Arvind bought an article for ₹x. He sold it to Biru at a loss of 26%. Biru spent ₹102 on its transportation and sold it to Minu at a profit of 50%. If Minu bought it for ₹1,374, then what is the value of x?
1,100
Arvind sold the article at a loss of 26%, so Biru's purchase price was 74% of ₹x, that is 0.74x.
Biru spent ₹102 on transportation, so his total cost was (0.74x + 102).
He sold it to Minu at a profit of 50%, so 1.5 × (0.74x + 102) = 1,374.
Therefore 0.74x + 102 = 916, giving 0.74x = 814 and x = 814 ÷ 0.74 = 1,100.
Hence, the answer is 1,100.
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Important Questions from Successive Selling
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- Find the single equivalent discount (rounded off to two decimal places) for successive discounts of 18%, 6% and 25%.
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