Question

The ratio of cost price and selling price of a Husang phone is 3:5 whereas the equivalent ratio of a
iscream phone is 5:7. A shopkeeper sells H number of Husang phones and S number of iScream
phones. He makes an overall profit of 50%, Find the ratio of H to S.
options
A) 1:1
B) 2:5
C) 3:5
D) Cannot be determined​

Answer 1

Given :- The ratio of cost price and selling price of a Husang phone is 3:5 whereas the equivalent ratio of a iscream phone is 5:7. A shopkeeper sells H number of Husang phones and S number of iScream phones. He makes an overall profit of 50%, Find the ratio of H to S.

A) 1:1

B) 2:5

C) 3:5

D) Cannot be determined

Answer :-

→ Let CP of 1 Husang phone = Rs.3x

so,

→ CP of H Husang phone = Rs.3xH

and,

→ Let SP of 1 Husang phone = Rs.5x

so,

→ SP of H Husang phone = Rs.5xH

then,

→ Profit = SP - CP = Rs. Hx(5 - 3) = 2Hx

similarly,

→ Let CP of 1 iScream phone = Rs.5y

so,

→ CP of S iScream phone = Rs.5yS

and,

→ Let SP of 1 iScream phone = Rs.7y

so,

→ SP of S iScream phone = Rs.7yS

then,

→ Profit = SP - CP = Rs. 2yS .

therefore,

→ Total CP = Rs.(3Hx + 5Sy)

→ Total Profit = Rs.(2Hx + 2Sy)

hence,

→ (2Hx + 2Sy) * 100 / (3Hx + 5Sy) = 50

→ 4(Hx + Sy) = (3Hx + 5Sy)

→ 4Hx - 3Hx = 5Sy - 4Sy

→ Hx = Sy

→ H/S = (y/x) (D) Cannot be determined .

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