Question

Find the amount and C.I when interest is compounded annually
P=₹18000 , T=2 years

r = 15 \frac{1}{2} \: p.ar=15
2
1
​
p.a
​

Answer 1

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Let the age of father be x years

Let the age of one of his children be y years and age of other children be z years

From given information,

x=2×(y+z)...(1)

After 20 years,

(x+20)=(y+20)+(z+20)...(2)

Substituting value of (1) in (2), we get

2×(y+z) +20=y+z+40

2y+2z−y−z=40−20

y+z=20...(3)

Substituting value of (3) in (1), we get

x=2×(20)

⇒x=40

• Dɪғғᴜꜱɪᴏɴ ɪꜱ ᴛʜᴇ ɴᴇᴛ ᴍᴏᴠᴇᴍᴇɴᴛ ᴏғ ᴀɴʏᴛʜɪɴɢ ғʀᴏᴍ ᴀ ʀᴇɢɪᴏɴ ᴏғ ʜɪɢʜᴇʀ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ ᴛᴏ ᴀ ʀᴇɢɪᴏɴ ᴏғ ʟᴏᴡᴇʀ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ. Dɪғғᴜꜱɪᴏɴ ɪꜱ ᴅʀɪᴠᴇɴ ʙʏ ᴀ ɢʀᴀᴅɪᴇɴᴛ ɪɴ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ. Tʜᴇ ᴄᴏɴᴄᴇᴘᴛ ᴏғ ᴅɪғғᴜꜱɪᴏɴ ɪꜱ ᴡɪᴅᴇʟʏ ᴜꜱᴇᴅ ɪɴ ᴍᴀɴʏ ғɪᴇʟᴅꜱ, ɪɴᴄʟᴜᴅɪɴɢ ᴘʜʏꜱɪᴄꜱ, ᴄʜᴇᴍɪꜱᴛʀʏ, ʙɪᴏʟᴏɢʏ, ꜱᴏᴄɪᴏʟᴏɢʏ, ᴇᴄᴏɴᴏᴍɪᴄꜱ, ᴀɴᴅ ғɪɴᴀɴᴄᴇ.

Answer 2

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