Question

Javed deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and
and withdrew his
interest every year. At the end of the period, he had received altogether 17400 rp .
For how many years had he deposited his money ?
​

Answer 1

Answer:

12000x9/loo=1080

174oo =I2ooo+1080xX,X=No of years

1080xX=17400-l2ooo

lo80x=5400

x=54oo/1080=5

5yrs. Ans

Answer 2

Qᴜᴇꜱᴛɪᴏɴ:

Javed deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and and withdrew his interest every year. At the end of the period, he had received altogether 17400 rp . For how many years had he deposited his money ?

Gɪᴠᴇɴ:

• deposited money is 120000₹
• Money was deposited at 9 percent, per anum [ p.c.p.a ]
• At the end of the period, he had received altogether 17400₹

Tᴏ Fɪɴᴅ:

• the number of years had he deposited his money.

Sᴏʟᴜᴛɪᴏɴ:

• Simple Intrest [ SI ]
• Amount [ Amt. ]
• Principal [ P ]
• Interest [ I ]
• Time [ T ]

➻ P = 120000₹

➻ A = 17400

➻ R = 9%

➻ T = ?

➻ A = P + I ( Principal + Intrest )

➻ 17400 + 12000 + I

➻ 17400 - 12000 = I

⠀⠀⠀⠀⠀⠀ ⠀ $\therefore$ 5400 = I

⠀⠀⠀⠀⠀⠀⠀⠀$\boxed{\underline{\mathfrak{\red{I = 5400}}}}$

$: \implies \large \tt{I = \frac{P \times R \times T}{100}} \\ \\ : \implies \tt{5400 = \frac{12{ \cancel 0{ \cancel{0}}} \times 9 \times T }{1{ \cancel 0{ \cancel{0}}}} } \\ \\ : \implies\tt{\frac{54{{0}{{ \cancel{0}}}}}{12{ \cancel{0}} \times { {9}}} } \\ \\ : \implies {\tt{ {\cancel{\frac{60}{12} }}}} \tt{ =T }\\ \\ : \implies \tt{5 =T } \\ \\ \underline{ \boxed{\mathfrak{ \red{5 = T}}}}$

➠ Ans: Javed deposited money for 5 years