Question

suparna purchased two suits for RS 2150 each. she sold one suit at a loss of 8% and the other at a gain. if she had a gain of RS 1230 on the whole transaction, find the selling price of the second suit.​

Answer 1

Answer:

★ S.P = Rs 3552 ★

Step-by-step explanation:

Given:

• She purchased two suits each costing Rs 2150
• She sold one suit at 8% loss and other at a gain.
• She gains Rs 1230 in whole transaction

To Find:

• Selling Price of second suit

Solution: We are taking both purchase as CP¹ and CP² and S.P¹ and S.P²

• CP¹ = Rs 2150
• CP² = Rs 2150

† Loss = 8% †

★ To find S.P when C.P and loss% are given we use formula :

• S.P = (100–loss%/100) x C.P

∴ S.P¹ = ( 100 – 8%)/100 x C.P¹

$\small\implies{\sf }$ S.P¹ = ( 100 – 8%)/100 x 2150

$\small\implies{\sf }$ S.P¹ = 197800/100 = Rs 1978

† Total Profit is Rs 1230 †

∴ ( S.P¹ + S.P² ) – ( C.P¹ + C.P² ) = 1230

→(1978 + S.P²) –( 2150 + 2150)=1230

→1978 + S.P² – 4300 = 1230

→ S.P² = (1230 + 4300) – 1978

→ S.P² = 5530 – 1978

→ S.P² = Rs 3552

Hence, Selling Price of second suit was Rs 3552