Question

The difference between two numbers is 1550. If 8 % of one number is 10 % of the other number, then find the two numbers

A. 4973, 6523

B. 5450, 7000

C. 6200, 7750

D. 6500, 4950

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Answer 1

Answer:

C. 6200, 7750 ✔️

Step-by-step explanation:

Given :

• The difference between two numbers is 1,550
• One number's 8% is 10% of another number.

To find :

• The two numbers.

Solution :

Let the numbers be x and y

Their difference is 1,550

So, x - y = 1,550

According to the question,

$\sf: \implies \: 8\% \: of \: x = 10\% \: of \: y \\ \sf: \implies \: \frac{8x}{100} = \frac{10y}{100} \\ \sf: \implies \: 8x = 10y \\ \sf: \implies \: x = \frac{10y}{8} .......... eq.(i)$

We are getting :

$\sf \longrightarrow \: x = \frac{10y}{8}$

From equation (i) :

$\sf : \implies \: x - y = 1550 \\ \sf : \implies \: \frac{10y}{8} - y = 1550 \\ \sf : \implies \: \frac{10y - 8y}{8} = 1550 \\ \sf : \implies \: \frac{2y}{8} = 1550 \\ \sf : \implies \: y = \frac{1550 \times 8}{2} \\ \sf : \implies \: x = 6200 \: ans.$

Answer 2

Answer:

6200,7750

Step-by-step explanation:

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