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Standard VIII

Mathematics

Finding Discounts

A man sells a...

Question

A man sells a handset for Rs $5600$ and incurs a loss of $20 %$ . He sells a second handset at a profit of $50 %$ . If on the whole transaction, he neither gains nor less, find the cost price of the second handset.

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Solution

Let the cost price of first handset be 'x' then
SP= Rs 56.00
loss = 20%
loss= $\frac{C P - S P}{C P} \times 100$
$0.20 = \frac{x - 5600}{x}$
$\frac{5600}{x} = 1 - 0.20 = 0.80$
$x = \frac{560000}{0.80} = 7, 000$ Rs
Now loss in this deal = 7,000- 5600= 1400 Rs
if he sells second handset in profit equal to loss in first handset then
profit % = $\frac{S P - C P}{C P} \times 100$
$50 = \frac{1400}{x} \times 100$
$x = \frac{1400 \times 100}{50} = 2800 R s$

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A man sells a handset for Rs5600 and incurs a loss of 20%. He sells a second handset at a profit of 50%. If on the whole transaction, he neither gains nor less, find the cost price of the second handset.

A man sells a handset for Rs $5600$ and incurs a loss of $20 %$ . He sells a second handset at a profit of $50 %$ . If on the whole transaction, he neither gains nor less, find the cost price of the second handset.