Ramesh buys some apple at the rate of Rs. 5 per apple. He also buys an equal number of bananas at the rate of Rs. 2 per banana. He makes a 20% profit on apples and a 15% profit on bananas. At the end of the day, all the fruits are sold out. His total profit is Rs. 390. Find the number of apples purchased.
Given:
Cost price of 1 apple = ₹ 5
Cost price of 1 banana = ₹ 2
Number of apples = Number of bananas
Profit on apples = 20%
Profit on bananas = 15%
Total profit = ₹ 390
To find:
The number of apples purchased.
Solution:
Let the number of apples purchased = a
Given that number of bananas are equal to the number of apples. So, the number of
bananas purchased = a
Now,
Cost price of 1 apple = ₹ 5
Cost price of a apples = ₹ 5a
Also,
Cost price of 1 banana = ₹ 2
Cost price of a bananas = ₹ 2a
% profit is already given in the problem. So,
$Profit\ on\ 5a\ apples\ =\ 5a\ \times \ \frac{20}{100} \ =\ 5a\ \times \ \frac{1}{5} \ =\ ₹\ a$
Profit on 2a bananas = $2a\times\frac{15}{100} = 2a\times\frac{3}{20}=\frac{3a}{10}$
Given that the total profit is ₹ 390. So,
Profit of 5a apples + Profit of 2a bananas = 390
$a\ +\ \frac{3a}{10} \ =\ 390$
$\frac{10a\ +\ 3a}{10} \ =\ 390$
$\frac{13a}{10} \ =\ 390$
$a\ =\ 390\ \times \ \frac{10}{13}$
$\mathbf{a\ =\ 300}$
So, number of apples purchased is equal to 300.
Related Articles
- Vijay had some bananas, and he divided them into two lots A and B. He sold first lot at the rate of Rs. 2 for 3 bananas and the second lot at the rate of Rs. 1 per banana and got a total of Rs. 400. If he had sold the first lot at the rate of Rs. 1 per banana and the second lot at the rate of Rs. 4 per five bananas, his total collection would have been Rs. 460. Find the total number of bananas he had.
- Vijay had some bananas, and he divided them into two lots A and B. He sold the first lot at the rate of Rs 2 for 3 bananas and the second lot at the rate of Re 1 per banana, and got a total of Rs 400 . If he had sold the first lot at the rate of Re 1 per banana, and the second lot at the rate of Rs 4 for 5 bananas, his total collection would have been Rs 460 . Find the total number of bananas he had.
- Oranges are sold at the rate of Rs. 21 per dozen. Find the cost of 20 oranges.
- 1. Sonu buys 40 kg of wheat at Rs 12.50 per kg and 30 kg of wheat at Rs 14 per kg. At what rate per kg should he sell the mixture to gain 5% on the whole?2. Wasim bought two cricket bats for Rs. 840 and Rs. 360 respectively. He sells the first bat at a gain of 15% and the second one at a loss of 5%. Find his gain or loss per cent in the whole transaction.
- Hari bought 20 kg of rice at Rs.36 per kg and 25 kg of rice at Rs. 32 per kg. He mixed the two varieties and sold the mixture at Rs. 38 per kg. Find his gain percent in the whole transition.
- Fahim bought $120$ dozen pencils at $Rs.\ 10$ per dozen. His overhead expenses were $Rs.\ 80$. He sold them at $Rs.\ 1.25$ each. What was his profit or loss percent?
- Tell what is the profit or loss in the following transactions. Also find profit per cent or loss per cent in each case.(a) Gardening shears bought for Rs. 250 and sold for Rs. 325 .(b) A refrigerater bought for \( Rs. 12,000 \) and sold at \( Rs. 13,500 \).(c) A cupboard bought for \( Rs. 2,500 \) and sold at \( Rs. 3,000 \).(d) A skirt bought for \( Rs. 250 \) and sold at \( Rs. 150 \)
- Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs. 50 per metre and trouser material that costs him Rs. 90 per metre. For every 3 meters of the shirt material he buys 2 metres of the trouser material. He sells the materials at \( 12 \% \) and \( 10 \% \) profit respectively. His total sale is \( Rs. 36,600 \). How much trouser material did he buy?
- A fruit seller buys some oranges at the rate of 4 for a rupee and an equal number at 5 for a rupee. He sells the whole lot at 9 for two rupees. Find his gain or loss per cent.
- A man buys land for Rs 3,00,000. He sells 1/3rd of it at a loss of 20% and 2/5th of the plot at a gain of 25%. At what price should he sell the remaining land so as to make an overall profit of 10%?
- Karim bought 150 dozen of pencils at Rs.10 a dozen. His overhead expenses were Rs.100. He sold them at Rs. 1.20 each. What was his profit or loss percent?
- A man buys a land for Rs. 300000. He sells one - fourth at a loss of 20% and two - fifth at a gain of 25%. At what price must he sell the remaining land so as to make an overall profit of 10%?
- The cost of levelling and turfing a square lawn at Rs. $250$ per $m^2$ is Rs. 13322.50. Find the cost of fencing it at Rs. 5 per metre?
- Find the interest on a sum of Rs. 8250 for 3 years at a rate of 8% per annum.
- A gold necklace was sold for Rs 78200 at a profit of 15 %. Find its cost price?
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies