Ex 8.2, 6 During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1450 and two shirts marked at Rs 850 each?
Given,
Discount Percentage = 10%
Marked Price of jeans = Rs 1450
Marked Price of shirt = Rs 850
Now,
Sale Price
= Sale Price of a Pair of jeans + Sale price for two shirts
= Sale Price of a Pair of jeans + 2 × Sale price for 1 shirts
Sale Price of a Pair of jeans
Marked Price = 1450
Discount Percentage = 10%
Now,
Discount Percentage = 𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡/(𝑀𝑎𝑟𝑘𝑒𝑑 𝑃𝑟𝑖𝑐𝑒) × 100
10 = (𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡 )/1450×100
(10 × 1450)/100 = Discount
145 = Discount
∴ Discount = 145
Sale Price of 1 Shirts
Marked Price = 850
Discount Percentage = 10%
Now,
Discount Percentage = 𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡/(𝑀𝑎𝑟𝑘𝑒𝑑 𝑃𝑟𝑖𝑐𝑒) × 100
10 = (𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡 )/(𝑀𝑎𝑟𝑘𝑒𝑑 𝑃𝑟𝑖𝑐𝑒 )×100
(10 × 850)/100 = Discount
85 = Discount
∴ Discount = 85
Also,
Sale Price
= Marked Price − Discount
= 1450 − 145
= 1305
Also,
Sale Price
= Marked Price – Discount
= 850 − 85
= 765
∴ Sale Price of a Pair of Jeans = 1305
& Sale Price of 1 Shirt = 765
Putting values in equation (1)
Sale Price = Sale price of a Pair of jeans + (2 × Sale Price of 1 shirt)
= 1305 + (2 × 765)
= 1305 + 1530
= 2835
∴ The customer will have to pay Rs 2,835

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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