Question

→ If a man sold an article for ₹150 gaining 50%, then the
cost price of the article is ______
(a) ₹105 (b) ₹100 (c) ₹110 (d) ₹115

→On dividing by , if we get a zero remainder, then we can say that:
(a) p is a factor of q
(b) p and q both are the factors of each other
( c) q is a factor of p
(d) none of these

→The ratio of 6 score to 8 dozen is__________
(a) 15 : 28
(b) 4 : 5
(c) 25 : 24
(d) 5 : 4

pls answer ill mark u as brainliest.

Answer 1

★ How do to :-

Here, we are given with three sums to solve. One is based on cost price and the second is based on fractions and the third is based on ratios. We can solve these problems easily. First sum is solved by a formula and the second and third should be thinked logically.

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➤ Solution (1) :-

Cost price :-

${\tt \leadsto \dfrac{100}{(100 + 50)} \times 150}$

${\tt \leadsto \cancel \dfrac{100}{150} \times 150 = \dfrac{2}{3} \times 150}$

${\tt \leadsto \dfrac{2 \times 150}{3} = \dfrac{300}{3}}$

${\tt \leadsto \cancel \dfrac{300}{3} = \boxed{\tt Rs \: \: 100}}$

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➤ Solution (2) :-

On dividing a number, if we get zero as remainder, then we can say that q is a factor of p.

For example :-

${\tt \leadsto \dfrac{30}{3}}$

Here, 3 is a factor of 30, but 30 is not a factor of 3.

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➤ Solution (3) :-

1 score :- 20 items

6 scores :- 20 × 6 = 120 items

1 dozen :- 12 items

8 dozen :- 12 × 8 = 96

Now,

Ratio :-

${\tt \leadsto 120:96}$

${\tt \leadsto \cancel \dfrac{120}{96} = \dfrac{5}{4}}$

${\tt \leadsto \boxed{\tt 5:4}}$

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More to know :-

• Ratios can also be written in the form of fraction, decimal and percentage format by using some methods. They all represent same values. The ratios are used to compare two different substances. The dots at middle of two numbers determines ratios.