Question

In one shop, on article is marked 75% above the cost price, but the purchaser is allowed a discount of 20% on the marked price. In another shop a similar article is sold for Rs 58 at a gain of 45%. What did the purchased pay for this article in the first shop?

(a) Rs 60

(b) Rs 56

(c) Rs 62

(d) Rs 65

Answer 1

Correct option is (b) Rs 56

Let Marked price be M.P, Cost Price be C.P, Selling Price be S.P, Profit percent be P and discount percent be d.

Given,

In Shop 1

M.P = C.P + \(\frac{75}{100}\) × C.P

M.P = \(\frac{175 \times C.P}{100}\)

d = 20%

In Shop 2

Selling Price = Rs 58 and gain = 45%

S.P = \((1 + \frac P{100})\) × C.P

58 = \((1 + \frac {45}{100})\) × C.P

C.P = 40

Substituting C.P in shop 1

M.P = \(\frac{175}{100} \times 40\)

M.P = 70

M.P × \((1 - \frac {d}{100})\) = S.P

S.P = 70 × \((1 - \frac {20}{100})\)

S.P = 56