search
Log In
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
1 vote
74 views

Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil’s share of investment is $70 \%.$ His share of profit decreases by $₹ \; 420$ if the overall profit goes down from $18 \%$ to $15 \%.$ Chintu’s share of profit increases by $₹ \; 80$ if the overall profit goes up from $15 \%$ to $17 \%.$ The amount, $\text{in INR},$ invested by Bobby is

  1. $2400$
  2. $2200$
  3. $2000$
  4. $1800$
in Quantitative Aptitude 2.7k points 5 79 342
retagged by
74 views

1 Answer

1 vote
Let the total amount invested by Anil, Bobby, and Chintu be $\text{‘I’}.$

Anil’s share of investment is $70\%.$ His share of profit decreases by $₹ \; 420$ if the overall profit goes down from $18 \%$ to $15\%.$

Now, $70 \% \; \text{of} \; (18\% \; \text{of I} – 15\% \; \text{of I}) = 420$

$\Rightarrow 70 \% \; \text{of} \; 3\% \; \text{of I} = 420$

$\Rightarrow \frac{70}{100} \times \frac{3}{100} \times \text{I} = 420$

$\Rightarrow \boxed{\text{I} = 20000}$

Chintu’s share of profit increases by $₹ \;80$ if the overall profit goes up from $15 \%$ to $17\%.$

Let the percentage share of Chintu be $\text{‘C’}.$

$\text{C} \% \; \text{of} \; 2\% \; \text{of I} = 80$

$\Rightarrow \frac{\text{C}}{100} \times \frac{2}{100} \times 20000 = 80$

$\Rightarrow \boxed{\text{C} = 20\%}$

Now, profit share by Bobby $ = 100\% – (70\% + 20\%)= 100\% – 90\% = 10\%$

$\therefore$ The amount invested by Bobby $ = 10\% \; \text{of I} = \frac{10}{100} \times 20000 = ₹ \; 2000.$

Correct Answer $: \text{C}$
10.1k points 4 8 30
edited by
Answer:

Related questions

1 vote
1 answer
1
102 views
A person buys tea of three different qualities at $₹ \; 800, ₹ \; 500,$ and $₹ \; 300 \; \text{per kg},$ respectively, and the amounts bought are in the proportion $2:3:5.$ She mixes all the tea and sells one-sixth of the mixture at $₹ \; 700 \; \text{per kg}.$ The ... $\text{INR per kg},$ at which she should sell the remaining tea, to make an overall profit of $50 \%,$ is $675$ $653$ $692$ $688$
asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 102 views
1 vote
1 answer
2
44 views
Consider the pair of equations: $x^{2} – xy – x = 22$ and $y^{2} – xy + y = 34.$ If $x>y,$ then $x – y$ equals $7$ $8$ $6$ $4$
asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 44 views
1 vote
1 answer
3
81 views
If a rhombus has area $12 \; \text{sq cm}$ and side length $5 \; \text{cm},$ then the length, $\text{in cm},$ of its longer diagonal is $\sqrt{13} + \sqrt{12}$ $\sqrt{37} + \sqrt{13}$ $\frac{\sqrt{37} + \sqrt{13}}{2}$ $\frac{\sqrt{13} + \sqrt{12}}{2}$
asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 81 views
1 vote
1 answer
4
73 views
The number of ways of distributing $15$ identical balloons, $6$ identical pencils and $3$ identical erasers among $3$ children, such that each child gets at least four balloons and one pencil, is
asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 73 views
1 vote
1 answer
5
68 views
For a sequence of real numbers $x_{1}, x_{2}, \dots , x_{n},$ if $x_{1} – x_{2} + x_{3} – \dots + (-1)^{n+1} x_{n} = n^{2} + 2n$ for all natural numbers $n,$ then the sum $x_{49} + x_{50}$ equals $2$ $-2$ $200$ $-200$
asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 68 views
...