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True [87]
3 years ago
10

H. Four businessman invested a sum of Rs.

Mathematics
1 answer:
balandron [24]3 years ago
8 0

Answer:

The answers are in solutions.

Step-by-step explanation:

  • Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.

(i) The amount invested by each businessman is;

<u>1^st businessman invested:</u>

<u />

\frac{3}{25}  * 250,000 = Rs. 30,000

<u>2^nd businessman invested:</u>

<u />

<u />\frac{5}{25} * 250,000 = Rs. 50,000

<u>3^rd businessman invested:</u>

<u />

<u />\frac{7}{25} *250,000 = Rs. 70,000

<u>4^th businessman invested:</u>

<u />

\frac{10}{25} *250,000 = Rs. 100,000

  • If they gained Rs. 50,000

(ii) The profit each one of them got is;

<u>1^st businessman got:</u>

<u />

<u />\frac{3}{25} * 50,000 = Rs. 6,000

<u>2^nd businessman got:</u>

<u />

<u />\frac{5}{25} *50,000 = Rs. 10,000

<u>3^rd businessman got:</u>

<u />

<u />\frac{7}{25} *50,000 = Rs. 14,000

<u>4^th businessman got:</u>

\frac{10}{25} *50,000 = Rs. 20,000

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a collection of dimes and quarters is worth $19.85. There are 128 coins in all. How many of each type of coin are in the collect
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Number of dimes were 81 and number of quarters were 47

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

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value of 1 quarter = $ 0.25

<em><u>Given that There are 128 coins in all</u></em>

number of dimes + number of quarters = 128

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<em><u>Also given that collection of dimes and quarters is worth $19.85</u></em>

number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 19.85

d \times 0.10 + q \times 0.25 = 19.85

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<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

d = 128 - q -------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

0.1(128 - q) + 0.25q = 19.85

12.8 - 0.1q + 0.25q = 19.85

12.8 + 0.15q = 19.85

0.15q = 7.05

<h3>q = 47</h3>

Therefore from eqn 3,

d = 128 - q

d = 128 - 47

<h3>d = 81</h3>

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