Example 2 : The sum of three numbers is 174. The ratio of second number to the third number is 9:16 and the ratio of first number to the third one is 1 : 4. Find the second number. Sol 16 and
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Question
A shopkeeper buys 200 bicycles at Rs. 1200 per bicycle. He spends Rs, 30 per bicycle on transportation. He also spends Rs. 400 on advertising. Then he sells all the bicycle at Rs. 1350 per piece. Find his profit or loss Also, calculate it as a percentage.
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Solution
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It is given that
C.P. of one bicycle =Rs.1200
C.P. of 200 bicycle = 1200× =240000
Expenditure on transportation for one bicycle =Rs.30
Expenditure on transportation for 200 bicycle = 30× 200=Rs.6000
Expenditure on advertising = Rs.4000
We know that
Net C.P. of the bicycle =240000+6000+4000
=Rs.250000
S.P. of 200 bicycle at Rs. 1350 per bicycle $$= 200 × 1350= Rs. 270000$$
So profit = S.P – C.P.
Substituting the values
=270000–250000
=Rs20000
Here
Profit % = [Profit/ C.P. × 100] %
Substituting the values
=[20000/250000×100] %
So we get
=200/25 %
=8%
Answer: Let the third number be 16a
Second number = 9a
First number = 4a
According to question,
16a + 9a + 4a = 174
=> 29a = 174
=> a = 174 / 29
=> a = 6
First number = 16 × 6 =96
Second number = 9 × 6 = 54
Third number = 4 × 6 = 24
Step-by-step explanation: