M4maths Previous Puzzles

21 Jan 2015 Percentage

A business man invested 45% of the sum in dry fruit business, 35% of the sum in gift item business and 20% of the sum in fruit business. In a year he received a profit of 1 million rupee in dry fruit business and fruit business both. In gift item business he got a percentage profit equal to the sum of profit percentage in dry fruit and fruit businesses. His profit in gift item business (in million rupee) was

OPtion

1) 2.17
2) 2.32
3) 2.39
4) 2.43
5) 2.49
6) 2.53
7) 2.58
8) 2.69
9) 2.72
10)2.77

Solution

Let total investment = A (million rupee)
investment in dry fruit business = .45 A
so % profit = 1(100)/(.45*A)
similarly in fruit business
% profit = 1*(100)/ (0.20A)
Net % profit = 100/(0.45A) + 100/(0.20A)
So profit in gift item business
= [100/(0.45A) + 100/(.020A)]*(.35A/100)
= .35(1/.45 + 1/.20)
= (.35*.65)/(.45*.20)
= 35*65/45*20 = 2.53
Option 6)

Correct Option: 6 Best Solution (14)

Mahesh   9 years AGO

As the investments have no role in finding the final profit, assume the total investment as 10 lmillion
Investment in dry fruits = 4.5 million
Investment in gifts = 3.5 million
Investment in fruits = 2 million

Profit in dry fruits = 1 million
Profit % = 22.22

Profit in fruits = 1 million
Profit percentage = 50

Profit % in gifts = 22.22 + 50 = 72.22
Investment in gifts = 3.5 million
Profit = 72.22 * 3.5/100 = 2.53 million

Like? Yes (5) | No   

Abhik Das   9 years AGO

Let the total sum=100
simple 1st calculate the profit % for both dry fruit & fruit business.
for dry fruit profit %=(2.22 million)
for fruit profit %=(5 million)
then add the two percentage=(7.22 millon)%
So for gift business the profit is=(7.22*0.35)=2.537 million
So approx 2.53 million

Like? Yes (3) | No   

Swathy Murugan   9 years AGO

Dry fruits investment is 45% and fruits investment is 20%
if it is so then they get profit according to the investment
and it is given that gift profit =profit of dry fruit + profit of fruits
so 65/100x=1million
and we get 1.53 +1 million =2.53

Like? Yes (2) | No   

Ajinkya Kulkarni   9 years AGO

2.527 million rupees

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SREENIVASA RAO PALLAPU   9 years AGO

let the invest total investment is 'y' and profit in gift item business is 'x'
then
x/(.35y) = (1 million/0.45y) + (1 million / 0.2y)
=>x=2.5277 million =2.53 millon (approx)

Like? Yes (2) | No   

rakhi kumari   9 years AGO

let x million be the total sum
dry fruit:x*45/100 its profit%:10^4/45*x
gift:x*35/100 hence its profit %:((10^4)*13)/180*x
fruit:x*20/100 its profit:10^4/20*x
after calculation :(x*35/100)*((10^4)*13)/180*x/100

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Anshul Garg   9 years AGO

profit in gift items = (100/45 + 100/20)*0.35

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Ashu Tomar   9 years AGO

The profit percentage in fruits business is 50%
The profit percentage in dry fruit business is 22.22%
So,the profit percentage in gifts business is 72.22%
So, the total profit in gifts business is 2.53 million

Like? Yes (2) | No   

Sanu Panji   9 years AGO

say profit in gift item business = x million
then
x/35= 1/20+1/45
x=2.53

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sompon temtheerakij   9 years AGO

=1/0.45 + 1/0.20
= 7.22
=7.22*0.35 = 2.53

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arush gupta   9 years AGO

ans 2.5277

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Niraj Agarwal   9 years AGO

Let Sum = x ;
then Cost price (CP) for Dry fruits = 9x/20
for gift items = 7x/20
for fruits = x/5

Profit for both dry fruits and fruits business = 10^6 rupees
Let profit for gift items = p

Also,
Percentage profit for gift items = percentage profit for dry fruits + percentage profit for fruits;
Thus, we have the expression
20p/7x = 10^6 ( 20/9x + 5/x) ;

On cancelling out x from the whole expression and solving for p;
we get p = 2.527 million = 2.53 million

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Paras Jain   9 years AGO

I did it... 2.53 Ans.

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Jaspalsingh Parmar   9 years AGO

6 is correct

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