Question

The compound interest on Rs 50,000 at 4% p.a for 2 years compounded annually is Rs 4,080. 

    True

    False​

Answer 1

Answer:

True

Question:The compound interest on Rs 50,000 at 4% p.a for 2 years compounded annually is Rs 4,080. 

Answer:

✧Principal=rs 50,000

✧Rate:4%per annum

✧time(n)=2 Years

----------------------------------------

✧To find: Compound interest

----------------

✧A=P(1+R/100)^2

=rs 50,000(1+4/100)^2

=50,000(104/100)×(104/100)

=5×104×104

=54,080

✧✧Compound interest=Amount-Principal

=54,080-50,000

=4080

✧CI is 4080

Answer 2

Answer:

ǫᴜᴇsᴛɪᴏɴ

ᴛʜᴇ ᴄᴏᴍᴘᴏᴜɴᴅ ɪɴᴛᴇʀᴇsᴛ ᴏɴ ʀs. 50,000 ᴀᴛ 4% ᴘ.ᴀ ғᴏʀ 2 ʏᴇᴀʀs ᴄᴏᴍᴘᴏᴜɴᴅᴇᴅ ᴀɴɴᴜᴀʟʟʏ ɪs ʀs. 4, 080

ɪs ɪᴛ ᴛʀᴜᴇ ᴏʀ ғᴀʟsᴇ ??

sᴏʟᴜᴛɪᴏɴ

ɢɪᴠᴇɴ,

ᴘʀɪɴᴄɪᴘᴀʟ= ʀs.50,000

ʀᴀᴛᴇ = 4%ᴘ.ᴀ

ᴛɪᴍᴇ = 2 ʏᴇᴀʀs

ᴛʜᴇɴ, ᴀᴍᴏᴜɴᴛ =

$= > p(1 + \frac{r}{100} ) {}^{t}$

$= > 50000( \frac{100 + 4}{100} ) {}^{2}$

$= > 50000 \times \frac{104}{100} \times \frac{104}{100}$

$= > 54080$

ɴᴏᴡ , ᴄᴏᴍᴘᴏᴜɴ ɪɴᴛᴇʀᴇsᴛ = ᴀᴍᴏᴜɴᴛ - ᴘʀɪɴᴄɪᴘᴀʟ

ᴄɪ = 54080 - 50000

= ʀs. 4,080

ʜᴇɴᴄᴇ , ɪᴛ ɪs ᴛʀᴜᴇ

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs