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प्रश्न
The present worth of ₹ 11,660 due 9 months hence is ₹ 11,000. Find the rate of interest.
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उत्तर
Sum due = ₹ 11,660, Present worth = ₹ 11,000.
n = `9/12` years
True discount = Sum due – Present worth
= 11,660 - 11,000
= 660
True discount = `("P.W." xx "n" xx "r")/100`
`660 = (11,000 xx 9/12 xx "r")/100`
`660 xx 100 = 11,000 xx 9/12 xx "r"`
∴ r = `(660 xx 100 xx 12)/(11,000 xx 9)`
∴ r = 8%
∴ The rate of interest is 8% p.a.
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Mr. Pavan is paid a fixed weekly salary plus commission based on percentage of sales made by him. If on the sale of ₹68,000 and ₹73,000 in two successive weeks, he received in all ₹9880 and ₹10, 180. Complete the following activity to find his weekly salary and the rate of commission paid to him.
Solution: Income of Mr. Pavan = Weekly salary + Commission on sales
Salary + Commission on ₹68,000 = ₹9880 ... (1)
Salary+ Commission on ₹73,000 = ₹10,180 ... (2)
Subtracting (1) from (2), we get
Commission on ₹5000 = ₹ `square`
∴ the rate of commission = `square/5000 xx 100` = 6%
Commission on ₹68,000 at 6% = ₹`68000 xx6/100 = square`
From (1) and (3), we get Salary = ₹(9880 - 4080) = `square`
Hence, fixed weekly salary is ₹5800 and the rate of commission is 6%.
