Name: Applications of Direct and Inverse Variations
Uploaded: 2019-07-19
Duration: 12 min 44 s
Description: We often come across the words direct and inverse proportions. This video will take you through everything you need to know about the applications of direct...

Question

A bag contains

₹ 187

in the form of

1

rupee,

50

paise and

10

paise coins in the ratio

3 : 4 : 5

. Find the number of each type of coins.

Accepted Answer

Given that the ratio of $1$ rupee, $50$ paise and $10$ paise coins is $3 : 4 : 5$ .

Let the number of $1$ rupee, $50$ paise and $10$ paise coins be $3 x, 4 x$ and $5 x$ , respectively.

So, the amount of money with $1$ rupee coin $= ₹ 3 x$ .

The amount of money with $50$ paise coin $= 4 x \times 50$ paise $= ₹ \frac{4 x \times 50}{100} = ₹ 2 x$ .

The amount of money with $10$ paise coin $= 5 x \times 10$ paise $= ₹ \frac{5 x \times 10}{100} = ₹ \frac{x}{2}$ .

Thus, we have, $₹ 3 x + ₹ 2 x + ₹ \frac{x}{2} = ₹ 187$

$\Rightarrow (5 + \frac{1}{2}) x = 187$

$\Rightarrow \frac{11}{2} x = 187$

$\Rightarrow x = 187 \times \frac{2}{11} = 34$ .

So, $3 x = 3 \times 34 = 102, 4 x = 4 \times 34 = 136$ and $5 x = 5 \times 34 = 170$ .

Therefore, the required number of $1$ rupee coin, $50$ paise coin and $10$ paise coin are $102, 136$ and $170$ , respectively.

S Purkayastha Solutions for Chapter: Ratio and Proportion, Exercise 7: Brain Workout

S Purkayastha Mathematics Solutions for Exercise - S Purkayastha Solutions for Chapter: Ratio and Proportion, Exercise 7: Brain Workout

Questions from S Purkayastha Solutions for Chapter: Ratio and Proportion, Exercise 7: Brain Workout with Hints & Solutions

Learn and Prepare for any exam you want !