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12. Equations in One Variable
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Q8 of 25 Page 79

Raju sold a bicycle to Amit at 8% profit. Amit repaired it spending Rs.54. Then he sold the bicycle to Nikhil for Rs.1134 with no loss and no profit. Find the cost price of the bicycle for which Raju purchased it.

let the cost of the cycle for Raju be




So according to given conditions total cost = total selling price



Adding on both sides



Multiplying by on both side


100x + 8x = 108000


108x = 108000


Dividing by on both side


x = 1000


So, cost of cycle to Raju is Rs.1000


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6

Some tickets of Rs.200 and some of Rs.100, of a drama in a theatre were sold. The number of tickets for Rs.200 sold was 20 more than the number of tickets for Rs.100. The total amount received by the theatre by the sale of tickets was Rs.37000. Find the number of Rs.100 tickets sold.

7

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9

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10

Sudhir’s present age is 5 more than three times the age of Viru. Anil’s age is half the age of Sudhir. If the ratio of the sum of Sudhir’s and Viru’s age to three times Anil’s age is 5:6, then find Viru’s age.

Questions · 25
12. Equations in One Variable
1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 2 3 4 5 6 7 8 9 10
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