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प्रश्न
Vaidegi sold two sarees for ₹ 2200 each. On one she gains 10% and on the other she loses 12%. Find her total gain or loss percentage in the sale of the sarees
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उत्तर
Saree 1 :
The selling price is ₹ 2200, let cost price be C.P1, gain is 10%. We need to find C.P1
Using the formula
S.P = `"C.P"_1(1 + ("gain"%)/10)` and substituting the values
2200 = `"C.P"_1(1 + 10/100)`
∴ C.P1 = `2200 xx 100/110`
= 2000
Saree 2 :
The selling price is 2200, let cost price be CP2, loss is given as 12%. We need to find CP2
using the formula as before,
S.P = `"C.P"_2 (1 - ("loss"%)/100)` and substituting the values
2200 = `"C.P"_2 (1 - 12/100)`
= `"C.P"_2 xx ((100 - 12)/100)`
= `"C.P"_2 xx 88/100`
∴ C.P2 = `(2200 xx 100)/88`
= 2500
∴ Cost price of both together is C.P1 + C.P2
= 2000 + 2500 = 4500 ...(1)
Selling price of both together is 2 × 2200 = 4400 ...(2)
Since net selling price is less than net cost price, there is a loss.
Loss % = `"loss"/"cost price" xx 100`
Loss = Net cost price – Net selling price
(1) – (2) = 4500 – 4400 = 100
∴ loss % = `100/4500 xx 100`
= `100/45`
= `20/9`
= `2 2/9%`
= `2 2/9%` loss
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