If the simple interest on a certain sum of money for 15 months at `7(1)/(2)` per annum exceeds the simple interest on the same sum for 8months at `12(

Question

If the simple interest on a certain sum of money for 15 months at `7(1)/(2)` per annum exceeds the simple interest on the same sum for 8months at `12(

If the simple interest on a certain sum of money for 15 months at `7(1)/(2)` per annum exceeds the simple interest on the same sum for 8months at `12(1)/(2)` per money (in rupee) is:(यदि किसी धनराशि पर `7(1)/(2)` वार्षिक पर से 15 मास का साधारण बियाज उसी धनराशि पर `12(1)/(2)` वार्षिक दर से 8 मास के साधारण बियाज से 32 .50 ज्यादा है तब धनराशि ( रूपए में ) होगी )
A. 3.12
B. 312.5
C. 3120
D. 3120.5

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

(c ) `T_(1)=15 "months"=(15)/(12)"years"`
`R_(1)=7(1)/(2)%=(15)/(2)%`
`T_(2)=8"months"=(8)/(12)years`
`R_(2)=12(1)/(2)%=(25)/(2)%`
Let the principle=P
According to the question,`(Pxx15xx15)/(12xx2xx100)-(Pxx25xx8)/(12xx2xx100)=32.50`
`(225P)/(2400)-(200P)/(2400)=32.50`
`(25P)/(2400)=32.50 Rightarrow P=3120`

4 views Answered 2023-02-05 15:29