Question

Mrs khanna has jewellery worth Rs 5,50,000. if the value of gold appreciated by 10% in a year, find the original price of the jewellery ( assuming she bought the gold a year back) ?​

Answer 1

Rs 5,00,000

Step-by-step explanation:

How to solve ?

Basically This question is related to Uniform rate of growth. So, just use the formula for solution i.e

$\sf \large{\: A = \: P {(1 + \dfrac{r}{100} )}^{n}}$

here, A = Amount ( Final money)

P = Principal (Initial Money)

r = rate of increase per year

n = no. of years

Given:

P = ?

A = Rs 550000

r = 10%

n = 1 year

Solution:

Let, the principal be x

According to question,

$\sf A\: = P(1 + \frac{r}{100}) {}^{n} \\ \\ \sf 550000 = x \times (1 + \frac{10}{100}) {}^{1} \\ \\ \sf 550000 = x \times \frac{110}{100} \\ \\ \sf \cancel{550000} \: = \: x \: \times \frac{ \cancel{11}}{10} \\ \\ \sf 50000 \times 10 = x \\ \\ \sf \: x = Rs \: 500000$

Therefore, The required answer is Rs 500000.