Test Index

Ratio and Proportion

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Question : 11 of 112

Marks: +1, -0

Three friends divide

\text{₹} 391

in three proportional parts

\; \frac{1}{2} : \; \frac{2}{3} : \; \frac{3}{4} .

How much is the last share ?

135
153
100
none

Solution:

Concept:

Convert the fractional ratio into a whole‑number ratio by multiplying each term by the LCM of the denominators.

Explanation:

The given ratio is

\frac{1}{2} : \frac{2}{3} : \frac{3}{4}

.

LCM of

2, 3, 4

is

12

.

Multiply each term by

12

:

\frac{1}{2} \times 12 = 6

,

\frac{2}{3} \times 12 = 8

,

\frac{3}{4} \times 12 = 9

.

So the ratio becomes

6 : 8 : 9

.

Sum of parts =

6+8+9 = 23

.

Total amount = ₹

391

.

Value of one part =

391 \div 23 = 17

.

Last share (corresponding to

9

parts) =

9 \times 17 = 153

.

Answer:

₹153

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