Given : P = Rs. 8,000, R = 5%, T = 2 years
For simple interest,
S.I. = `[ "P" xx "R" xx "T"]/100`
= `[8,000 xx 5 xx 2]/100`
= Rs. 800
For compound interest,
`"A" = "P"( 1 + r/100 )^n`
`"A" = 8,000( 1 + 5/100 )^2`
= `8,000 xx 21/20 xx 21/20`
= Rs. 8,820
C.I. = A - P = Rs. (8,820 - 8,000)
= Rs. 820
Now, C.I. - S.I. = Rs. ( 820 - 800 ) = Rs. 20.
Thus, the difference between the compound interest and the simple interest is Rs. 20.
Calculate the difference between the compound interest and the simple interest on Rs. 8000 in three years and at 10% per annum.
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C.I.A=p[1+r/100]2 = 8000[1+15/100]2 = 8000[100+15/100]2 = 8000[115/100]2 = 8000* 115/100* 115/100 = 10580I = A - P = 10580 - 8000 = 2580S.I.S.I. = P*R*T/100 = 8000 * 15 * 2/100 = 2400 Difference = C.I. - S.I. = 2580 - 2400
= 180
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Given : P = Rs. 8,000, R = 5%, T = 2 years
For simple interest,
S.I. = `[ "P" xx "R" xx "T"]/100`
= `[8,000 xx 5 xx 2]/100`
= Rs. 800
For compound interest,
`"A" = "P"( 1 + r/100 )^n`
`"A" = 8,000( 1 + 5/100 )^2`
= `8,000 xx 21/20 xx 21/20`
= Rs. 8,820
C.I. = A - P = Rs. (8,820 - 8,000)
= Rs. 820
Now, C.I. - S.I. = Rs. ( 820 - 800 ) = Rs. 20.
Thus, the difference between the compound interest and the simple interest is Rs. 20.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
No worries! We‘ve got your back. Try BYJU‘S free classes today!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Calculate the difference between the compound interest and the simple interest on Rs. 8000 in three years and at 10% per annum.
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C.I.A=p[1+r/100]2 = 8000[1+15/100]2 = 8000[100+15/100]2 = 8000[115/100]2 = 8000* 115/100* 115/100 = 10580I = A - P = 10580 - 8000 = 2580S.I.S.I. = P*R*T/100 = 8000 * 15 * 2/100 = 2400 Difference = C.I. - S.I. = 2580 - 2400
= 180
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