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Q1- On selling at set at 5% loss and a lemon at 15% gain a crockery seller gains Rs 7 . if he sells tea set at 5% gain and lemon set at 10% gain,he gains

Rs 13.Find actual price of tea set and lemon set ?

Q2- Points A and B are 60 km apart from each other on a highway . A car starts from A and another from B at the same time. If they go in same direction , they meet in 9 hrs and if they go in opposite directions they meet in 9/7 hours. Find their speeds.

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Let tea set costs: T lemon set costs: L

then gain = - T * 5 /100 + L * 15/100 = Rs 7 => 15 L - 5 T = 700 --- (1)

also T * 5/100 + L * 10/100 = Rs 13 => 10 L + 5 T = 1300 --- (2)

add the equations to get: L = Rs 80 and then T = Rs 100 =========================

speed of A = v1 kmph speed of B = v2 kmph let v2 > v1

if they travel in the same direction: ( v2 - v1 ) * 9 hrs = 60 km => v2 - v1 = 20 / 3 kmph ---- (1)

if they travel in opposite direction towards each other: (v1 + v2) * 9/7 hrs = 60 km => v1 + v2 = 140/3 kmph --- (2)

adding the two equations we get: v2 = 80/3 kmph v1 = 20 kmph