Mathematics Express>Chapter 9 - Ratio and Proportion>Exercise 1>Q 52

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IMPORTANT

Earn 100

Three workers Pari, Rani and Priti can complete a piece of work in $8$ days. Pari takes $15$ days less than Rani to complete the same work. Find in how many days will Priti take to complete the whole work alone with $75 %$ of her original efficiency if Rani can complete the work alone in $45$ days $?$

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Important Questions on Ratio and Proportion

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IMPORTANT

Mathematics Express>Chapter 9 - Ratio and Proportion>Exercise 1>Q 53

A, B & C

can do a work in

16

days,

12 \frac{4}{5}

days &

32

days respectively. They started the work together but after

4

days A left, B left the work

3

days before the completion of the work. In how many days was the work completed.

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IMPORTANT

Mathematics Express>Chapter 9 - Ratio and Proportion>Exercise 1>Q 1

Three persons start a business with capitals in the ratio

\frac{1}{3} : \frac{1}{4} : \frac{1}{5}

. The first person withdraws half his capital after

4

months. What is his share of profit if the business-fetches an annual profit of

₹ 96, 800

?

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Mathematics Express>Chapter 9 - Ratio and Proportion>Exercise 1>Q 2

What is the value of

x

, if

\frac{b + \sqrt{b^{2} - 2 b x}}{b - \sqrt{b^{2} - 2 b x}} = a

?

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IMPORTANT

Mathematics Express>Chapter 9 - Ratio and Proportion>Exercise 1>Q 3

Let the work done by

(x - 1)

men in

(x + 1)

days be

y

. Let the work done by

(x + 2)

men in

(x - 1)

days be

z

. If

y : z = 9 : 10

, then what is the value of

x

?

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Mathematics Express>Chapter 9 - Ratio and Proportion>Exercise 1>Q 4

20

men are supposed to complete a work in

10 days

. After completing for

5 days

, they realise that only one fourth of the work is done. How many more men they need to employ to finish the work on time?

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Mathematics Express>Chapter 9 - Ratio and Proportion>Exercise 1>Q 5

A motorboat has speed

30 km / h

in still water, It goes

60 km

down stream and comes back in

\frac{9}{2} hours

. What is the speed of the stream?

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Mathematics Express>Chapter 9 - Ratio and Proportion>Exercise 1>Q 6

A person agrees to work for

30 days

on the condition that for every day's work he should receive

₹ 500

and that for everyday's Absent from work he should for forfeit

₹ 100

. At the end of the time he received

₹ 11400

, How many days did he work?

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IMPORTANT

Mathematics Express>Chapter 9 - Ratio and Proportion>Exercise 1>Q 7

8

men or

12

women can do a piece of work in

24

days. In how many days can the work be done by

8

men and

12

women?