Question

What sum will amount to Rs 1212 in three years and 4month at 6% interest per annum?

Answer 1

Answer:

1454.4

Step-by-step explanation:

3 yrs 4months problem is 4 months Let's convert it into yrs Therefore 4/12 =1/3

SI=P×N×R/100

SI=1212×3 1/3×6

SI=242.4

Answer 2

${\Huge{\boxed{\boxed{\red{\mathrm{Question : }}}}}}$

What sum will amount to ₹ 1212 in 3 years and 4 month at 6% interest per annum?

${\Huge{\boxed{\boxed{\orange{\mathrm{Answer: }}}}}}$

ʟᴇᴛ ᴛʜᴇ sᴜᴍ ʙᴇ = x

ᴛɪᴍᴇ = 3 ʏᴇᴀʀs 4 ᴍᴏɴᴛʜs =

$\sf{ 3\frac{4}{12} \: years = \frac{10}{3} years }$

ʀᴀᴛᴇ = 6% ᴘ. ᴀ.

ᴀᴍᴏᴜɴᴛ = ʀs. 1212

$\sf{ Simple \: Interest = \frac{P \times R \times T}{100} } \:$

$\sf{ Simple \: Interest = \: \frac{x \times 6 \times 10}{100 \times 3} }$

$\sf{Simple \: Interest = \frac{1x}{5} }$

$\sf{Amount = S.I. + P}$

$\sf{Amount = \frac{1x}{5} + x }$

$\sf{Amount = \frac{1x + 5x}{5} }$

$\sf{Amount = \frac{6x}{5} }$

$\sf{Rs. 1212 = \frac{6x}{5} }$

$\sf{Rs.1212 \times \frac{5}{6} = x}$

$\sf{ Rs. 202 \times 5 = x }$

$\sf{ x = Rs. 1010 }$

${\large{\green{\boxed{\mathfrak{Hence, \: the \: Sum \: is \: Rs. 1010. }}}}}$