Question

A person who has a certain amount with him goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance he purchased oranges. Number of oranges he can purchase is:
(a) 36
(b) 40
(c) 15
(d) 20

Answer 1

Hint: In this question, first you need to find out the total amount of money the person has with the help of the number of oranges or the number of mangoes. Another condition has been given to find the total amount, find the amount while subtracting the other expenses like taxi fares and cost of 20 mangoes and find how much money is left after the expenses. Compare the remaining amount with the cost of one orange to find the number of oranges he can purchase.

Complete step-by-step answer:
A person has the amount of money to buy 50 oranges or 40 mangoes. He takes a taxi and uses up 10% of the total amount and buys 20 mangoes, with the balance amount let us find out how many oranges he can purchase.
Let the price of the oranges be $ x $ .
Total amount the person has is $ 50x $ .
Hence, 40 mangoes cost Rs. $ 50x $ as well.
Let us find out how much will one mangoes cost, 1 mango = $ \dfrac{50x}{40} $
There one mango will cost Rs. $ 1.25x $
Now, we have the cost of one mango and one orange and the total amount of money, the person has, let us find out for the next conditions.
The person spends 10% of the total money he has on taxi fares so, we get
10% of $ 50x $ $ =\dfrac{10}{100}\times 50x $
                     = $ 5x $
The amount spent on taxi fares is Rs. $ 5x $
Now, if he buys 20 mangoes from the remaining amount,
Cost of one mango is Rs. $ 1.25x $
Cost of 20 mangoes will be = $ 20\times 1.25x $
                                                 = $ 25x $
Now, let us find how much money has left with the person = Total money – taxi fares – cost of 20 mangoes
Amount left with the person = $ 50x $ – $ 5x $ – $ 25x $
                                                    = $ 50x $ – $ 30x $
                                                    = $ 20x $
If one orange cost Rs. $ x $
Then, 20 oranges will cost rupees $ 20x $ .
Hence, the number of oranges the person can purchase with the amount he has left with is 20.

Note: Here, it is important to consider the price of either one mango or one orange, which is the base of the whole solution. Remember to input the units of given values and the calculated values so that you do not get confused because most of the values are in terms of $ x $ .