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IPMAT Indore 2023 - QA (SA) Q15 Explanation
December 30, 2024
Explanation:
(140)
y = 4970 - |x| represents set of two line whose equations is given by
y = 4970 – x | when x ≥0 …(1)
y = 4970 + x | when x <0 …(2)
Plotting the graph of given curves we get,
Put y = 𝑥^2 in eqn. (1)
𝑥^2 + 𝑥 =4970
𝑥^2 + 71𝑥 − 70𝑥 − 4970 =
𝑥(𝑥 +71) − 70(𝑥+71) = 0
𝑥 = 70 𝑜𝑟 −71
∴ x = 70 (acceptable) as 𝑥 ≥ 0
∴ The length of line segment LM = 70 + 70 = 140.
After giving 20% discount on x, the selling price of each bead= 80%of x = 0.8x…..eq.(2)
Equating equations (1) and (2),
0.8x = 9600
x =12000
Thus, list price of each bead = INR 12000. Ans.