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Standard VIII

Mathematics

Inverse Proportion

A school char...

Question

A school charity sale raised $$ 4800$ . One quarter of this was taken to cover expenses. Three quarters of the remainder was given to Charity A and the remainder to Charity B. How much did B receive? (Ignore the dollar sign when entering your answer).

700

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800

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900

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1000

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Solution

The correct option is C $900$
Total charity raised $= 4800$
$\frac{1}{4}$ was taken to cover expenses
$∴ \frac{1}{4} \times 4800 = 1200$
Remaining $= 4800 - 1200 = 3600$
$\frac{3}{4}$ of the remaining given to charity A
$∴$ for A $=$ $\frac{3}{4} \times 3600 = 2700$
Remaining $= 3600 - 2700 = 900$
$∴$ B received $900$ .

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Similar questions

Q. Find the mean of the following data .

Class Interval	Frequency
$0 - 100$	$2$
$100 - 200$	$5$
$200 - 300$	$4$
$300 - 400$	$12$
$400 - 500$	$17$
$500 - 600$	$20$
$600 - 700$	$20$
$700 - 800$	$9$
$800 - 900$	$7$
$900 - 1000$	$4$

The following table gives the life times of 400 neon lamps :

(i)

Represent the given information with the help of histogram.

Life time (in hours)	Number of lamps
$300 - 400$	$14$
$400 - 500$	$56$
$500 - 600$	$60$
$600 - 700$	$86$
$700 - 800$	$74$
$800 - 900$	$62$
$900 - 1000$	$48$

(i i)

How many lamps have a life time more than

700

hours?

Question 5 (ii)
The following table gives the life times of neon lamps:
$\begin{matrix} Length (in hours) & Number of lamps 300 - 400 & 14 400 - 500 & 56 500 - 600 & 60 600 - 700 & 86 700 - 800 & 74 800 - 900 & 62 900 - 1000 & 48 \end{matrix}$
(ii) How many lamps have a life time of more than 700 hours?

Q. The median of the following data is

525

. Find the values of

x

and

y

, if the total frequency is

100

Class interval	Frequency
$0 - 100$	$2$
$100 - 200$	$5$
$200 - 300$	$x$
$300 - 400$	$12$
$400 - 500$	$17$
$500 - 600$	$20$
$600 - 700$	$y$
$700 - 800$	$9$
$800 - 900$	$7$
$900 - 1000$	$4$

The following table gives the life times of neon lamps:

Length (in hours)

Number of lamps

300 − 400

400 − 500

500 − 600

600 − 700

700 − 800

800 − 900

900 − 1000

(i) Represent the given information with the help of a histogram.

(ii) How many lamps have a lifetime of more than 700 hours?

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A school charity sale raised $4800. One quarter of this was taken to cover expenses. Three quarters of the remainder was given to Charity A and the remainder to Charity B. How much did B receive? (Ignore the dollar sign when entering your answer).

The correct option is C 900Total charity raised =480014 was taken to cover expenses∴14×4800=1200Remaining =4800−1200=360034 of the remaining given to charity A∴ for A =34×3600=2700Remaining =3600−2700=900∴B received 900.

A school charity sale raised $$ 4800$ . One quarter of this was taken to cover expenses. Three quarters of the remainder was given to Charity A and the remainder to Charity B. How much did B receive? (Ignore the dollar sign when entering your answer).