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Answers
Step-by-step explanation:
11) let us consider number of boys and girls
in a school =300 and 200 = 3:2 [ ATQ]
then total students 300 + 200 = 500
question said
20% boy's and 25% girls scholarship holders
means
300 × 20/100 = 60 boys scholarship holder's
and
200 × 25/100 = 50 girls scholarship holder's
remaining boys and girls
( 300 - 60 ) + ( 200 - 50 ) = 240 + 150 = 390.
now
100% equal to 500 students
what% equal to 390 students
i,e 100% = 500
? = 390
cross multiply above
? = 390 × 100/500 = 78
therefore 78% of students doesn't get
scholarship holder's.
12)
600 × 0.25 = 150 rupees
1200 × 50 = 600 rupees
according to question
12% of 25 paisa coins are removed
so 600 × 12/100 = 72 coins
72 × 0.25 = 18 rupees.
24% of 50 paisa coins are removed
so 1200 × 24/100 = 288 coins
288 × 0.50 = 144 rupees.
total rupees in a bag 600 + 150 = 750
this is equal to 100%.
total removed rupees from the bag
18 + 144 = 162 rupees this is equal to ?%
i,e 100% = 750
?% = 162
?% = 16200/750 = 21.6%
Hence
21.6% of money removed from the bag.
13) 4 apples cost price 15 rupees
1 apple cost price 15/4 = 3.75 rupees
5 apples selling price 16
1 apple selling price 16/5 = 3.20 rupees
So,
1 apple cp = 3.75 rupees = 375 paisa
1 apple sp = 3.20 rupees = 320 paisa
loss = 3.75 - 3.20 = 0.55 rupee = 55 paisa
we know that
loss% = loss/cp × 100
= 55/375 × 100 = 14.66%
therefore loss percentage 14.66%.
14) selling price of two cows each 1955
one is 15% profit means
115% = 1955
100% = ?
cross multiply above
? = 195500/115 = 1700 [cp of 1st cow]
second is 15% loss means
85% = 1955
100% = ?
cross multiply above
? = 195500/85 = 2300 [cp of 2nd cow]
total selling price = 1955 + 1955 = 3910
total cost price = 1700 + 2300 = 4000
so loss
loss = cp - sp = 4000 - 3910 = 90
therefore 90 rupees loss.
15) let goods cp = 100%
marked price 25% above
thus, 100 × 125/100 = 125
discount 12.5%
so sp
125 × 87.5/100 = 109.375
profit = sp - cp = 109.375 - 100 = 9.375
profit% = 9.375/100 × 100 = 9.375%.
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