CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Converting Ratios to Percentages

A Sum of mone...

Question

A Sum of money 20060 has been divide amongst A, B, and C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. Finds B's Share

Please suggest the fastest and easiest method to solve this

Open in App

Solution

$t o t a l space a m o u n t equals 200060 space l e t space a m o u n t space g i v e n space t o space C space equals x space a m o u n t space g i v e n space t o space B equals 1 divided by 4 space t h space o f space C apostrophe s space a m o u n t space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space left parenthesis 1 divided by 4 right parenthesis space asterisk times x space space space space space space space space space space space space space space space space space space space space space equals x divided by 4 space a m o u n t space g i v e n space t o space A equals 2 divided by 3 space r d space o f space B space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals left parenthesis 2 divided by 3 right parenthesis asterisk times left parenthesis x divided by 4 right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 x divided by 12 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals x divided by 6 space t o t a l space a m o u n t space equals space a m o u n t space g i v e n space t o space A plus space a m o u n t space g i v e n space t o space B plus space a m o u n t space g i v e n space t o space C space space space space space space space space space space space space space space space space space space space space space space equals x divided by 6 space plus space x divided by 4 space plus space x space space space space space space space space space equals x left square bracket 1 divided by 6 plus space space 1 divided by 4 plus space 1 right square bracket space â�� â�� â�� â�� â�� â�� â�� space space space space space space space space equals x left square bracket fraction numerator 1 asterisk times 2 over denominator 6 asterisk times 2 end fraction plus fraction numerator 1 asterisk times 3 over denominator 4 asterisk times 3 end fraction plus fraction numerator 1 asterisk times 12 over denominator 1 asterisk times 12 end fraction right square bracket space space space space space space space space space l c m left parenthesis 4 comma 6 right parenthesis equals 12 space space space space space space space space equals x left square bracket fraction numerator 2 plus 3 plus 12 over denominator 12 end fraction right square bracket space space space space space space space equals fraction numerator 17 x over denominator 12 end fraction w e space h a v e space t o t a l space a m o u n t equals 20060 equals fraction numerator 17 x over denominator 12 end fraction x equals 20060 asterisk times 12 over 17 space space space space equals 14160 B apostrophe s space s h a r e space equals x over 4 space space space space space space space space space space space equals 14160 over 4 space space space space space space space space space equals 3540$

Suggest Corrections

thumbs-up

0

Similar questions

510

are divided among A, B and C in such a way that A gets

\frac{2}{3}

of what B gets, and B gets

\frac{1}{4}

of what C gets. Find the share of each.

Q. If Rs.510 be divided among A, B, C in such a way that A gets

\frac{2}{3}

of what B gets and B gets

\frac{1}{4}

of what C gets, then, their shares are respectively

Q. A sum of money is divided amongst A, B, and C in the ratio of

\frac{1}{2}

\frac{1}{3}

\frac{1}{4}

. A gets Rs. 400 more than B. What is the total amount?

₹1360 has been divided among A and B such that A gets $\frac{2}{3}$ of B. B’s share is:

Q. Let`s divide

₹ 360

among Pinku, Kakoli and Amin in such a way that the money each gets will be in a ratio of

2 : 3 : 7

. Let's find, how much money pinku gets.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Percentages and Why Percentages

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Converting Ratios to Percentages

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon