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प्रश्न
A certain sum due 3 months hence is `21/20` of the present worth, what is the rate of interest?
उत्तर
Given, S.D. =`21/20 xx "P.W."`, n = `3/12 = 1/4` years
Since, S.D. = P.W. + T.D.
∴ `21/20 "P.W." = "P.W." + "T.D."`
∴ `21/20 "P.W." - "P.W." = "T.D."`
∴ T.D. = `1/20` P.W.
Also, T.D. = `("P.W." xx "n" xx "r")/100`
∴ `1/20 "P.W." = ("P.W." xx 1/4 xx "r")/100`
∴ `1/20 = "r"/(4 xx 100)`
∴ r = `400/20 = 20 %` p.a.
∴ Rate of interest is 20% p.a.
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Solution: Total selling Price of three cars = 2,40,000 + 2,22,000 + 2,25,000
= `square`
Commision on total sale = 14%
= `14/100 xx square`
Selling price of First car = ₹ 2,40,000
Rate of commission = 17.5%
= `17.5/100 xx 2,40,000 = square`
∴ Commission on first car = ₹ `square`
Selling price of Second car = ₹ 2,22,000
Rate of commission = 12.5%
= `12.5/100 xx 2,22,000 = square`
∴ Commission on second car = ₹ `square`
Selling price of third car = ₹ 2,25,000
Let the rate of commission be x
Commission on third car = `x/100 xx 2,25,000`
∴ Commission on third car = Total commission − (commission on first car + commission on second car)
∴ `x/100 xx 2,25,000 = square - {square + square}`
∴ x = `square`
