Two denims of Levi rsquo s and Mufti having same marked price have been sold at 15 and 12 discounts ...........

Quant (SSC) Profit and loss

Two denims of Levi’s and Mufti, having same marked price have been sold at 15% and 12% discounts, respectively. The cost price of Mufti was Rs. 160 less than the cost price of Levi’s. The profit earned on Levi’s and Mufti was 6.25% and 20% respectively. Find the marked price of each denim.

2400

4000

4200

2040

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Explanation:

Let the marked price of each denim was Rs. ‘x’
Then, the S.P. of Levi’s denim = 85% of x = Rs.17x/20
And, the S.P. of Mufti denim = 88% of x = Rs. 22x/25
C.P. of Levi’s denim = 17x/20 x 100 /106.25 = 4x/5
C.P. of Mufti denim = 22x/25 x 100/120 = 11x/15
According to the question,
⇒ 4x/5 - 11x /15 = 160
⇒ 12x – 11x /15 =
⇒ x/15 = 160
⇒ x = 2400
∴ The marked price of each denim = Rs. 2400