Advertisements
Advertisements
Question
Raju sold a bicycle to Amit at 8% profit. Amit repaired it spending ₹ 54. Then he sold the bicycle to Nikhil for ₹ 1134 with no loss and no profit. Find the cost price of the bicycle for which Raju purchased it.
Solution
Let the cost price of the bicycle for Raju = ₹ x
The selling price of bicycle for Raju = Cost price of bicycle + Profit
= x + 8% on cost price
= `x + 8/100 xxx`
= `x + 8/100x`
∴ The selling price of the bicycle for Raju = Purchase price of bicycle for amit
∴ Purchase price of bicycle for Amit = `x + 8/100x ` ...(i)
Now selling price of bicycle for Amit = purchase price of bicycle for amit + Reparing
= `x + 8/100x + 54` from (i) and given
∴ Selling price of bicycle for Amit = purchase price of bicycle for Nikhil
∴ Purchase price of bicycle for Nikhil = `x + 8/100x + 54`
∴` 1134 = x + 8/100x + 54` ...given
∴ `x + 8/100x = 1134 - 54`
∴ `(100x + 8x)/100` = 1080
∴ 108x = 1080 × 100
= `x = (1080 xx 100)/108`
∴ x = ₹ 1000
∴ The cost price of bicycle for which Raju purchased = ₹ 1000
RELATED QUESTIONS
Mother is 25 year older than her son. Find son's age if after 8 years ratio of son's age to mother's age will be `4/9`.
The denominator of a fraction is greater than its numerator by 12. If the numerator is decreased by 2 and the denominator is increased by 7, the new fraction is equivalent with `1/2`. Find the fraction.
The ratio of weight of copper and zinc in brass is 13 : 7. find the weight of zinc in a brass utensil weighing 700 gm.
Find three conescutive whole numbers whose sum is more than 45 but less than 54.
In a two digit number, digit at the ten's place is twice the digit at units's place. If the number obtained by interchanging the digits is added to the original number, the sum is 66. find the number.
Some tickets of ₹ 200 and some of ₹ 100, of a drama in a theatre were sold. The number of tickets of ₹ 200 sold was 20 more than the number of tickets of ₹ 100. The total amount received by the theatre by sale of tickets was ₹ 37000. Find the number of ₹ 100 tickets sold.
Of the three consecutive natural numbers, five times the smallest number is 9 more than four times the greatest number. Find the numbers.
A Cricket player scored 180 runs in the first match and 257 runs in the second match. Find the number of runs he should score in the third match so that the average of runs in the three matches be 230.
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.
