 - 30) = 30
?Number of student who speak Hindi = 30 + 12 = 42
Number of females = 156800 x 100/80 = 196000
? Number of males = 7/8 x 196000 = 171500
Total population = 196000 + 171500 = 367500
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