Question

A principal becomes ₹10,050 at the rate of 10% in 5 years. Find the principal​

Answer 1

Solution:-

A = ₹10,050

n = 5 years

r = 10%

P = ?

For calculating principal with the given data, We proceed as follows.

We know that,

$\sf {i \: = \frac{pnr}{100} } \\ \sf \: a = p + i \\ \sf \: a = p + \frac{pnr}{100} \\ \sf \: a = p \: (1 + \frac{nr}{100}) \\ \color{navy}\sf \: \small therefore \: 10 \: 050 = p \: (1 + \frac{10 \times 5}{100} ) \\ \sf \: = p \: (1 + \frac{50}{100} ) \\ \sf \: = p( \frac{150}{100}) \\ \sf \small\: = p \binom{3}{2} \\ \\ \color{red} \sf \small\: therefore \: p = 10050 \times \frac{2}{3} = 3350 \\ \sf \color{orange} \: hence \: principal \: = rs3350.$

$\huge\mathfrak \color{lightblue}\star {hope \: it \: helps}$