Marked price of three articles A B and C are Rs 2400 Rs 3000 and Rs 3600 respectively A is sold at ...........

Quant (SSC) Profit and loss

Marked price of three articles A, B and C are Rs.2400, Rs.3000 and Rs.3600 respectively. A is sold at a discount of 5%, B at a discount of 8% and C at a discount of 10%, yet the shopkeeper got a overall profit of 20%. If cost price of A is half of B and the cost price of B is half of C, find the cost price of C.

Rs. 3932.85

Rs. 3942.85

Rs. 3940.58

Rs. 3492.85

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Explanation:

MP of A = Rs. 2400
SP of A = 2400 × 95/100 = 2280
MP of B = Rs. 3000
SP of B = 3000 × 92/100 = 2760
MP of C = Rs. 3600
SP of C = 3600 × 90/100 = 3240
Total SP = Rs. (2280 + 2760 + 3240) = Rs. 8280
Total CP × 120/100 = 8280
⇒ total CP = 8280 × 10/12 = 6900
Now, let cp of A = x, B = 2x, C = 4x
4x + 2x + x = 6900
⇒ 7x = 6900
⇒ x = 6900/7
CP of C = 4x = 4 × 6900 /7 = Rs. 3942.85