Parvinder sold a watch at a loss of 5 per cent If he had sold that watch for Rs - Maths - Comparing Quantities

Question

Parvinder sold a watch at a loss of 5 per cent If he had sold that
watch for Rs 27 more, he would have gained 7 per cent Find the cost
price of the watch

Varun.Rawat · Accepted Answer

Let CP of the watch = Rs xLoss % = 5%⇒loss % = lossCP×100 %⇒5 = lossCP×100⇒20 loss = CP⇒20CP - SP = CP⇒20 CP - 20 SP = CP⇒20 SP = 19 CP⇒SP = Rs 1920CP = Rs 19x20            
1   gain % = 7%⇒gain% =gainCP×100 %⇒7 = gainCP×100⇒100 gain = 7 CP⇒100SP - CP = 7 CP⇒100 SP - 100 CP = 7 CP⇒100 SP = 107 CP⇒SP = 107100CP⇒SP = Rs 107 x100              
2According to question,107 x100   - 19x20   = 27⇒107x - 95x100 = 27⇒12x100 = 27⇒x = 270012 = 225So, CP = Rs 225

Parvinder sold a watch at a loss of 5 per cent. If he had sold that watch for Rs 27 more, he would have gained 7 per cent. Find the cost price of the watch.