10. After allowing a discount of 12% on the marked price of an article it is sold for 880. Find its marked
price.
11. The simple interest on a sum of money is 1/4 th of the principal and the number of years is equal to rate
4
per cent per annum. Find the rate per cent.
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10. Let x be the marked price. 12x/100+880=x
880=x-12x/100
880=x(1-12/100)
880=x(22/25)
x=880*25/22
x=1000. Answer
Hence, the marked price is rs. 1000
11. For ,
N=4years
R=4 %
We have S.I.=100PNR=100P×4×4=10016P=0.16P
And on interest being compounded for 3 years and R=5 %, Amount=P(1+100R)N=P(1+1005)3=P×(1.053)=1.157625P
So, C.I.=A−P=1.157625P−P=0.157625P
Given, S.I.−C.I=Rs228
=>0.16P−0.157625P=Rs228
=>0.002375P=Rs228
=>P=Rs96,000
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