81. An item when sold for 1,690 earned 30% profit on the cost price. Then the cost price is
(a) 507
(b) 630
(c) 1,300
(d) 130
(e) 150
Solution: (c)
If the C.P. be x, then
\(\displaystyle \frac{{x\times 130}}{{100}}=1690\)
\(\displaystyle \Rightarrow \)x = \(\displaystyle \frac{{1690\times 100}}{{130}}=1300\)
82. A fan is listed at 150 and a discount of 20% is given. Then the selling price is
(a) 180
(b) 150
(c) 110
(d) 120
(e) 160
Solution: (d)
S.P. of the fan = \(\displaystyle \frac{{150\times 80}}{{100}}=₹120\)
83. While selling to the retailer, a company allows 30% discount on the marked price of their products. If the retailer sells those products at marked price, his profit % will be :
(a) 30%
(b) \(\displaystyle 42\frac{1}{7}\%\)
(c) 40%
(d) \(\displaystyle 42\frac{6}{7}\%\)
(e) \(\displaystyle 33\frac{1}{3}\%\)
Solution: (d)
If the marked price of the product be ₹100, then
C.P. = ₹70
S.P. retailer = ₹100
Gain percent = \(\displaystyle \frac{{30}}{{70}}\times 100=\frac{{300}}{7}\)
= \(\displaystyle 42\frac{6}{7}\%\)
84. A merchant purchases a wrist watch for 450 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Then the list price of the watch is
(a) 650
(b) 700
(c) 550
(d) 600
(e) 750
Solution: (d)
If the marked price of watch be x, then
\(\displaystyle x\times \frac{{90}}{{100}}=\frac{{450\times 120}}{{100}}\)
\(\displaystyle \Rightarrow \)x = \(\displaystyle \frac{{450\times 120}}{{100}}=600\)
85. The cost price of a radio is ₹600. The 5% of the cost price is charged towards transportation. After adding that, if the net profit to be made is 15%, then the selling price of the radio must be
(a) ₹ 704.50
(b) ₹ 724.50
(c) ₹ 664.50
(d) ₹684.50
(e) ₹695.50
Solution: (b)
Actual C.P. of radio
\(\displaystyle 600+\frac{{600\times 5}}{{100}}=630\)
Required S.P. = \(\displaystyle \frac{{630\times 115}}{{100}}=724.50\)
86. If a shirt costs 64 after 20% discount is allowed, what was its original price in ?
(a) 76.80
(b) 80
(c) 88
(d) 86.80
(e) 90
Solution: (b)
If the original cost of shirt be x, then
\(\displaystyle x\times \frac{{80}}{{100}}=64\)
\(\displaystyle \Rightarrow \)x = \(\displaystyle \frac{{64\times 100}}{{80}}=80\)
87. The total cost of 8 buckets and 5 mugs is 92 and the total cost of 5 buckets and 8 mugs is 77. Find the cost of 2 mugs and 3 buckets.
88. A shopkeeper gives a discount of 10% in every 4 months at an article. If a man purchases it for Rs. 25515 in the month of December, then what was the initial price of that article in the month of January?
(a) Rs. 35000
(b) Rs. 36000
(c) Rs. 40000
(d) Rs. 45000
(e) None of these
Solution: (a)
Let the cost of article in January was Rs. x
In the month of April the cost of the article = \(\displaystyle \frac{{90x}}{{100}}\)
In the month of August, the cost of that article
\(\displaystyle =\frac{{90x}}{{100}}\times \frac{{90}}{{100}}=Rs.\frac{{81x}}{{100}}\)
In the month of December, the cost of that article
\(\displaystyle =\frac{{81x}}{{100}}\times \frac{{90}}{{100}}=Rs.\frac{{729x}}{{1000}}\)
Given, \(\displaystyle \begin{array}{l}\frac{{729x}}{{1000}}=25515\\x=Rs.35000\end{array}\)
89. A merchant loses 10% by selling an article. If the cost price of the article is 15, then the selling price of the article is
90. A fruit merchant makes a profit of 25% by selling mangoes at a certain price. If he charges Rs. 1 more on each mango, he would gain 50%. At first the price of one mango was
(a) Rs. 5
(b) Rs. 7
(c) Rs. 4
(d) Rs. 6
(e) Rs. 8
Solution: (a)
Original price of 1 mango = Rs. x (let).
C.P. of 1 mango = \(\displaystyle \frac{{100x}}{{125}}\)
= Rs. \(\displaystyle \frac{{4x}}{5}\)
Case II,
According to the question,
\(\displaystyle x+1=\frac{{4x}}{5}\times \frac{{150}}{{100}}\)
\(\displaystyle x+1=\frac{{6x}}{5}=\frac{{6x}}{5}-x=1\)
\(\displaystyle \Rightarrow \)\(\displaystyle \frac{x}{5}=1\)
\(\displaystyle \Rightarrow \) x = Rs. 5
