Question

Rs 7500 is borrowed at 7 1/2 % state of interest p.a. for 3 years. find the amount to be paid at the end of 3 years​

Answer 1

2546

Step-by-step explanation:

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Answer 2

➤ Given :-

Principle :- ₹7500

Rate of interest :- 7½ %

Time :- 3 years

➤ To Find :-

Amount paid at end of 3 years

➤ Formula required :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{Simple \: interest + Principle}}}}$

How to do :-

Here, we are given that principle amount is ₹7500, rate of interest is 7.5% and time is 3 years. First, we should find the simple interest by multiplying the principle, rate and time and then divide by 100 and then we should use the given formula and find the total amount.

➤ Solution :-

Simple Interest :-

${\tt \longrightarrow \dfrac{7500 \times 7.5 \times 3}{100}}$

${\tt \longrightarrow \dfrac{\cancel{7500} \times 7.5 \times 3}{\cancel{100}} = 75 \times 7.5 \times 3}$

${\tt \longrightarrow 75 \times 7.5 \times 3 = \underline{75 \times 22.5}}$

${\tt \longrightarrow Rs \: \: 1687.5}$

Now,

Total amount :-

${\tt \longrightarrow 1687.5 + 7500}$

${\tt \longrightarrow \boxed{\tt Rs \: \: 9187.5}}$

$\Huge\therefore$ The total amount of the given sum is ₹9187.5.

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$\dashrightarrow$ Some related formulas :-

Simple Interest :- ${\boxed{\tt\dfrac{P \times R \times T}{100}}}$

Principle :- ${\boxed{\tt\dfrac{SI \times 100}{R \times T}}}$

Rate of interest :- ${\boxed{\tt\dfrac{SI \times 100}{P \times T}}}$

Time :- ${\boxed{\tt\dfrac{SI \times 100}{P \times R}}}$