Rahim marks up all Jeans in his shop 20% higher. He gave 25% discount on 2/5th of the total Jeans and 12% discount on 1/4th of the total Jeans. If Rahim gets an overall profit of 2.3%, then what percentage of discount should be given by Rahim to customers on the remaining Jeans.
5%
15%
17%
6%
Explanation:
Let Rahim has 100 Jeans and C.P of each Jeans is Rs. 100.
Then, Marked price of each Jeans = 100 × 120/100 = Rs. 120
And, Selling price of 100 Jeans = 100 × 100 × 102.3/100 = Rs. 10230
Selling price of 40 Jeans (i.e., 2/5 of 100) = 40 × 120 ×75/100 = 3600
Selling price of 25 Jeans (i.e., 1/4 of 100) = 25 × 120 ×88/100 = 2640
Let Rahim gave a% discount on remaining (i.e., 100 – 40 – 25 = 35) Jeans.
Selling price of remaining 35 Jeans
= 35 × 120 ×100 – a/100 = 4200 ×100 – a /100
According to the question,
10230 = 3600 + 2640 + 4200 ×100 – a/100
⇒ 4200 ×100 – a /100 = 10230 – 6240 = 3990
⇒ 100 – a/100 = 3990 /4200 = 0.95
⇒ 100 – a = 95
⇒ a = 100 – 95
⇒ a = 5%
Let Rahim has 100 Jeans and C.P of each Jeans is Rs. 100.
Then, Marked price of each Jeans = 100 × 120/100 = Rs. 120
And, Selling price of 100 Jeans = 100 × 100 × 102.3/100 = Rs. 10230
Selling price of 40 Jeans (i.e., 2/5 of 100) = 40 × 120 ×75/100 = 3600
Selling price of 25 Jeans (i.e., 1/4 of 100) = 25 × 120 ×88/100 = 2640
Let Rahim gave a% discount on remaining (i.e., 100 – 40 – 25 = 35) Jeans.
Selling price of remaining 35 Jeans
= 35 × 120 ×100 – a/100 = 4200 ×100 – a /100
According to the question,
10230 = 3600 + 2640 + 4200 ×100 – a/100
⇒ 4200 ×100 – a /100 = 10230 – 6240 = 3990
⇒ 100 – a/100 = 3990 /4200 = 0.95
⇒ 100 – a = 95
⇒ a = 100 – 95
⇒ a = 5%