Mark ( ) against the correct answer in the following: At which su… - Vidyadip

MCQ

Mark $(\checkmark)$ against the correct answer in the following:
At which sum the simple interest at the rate of $3\frac34\%$ per annum will be $Rs. 210$ in $2\frac13$ years?

A
$Rs. 1580$
✓
$Rs. 2400$
C
$Rs. 2800$
D
None of these

✓

Answer

Correct option: B.

$Rs. 2400$

Rate $=3\frac34\%$ per annum
$=\frac{15}{4}\%$ per annum
Time $=2\frac13$ years
$=\frac73$ years
$\text{S.I.}=\frac{\text{P}\times\frac{15}{4}\times\frac{7}{3}}{100}$
$\Rightarrow\text{P}=\frac{210\times100}{\Big(\frac{15}{4}\times\frac{7}{3}\Big)}$
$\Rightarrow\text{P}=600\times4$
$\Rightarrow\text{P}=\text{Rs. }2400$

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