The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the discount offered by the shopkeeper on each Kurta Statement I: The sum of the marked price of 4kurtas is equal to the sum of total cost price of 8kurtas Statement II: The ratio of discount offered to the profit gained on each kurta is 1 : 2 Statement III: The sum of the selling price and the cost price of one kurta is Rs. 980.?

Question

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the discount offered by the shopkeeper on each Kurta Statement I: The sum of the marked price of 4kurtas is equal to the sum of total cost price of 8kurtas Statement II: The ratio of discount offered to the profit gained on each kurta is 1 : 2 Statement III: The sum of the selling price and the cost price of one kurta is Rs. 980.?

II and III
I and II
All I, II and III
I and III
None of these

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 3 : All I, II and III

From statement I,

M.P of 4 kurtas = C.P of 8 Kurtas

⇒MP = 2 CP ----(1)

From statement II

⇒ Discount/Profit = (MP - SP)/(SP - CP) = 1/2

⇒ 2 (MP - SP) = (SP - CP)

⇒ 2 MP - 2 SP = SP - CP

⇒ 2 MP - 3 SP = -CP ----(2)

Substituting Equation 2 in Equation 1, we get

⇒ 4 CP - 3 SP = -CP

⇒ 5CP = 3SP

⇒ CP = 3SP/5 ----(3)

From statement III

SP + CP = 980 ----(4)

From Equation 3 and 4, we get

⇒ SP + 3SP/5 = 980

⇒ 8 SP = 980 × 5

⇒ SP = 980 × 5/8

⇒ SP = Rs. 612.5

⇒ C.P = Rs. 612.5 × 3/5 = 367.5

From Equation 1,

MP = 2 CP = 2 × 367.5 = Rs. 735

Discount = MP - SP = 735 - 612.5 = Rs. 122.5

∴ All the three statements are required to answer the question